Effect of van der Waals interaction on the properties of SnS2 layered semiconductor

Nowadays, dispersion correction applied on layered semiconductors is a topic of interest. Among the known layered semiconductors, SnS2 polytypes are wide gap semiconductors with a van der Waals interaction between their layers, which could form good materials to be used in photovoltaic applications. The present work gives an approach to the SnS2 geometrical and electronic characterization using an empirical dispersion correction added to the Perdew–Burke–Ernzerhof functional and subsequent actualization of the electronic charge density using the screened hybrid Heyd–Scuseria–Ernzerhof functional using a density functional code. The obtained interlayer distance and band-gap are in good agreement with experimental values when van der Waals dispersion forces are included.

Photovoltaic application of the V, Cr and Mn-doped cadmium thioindate

The CdIn2S4 spinel semiconductor is a potential photovoltaic material due to its energy band gap and absorption properties. These optoelectronic properties can be potentiality improved by the insertion of intermediate states into the energy bandgap. We explore this possibility using M = Cr, V and Mn as an impurity. We analyze with first-principles almost all substitutions of the host atoms by M at the octahedral and tetrahedral sites in the normal and inverse spinel structures. In almost all cases, the impurities introduce deeper bands into the host energy bandgap. Depending on the site substitution, these bands are full, empty or partially-full. It increases the number of possible inter-band transitions and the possible applications in optoelectronic devices. The contribution of the impurity states to these bands and the substitutional energies indicate that these impurities are energetically favorable for some sites in the host spinel. The absorption coefficients in the independent-particle approximation show that these deeper bands open additional photon absorption channels. It could therefore increase the solar-light absorption with respect to the host.

Electronic and optical properties of substitutional V, Cr and Ir impurities in Cu2ZnSnS4

The substitution of cation atoms by V, Cr and It in the natural and synthetic quaternary Cu2ZnSnS4 semiconductor is analyzed using first-principles methods. In most of the substitutions, the electronic structure of these modified CZTS is characterized for intermediate bands with different occupation and position within of the energy band gap. A study of the symmetry and composition of these intermediate bands is carried out for all substitutions. These bands permit additional photon absorption and emission channels depending on their occupation. The optical properties are obtained and analyzed. The absorption coefficients are split into contributions from the different absorption channels and from the inter- and intra-atomic components. The sub bandgap transitions are significant in many cases because the anion states contribute to the valence, conduction and intermediates bands. These properties could therefore be used for novel optoelectronic devices.

Analysis of SnS2 hyperdoped with V proposed as efficient absorber material

Intermediate-band materials can improve the photovoltaic efficiency of solar cells through the absorption of two subband-gap photons that allow extra electron-hole pair formations. Previous theoretical and experimental findings support the proposal that the layered SnS2 compound, with a band-gap of around 2 eV, is a candidate for an intermediate-band material when it is doped with a specific transition-metal. In this work we characterize vanadium doped SnS2 using density functional theory at the dilution level experimentally found and including a dispersion correction combined with the site-occupancy-disorder method. In order to analyze the electronic characteristics that depend on geometry, two SnS2 polytypes partially substituted with vanadium in symmetry-adapted non-equivalent configurations were studied. In addition the magnetic configurations of vanadium in a SnS2 2H-polytype and its comparison with a 4H-polytype were also characterized. We demonstrate that a narrow intermediate-band is formed, when these dopant atoms are located in different layers. Our theoretical predictions confirm the recent experimental findings in which a paramagnetic intermediate-band material in a SnS2 2H-polytype with 10% vanadium concentration is obtained.

Propiedades ópticas y estructurales de nanoestructuras de Zn(Cd)(Mg)O

En la presente tesis doctoral se ha realizado un estudio utilizando diferentes técnicas de crecimiento (RPE-MOCVD y spray pyrolysis) y estructuras (nanohilos, pozos y puntos cuánticos y capas) con el objetivo de desarrollar dispositivos que cubran desde el rango visible hasta el ultravioleta. Es por esta razón por la que se han elegido materiales basados en ZnO, debido a la posibilidades que estos ofrecen para variar su bandgap en un amplio rango de energías. Prueba de ello es que en este estudio se ha conseguido cubrir un rango espectral desde 1.86 hasta 4.11 eV, estudiandose además fenómenos físicos como son la difusión e incorporaci ón de la aleación o la adsorción de gases en la super_cie, lo que ha permitido la fabricación de diferentes fotodetectores de gran sensibilidad. Por todo ello, los resultados obtenidos en esta tesis suponen una gran contribución al conocimiento de las propiedades físicas de las aleaciones de Zn(Cd)O y Zn(Mg)O para potenciales aplicaciónes en dispositivos que operen en el rango visible y ultravioleta del espectro, respectivamente. En esta memoria se da en primer lugar una visión de las propiedades de materiales basados en ZnO, entrando en detalle en una de las ventajas que este presenta, la facilidad que tiene este material para formar nanoestructuras. En el capítulo 3 se dan los conceptos teóricos necesarios para comprender las propiedades ópticas de este tipo de materiales, mostrando también los resultados más reseñables obtenidos en ZnO. En los capítulos referentes a los resultados se pueden diferenciar dos grandes bloques. En el primer bloque de resultados se han analizado nanohilos y pozos cuánticos de Zn(Cd)O crecidos por la técnica de RPE-MOCVD (Capítulos 4 y 5). En el segundo se expondrá el estudio realizado sobre capas y puntos cuánticos de Zn(Mg)O crecidos por la técnica spray pyrolysis como se describe en mayor detalle a continuación. Nanohilos y pozos cuánticos de Zn(Cd)O crecidos por RPE-MOCVD Teóricamente aleando el ZnO con CdO es posible disminuir el valor del band- gap desde 3.37 eV hasta 0.95 eV, cubriendo por completo el espectro visible. El desarrollo del ternario Zn(Cd)O permitiría la fabricación de heteroestructuras y pozos cuánticos, muy importantes en el desarrollo de dispositivos optoelectrónicos que cubran la parte visible del espectro. Sin embargo, la diferencia de estructura cristalina entre estos dos materiales junto a la baja solubilidad del Cd y su alta presión de vapor, di_culta la obtención de material de alta calidad cristalina con alto contenido en Cd. En esta tesis doctoral se ha realizado una completa caracterización óptica y estructural de nanohilos de Zn(Cd)O credidos por la técnica de RPE-MOCVD. Estos nanohilos tinene unas longitudes comprendidas entre 1 y 3 _m y diámetros entre 100 y 200 nm. La concentración máxima introducida de Cd en estas estructuras ha sido de hasta un 54% manteniendo la estructura wurtzita del ZnO, siendo este el mayor contenido de Cd introducido hasta la fecha en nanostructuras basada en ZnO. Este hecho se traduce en una variación de la energía de emisión entre 3.31 y 1.86 eV con el aumento en Cd. El uso de diferentes técnicas de alta resoluci ón de caracterización estructural ha permitido demostrar la presencia de una sola fase estructural wurtzita sin observarse ningún indicio de separación de fases ni acumulación de Cd a lo largo del nanohilo para todos los contenidos de Cd. Con el propósito de fabricar dispositivos en nanohilos individuales, parte de esta tesis doctoral ha estado dedicada a estudiar el impacto que el recocido térmico tiene en las propiedades ópticas y eléctricas de nanohilos de Zn(Cd)O. El recocido térmico es un proceso clave en la optimización de dispositivos, ya sea para la obtenci ón de contactos óhmicos, reducción de defectos o difusión de dopantes por ejemplo. En este estudio se ha observado una mejora muy signi_cativa de las propiedades de emisión de los nanohilos cuando estos eran recocidos a temperaturas mayores que la de crecimiento (300 oC). En las muestras con Cd se ha observado además que el recocido también produce un desplazamiento de la emisión hacia mayores energías debido a una reducción homogénea del contenido de Cd. Medidas de fotoluminiscencia con resolución temporal muestran el impacto que tiene la localización del excitón en las _uctuaciones de potencial, debidas a una distribución estadística del Cd, en la dinámica de los portadores. Comparando el tiempo de vida de los portadores entre los nanohilos recocidos y sin recocer se ha observado un aumento de este parámetro en las estructuras recocidas. Este aumento es fundamentalmente debido a una reducción de centros de recombinación no radiativa asociados a defectos presentes a lo largo del nanohilo. Además, se ha estudiado la evolución de los tiempos de vida de los portadores en función de la temperatura, registrándose una menor estabilidad con la temperatura de los tiempos de vida en las muestras recocidas. Este resultado sugiere que el recocido térmico consigue reducir parte del desorden de la aleación en la estructura. Tras haber caracterizados los nanohilos se desarrollaron una serie de procesa dos para la fabricación de dispositivos basados en nanohilos individuales. Se fabricaron en concreto fotodetectores sensibles al UV, en los que se observó también la alta sensibilidad que muestran a la adsorción de gases en la super_cie, incrementada por la gran relación super_cie/volúmen característica de las nanoestructuras. Estos procesos de adsorción observados tienen un impacto directo sobre las propiedades ópticas y electricas de los dispositivos como se ha demostrado. Por ello que en esta tesis se hayan estudiado en detalle este tipo de procesos, ideando maneras para tener un mayor control sobre ellos. Finalmente se crecieron estructuras de pozos cuántico de ZnCdO/ZnO en nanohilos con contenidos de Cd nominales de 54 %. Las medidas ópticas realizadas mostraron como al aumentar la anchura del pozo de 0.7 a 10 nm, la emisión relacionada con el pozo se desplazaba entre 3.30 y 1.97 eV. Este gran desplazamiento representa el mayor obtenido hasta la fecha en pozos cuánticos de ZnCdO/ZnO. Sin embargo, al caracterizar estructuralmente estas muestras se observó la presencia de procesos de difusión de Cd entre el pozo y la barrera. Como se ha podido medir, este tipo de procesos reducen sustancialmente la concentración de Cd en el pozo al difundirse parte a la barrera. cambiando completamente la estructura de bandas nominal de estas estructuras. Este estudio demuestra la importancia del impacto de los procesos de difusión en la interpretación de los efectos de con_namiento cuántico para este tipo de estructuras. Capas y puntos cuánticos de Zn(Mg)O crecidos por spray pyrolysis La técnica de spray pyrolysis, debido a su simplicidad, bajo coste y capacidad de crecer sobre grandes áreas conservando una alta calidad cristalina presenta un gran interés en la comunidad cientí_ca para el potencial desarrollo de dispositivos comerciales. En esta tesis se ha estudiado las propiedades ópticas y eléctricas de capas y puntos cuánticos de Zn(Mg)O crecidos por esta técnica. Al contrario que pasa con el Cd, al introducir Mg en la estructura wurtzita de ZnO se consigue aumentar el bandgap del semiconductor. Sin embargo, al igual que pasa con el CdO, la diferencia de estructura cristalina entre el ZnO y el MgO limita la cantidad de Mg que se puede incorporar, haciendo que para una cierta concentración de Mg aparezcan el fenómeno de separación de fases. En esta tesis se ha conseguido incorporar hasta un contenido de Mg del 35% en la estructura wurtzita del ZnO utilizando la técnica de spray pyrolysis, resultado que representa la mayor concentración de Mg publicada hasta la fecha. Este hecho ha posibilitado variar la energía del borde de absorción desde 3.30 a 4.11 eV. En estas capas se ha realizado una completa caracterización óptica observándose una diferencia entre las energías del borde de absorción y del máximo de emisión creciente con el contenido en Mg. Esta diferencia, conocida como desplazamiento de Stokes, es debida en parte a la presencia de _uctuaciones de potencial producidas por un desorden estadístico de la aleación. Se han fabricado fotodetectores MSM de alta calidad utilizando las capas de Zn(Mg)O previamente caracterizadas, observándose un desplazamiento del borde de absorción con el aumento en Mg desde 3.32 a 4.02 eV. Estos dispositivos muestran altos valores de responsividad (10-103 A/W) y altos contrastes entre la responsividad bajo iluminación y oscuridad (10-107). Estos resultados son en parte debidos a la presencia de mecanismos de ganancia y una reducción de la corriente de oscuridad en las muestras con alto contenido de Mg. Utilizando esta misma técnica de crecimiento se han crecido puntos de Zn(Mg)O con concentraciones nominales de Mg entre 0 y 100 %, con dimensiones medias entre 4 y 6 nm. Las medidas estructurales realizadas muestran que hasta un valor de Mg de 45 %, los puntos están compuestos por una única fase estructural, wurtzita. A partir de esa concentración de Mg aparece una fase cúbica en los puntos, coexistiendo con la fase hexagonal hasta una concentración nominales del 85 %. Para concentraciones mayores de Mg, los puntos muestran una única fase estructural cúbica. Medidas de absorción realizadas en estos puntos de Zn(Mg)O muestran un desplazamiento del borde de absorción entre 3.33 y 3.55 eV cuando la concentraci ón de Mg en los puntos aumenta hasta el 40 %. Este desplazamiento observado es debido solamente a la fase wurtzita del Zn(Mg)O donde se incorpora el Mg. ABSTRACT This PhD theis presents a study using di_erent growth techniques (RPEMOCVD and spray pyrolysis) and structures (nanowires, quantum dots and wells and layers) in order to develop devices that extend from the visible to the ultraviolet range. For this reason ZnO based materials have been choosen, because they o_er the possibility to tunne the bandgap in this energy range. Proof of this is that this study has managed to cover a spectral range from 1.86 to 4.11 eV, also being studied physical phenomena such as di_usion and incorporation of alloy or adsorption of gases on the surface, allowing the develop di_erent highly sensitive photodetectors. Therefore, the results obtained in this thesis are a great contribution two large blockso the knowledge of the physical properties of alloys Zn(Cd)O and Zn(Mg)O for potential applications in devices that operate in the visible and ultraviolet range, respectively. In the _rst chapter, the general properties of ZnO-based materials are presented, showing the facilities that these kind of materials o_er to obtain di_erent nanoestructures. In Chapter 3, optical theoretical concepts are given to understand the optical properties of these materials, also showing the most signi_cant results of ZnO. In the chapters related with the results, two blocks could be distinguish. In the _rst one, Zn(Cd)O nanowires and quantum wells grown by RPE-MOCVD have been analyzed (Chapters 4 and 5). The second block of results shows the study performed in Zn(Mg)O _lms and quantum dots grown by spray pyrolysis. Zn(Cd)O nanowires and quantum wells grown by RPE-MOCVD In summary, the results of the PhD thesis are a great contribution to the knowledge of the physical properties of Zn(Cd)O and Zn(Mg)O alloys and their application for high performance devices operating in the visible and UV ranges, respectively. The performance of the device is still limited due to alloy solubility and p-doping stability, which opens a door for future research in this _eld. Theoretically, annealing ZnO with CdO allows to reduce the bandgap from 3.37 to 0.95 eV, covering the whole visible spectrum. The development of ZnCdO alloys allows the fabrication of heterostructures and quantum wells, necessary for the development of high performance optoelectronic devices. However, the di_erent crystal structures between CdO and ZnO and the low solubility of Cd and its high vapor pressure, hinders the growth of ZnCdO alloys with high Cd contents. In this PhD thesis Zn(Cd)O nanowires have been optically and structurally characterized, obtaining a maximum Cd content of 54% while maintaining their wurtzite structure. This Cd content, which allows lowering the bandgap down to 1.86 eV, is the highest concentration ever reported in nanostructures based on ZnO. The combination of optical and structural characterization techniques used during this thesis has allowed the demonstration of the presence of a single wurtzite structure, without observing any indication of phase separation or Cd accumulation along the nanowire. Annealing processes are essential in the fabrication of optoelectronic devices. For this reason, a complete study of the annealing e_ects in the optical and electrical properties of Zn(Cd)O nanowires has been performed. In the _rst place, annealing nanowires at higher temperatures than their growth temperature (300 oC) allows a signi_cant improvement of their emission properties. However, in the samples that contain Cd a shift in the emission towards higher energies has been observed due to a homogeneous reduction of the Cd content in the nanowires. Time resolved photoluminescence measurements show the impact of the exciton localization in the potential _uctuations due to a statistical alloy disorder. An increase in the carrier lifetime has been obtained for the annealed nanowires. This increase is mainly due to the reduction of non-radiative recombination centers associated with the defects present in the material. Furthermore, temperature dependent time resolved photoluminescence measurements suggest a reduction of the alloy disorder in the annealed samples. In this thesis, single nanowire photodetectors with a high responsivity in the UV range have been demonstrated. Due to the high surface/volume ratio, these structures are very sensitive to gas adsorption at the surface, which largely de_nes the optical and electrical properties of the material and, therefore, of the device. With the aim of obtaining time stable devices, the dynamic adsorption-desorption processes have been studied, developing di_erent approaches that allow a higher control over them. Finally, ZnCdO/ZnO quantum wells have been grown with a nominal Cd concentration of 54% inside the well. The performed optical measurements show that increasing the well width from 0.7 to 10 nm, shifts the emission related with the well from 3.30 to 1.97 eV. This result represents the highest shift reported in the literature. However, a detailed structural characterization shows the presence of di_usion phenomena which substantially reduce the concentration of Cd in the well, while increasing it in the barrier. This type of phenomena should be considered when ac curately interpretating the quantum con_nement e_ects in Zn(Cd)O/ZnO quantum wells. Theoretically, annealing ZnO with CdO allows to decrease the bandgap from 3.37 to 0.95 eV, covering the whole visible spectrum. Zn(Mg)O _lms and quantum dots grown by spray pyrolysis Due to its simplicity, low-cost and capacity to grow over large areas conserving a high crystal quality, spray pyrolysis technique presents a great interest in the scienti_c community for developing comercial devices. In this thesis, a complete study of the optical and structural properties of Zn(Mg)O _lms and quantum dots grown by spray pyrolysis has been performed. Contrary to Zn(Cd)O alloys, when introducing Mg in the ZnO wurtzite structure an increase in the bandgap in obtained. Once again, the di_erence in the crystal structure of ZnO and MgO limits the amount of Mg that can be introduced before phase separation appears. In this PhD thesis, a maximum Mg content of 35% has been incorporated in the wurtzite structure using spray pyrolysis. This variation in the Mg content translates into an increase of the absorption edge from 3.30 to 4.11 eV. Up to this date, this result represents the highest Mg content introduced by spray pyrolysis in a ZnO wurzite structure reported in the literature. The comparison of the emission and absorption spectra shows the presence of an increasing Stokes shift with Mg content. This phenomenon is partialy related with the presence of potential _uctuations due to an statistic alloy disorder. MSM photodetectors have been processed on previously characterized Zn(Mg)O _lms. These devices have shown a shift in the absorption edge from 3.32 to 4.02 eV with the increase in Mg content, high responsivity values (10-103 A/W) and high contrast ratios between illuminated and dark responsivities (10-107). These values are explained by the presence of a gain mechanism and a reduction of dark current in the ZnMgO samples. Zn(Mg)O quantum dots have also been grown using spray pyrolysis with Mg concentrations between 0 and 100% and with average widths ranging 4 to 6 nm. Structural measurements show that at a Mg concentration of 45% the cubic phase appears, coexisting with the hexagonal phase up to an 85% concentration of Mg content. From 85% onwards the quantum dots show only the cubic phase. Absorption measurements performed in these structures reveal a shift in the absorption edge from 3.33 to 3.55 eV when the Mg content increases up to 40 %.

Binary metal oxides for composite ultrafiltration membranes

A new ultrafiltration membrane was developed by the incorporation of binary metal oxides inside polyethersulfone. Physico-chemical characterization of the binary metal oxides demonstrated that the presence of Ti in the TiO2?ZrO2 system results in an increase of the size of the oxides, and also their dispersity. The crystalline phases of the synthesized binary metal oxides were identified as srilankite and zirconium titanium oxide. The effect of the addition of ZrO2 can be expressed in terms of the inhibition of crystal growth of anocrystalline TiO2 during the synthesis process. For photocatalytic applications the band gap of the synthesized semiconductors was determined, confirming a gradual increase (blue shift) in the band gap as the amount of Zr loading increases. Distinct distributions of binary metal oxides were found along the permeation axis for the synthesized membranes. Particles with Ti are more uniformly dispersed throughout the membrane cross-section. The physico-chemical characterization of membranes showed a strong correlation between some key membrane properties and the spatial particle distribution in the membrane structure. The proximity of metal oxide fillers to the membrane surface determines the hydrophilicity and porosity of modified membranes. Membranes incorporating binary metal oxides were found to be promising candidates for wastewater treatment by ultrafiltration, considering the observed improvement influx and anti-fouling properties of doped membranes. Multi-run fouling tests of doped membranes confirmed the stability of permeation through membranes embedded with binary TiO2?ZrO2 particles.

Electroreflectance characterization of AlInGaN/GaN high-electron mobility heterostructures

Room temperature electroreflectance (ER) spectroscopy has been used to study the fundamental properties of AlxInyGa${}_{1-x-y}$N/AlN/GaN heterostructures under different applied bias. The (0001)-oriented heterostructures were grown by metal-organic vapor phase epitaxy on sapphire. The band gap energy of the AlxInyGa${}_{1-x-y}{\rm{N}}$ layers has been determined from analysis of the ER spectra using Aspnes' model. The obtained values are in good agreement with a nonlinear band gap interpolation equation proposed earlier. Bias-dependent ER allows one to determine the sheet carrier density of the two-dimensional electron gas and the barrier field strength.

Thermodynamics of zinc insertion in CuGaS2:Ti, used as a modulator agent in an intermediate-band photovoltaic material

An intermediate-bandphotovoltaicmaterial, which has an isolated metallic band located between the top of the valence band and bottom of the conduction band of some semiconductors, has been proposed as third generation solar cell to be used in photovoltaic applications. Density functional theory calculations of Zn in CuGaS2:Ti have previously shown that, the intermediate-band position can be modulated in proportion of Zn insertion in such a way that increasing Zn concentration can lead to aband-gap reduction, and an adjustment of the intermediate-band position. This could be interesting in the formation of an intermediate-bandmaterial, that has the maximum efficiency theoretically predicted for the intermediate-band solar cell. In this work, the energetics of several reaction schemes that could lead to the decomposition of the modulated intermediate-bandphotovoltaicmaterial, CuGaS2:Ti:Zn, is studied in order to assess the thermodynamic stability of this material. Calculations of the total free energy and disorder entropy have been taken into account, to get the reaction energy and free energy of the compound decomposition, which is found to be thermodynamically favorable

Research on intermediate band solar cells and development of experimental techniques for their characterization under concentrated illumination

Abstract This work is a contribution to the research and development of the intermediate band solar cell (IBSC), a high efficiency photovoltaic concept that features the advantages of both low and high bandgap solar cells. The resemblance with a low bandgap solar cell comes from the fact that the IBSC hosts an electronic energy band -the intermediate band (IB)- within the semiconductor bandgap. This IB allows the collection of sub-bandgap energy photons by means of two-step photon absorption processes, from the valence band (VB) to the IB and from there to the conduction band (CB). The exploitation of these low energy photons implies a more efficient use of the solar spectrum. The resemblance of the IBSC with a high bandgap solar cell is related to the preservation of the voltage: the open-circuit voltage (VOC) of an IBSC is not limited by any of the sub-bandgaps (involving the IB), but only by the fundamental bandgap (defined from the VB to the CB). Nevertheless, the presence of the IB allows new paths for electronic recombination and the performance of the IBSC is degraded at 1 sun operation conditions. A theoretical argument is presented regarding the need for the use of concentrated illumination in order to circumvent the degradation of the voltage derived from the increase in the recombi¬nation. This theory is supported by the experimental verification carried out with our novel characterization technique consisting of the acquisition of photogenerated current (IL)-VOC pairs under low temperature and concentrated light. Besides, at this stage of the IBSC research, several new IB materials are being engineered and our novel character¬ization tool can be very useful to provide feedback on their capability to perform as real IBSCs, verifying or disregarding the fulfillment of the “voltage preservation” principle. An analytical model has also been developed to assess the potential of quantum-dot (QD)-IBSCs. It is based on the calculation of band alignment of III-V alloyed heterojunc-tions, the estimation of the confined energy levels in a QD and the calculation of the de¬tailed balance efficiency. Several potentially useful QD materials have been identified, such as InAs/AlxGa1-xAs, InAs/GaxIn1-xP, InAs1-yNy/AlAsxSb1-x or InAs1-zNz/Alx[GayIn1-y]1-xP. Finally, a model for the analysis of the series resistance of a concentrator solar cell has also been developed to design and fabricate IBSCs adapted to 1,000 suns. Resumen Este trabajo contribuye a la investigación y al desarrollo de la célula solar de banda intermedia (IBSC), un concepto fotovoltaico de alta eficiencia que auna las ventajas de una célula solar de bajo y de alto gap. La IBSC se parece a una célula solar de bajo gap (o banda prohibida) en que la IBSC alberga una banda de energía -la banda intermedia (IB)-en el seno de la banda prohibida. Esta IB permite colectar fotones de energía inferior a la banda prohibida por medio de procesos de absorción de fotones en dos pasos, de la banda de valencia (VB) a la IB y de allí a la banda de conducción (CB). El aprovechamiento de estos fotones de baja energía conlleva un empleo más eficiente del espectro solar. La semejanza antre la IBSC y una célula solar de alto gap está relacionada con la preservación del voltaje: la tensión de circuito abierto (Vbc) de una IBSC no está limitada por ninguna de las fracciones en las que la IB divide a la banda prohibida, sino que está únicamente limitada por el ancho de banda fundamental del semiconductor (definido entre VB y CB). No obstante, la presencia de la IB posibilita nuevos caminos de recombinación electrónica, lo cual degrada el rendimiento de la IBSC a 1 sol. Este trabajo argumenta de forma teórica la necesidad de emplear luz concentrada para evitar compensar el aumento de la recom¬binación de la IBSC y evitar la degradación del voltage. Lo anterior se ha verificado experimentalmente por medio de nuestra novedosa técnica de caracterización consistente en la adquisicin de pares de corriente fotogenerada (IL)-VOG en concentración y a baja temperatura. En esta etapa de la investigación, se están desarrollando nuevos materiales de IB y nuestra herramienta de caracterizacin está siendo empleada para realimentar el proceso de fabricación, comprobando si los materiales tienen capacidad para operar como verdaderas IBSCs por medio de la verificación del principio de preservación del voltaje. También se ha desarrollado un modelo analítico para evaluar el potencial de IBSCs de puntos cuánticos. Dicho modelo está basado en el cálculo del alineamiento de bandas de energía en heterouniones de aleaciones de materiales III-V, en la estimación de la energía de los niveles confinados en un QD y en el cálculo de la eficiencia de balance detallado. Este modelo ha permitido identificar varios materiales de QDs potencialmente útiles como InAs/AlxGai_xAs, InAs/GaxIni_xP, InAsi_yNy/AlAsxSbi_x ó InAsi_zNz/Alx[GayIni_y]i_xP. Finalmente, también se ha desarrollado un modelado teórico para el análisis de la resistencia serie de una célula solar de concentración. Gracias a dicho modelo se han diseñado y fabricado IBSCs adaptadas a 1.000 soles.

Understanding experimental characterization of intermediate band solar cell

An intermediate band solar cell is a novel photovoltaic device with the potential to exceed the efficiency of single gap solar cells. In the last few years, several prototypes of these cells, based on different technologies, have been reported. Since these devices do not yet perform ideally, it is sometimes difficult to determine to what extent they operate as actual intermediate band solar cells. In this article we provide the essential guidelines to interpret conventional experimental results (current-voltage plots, quantum efficiency, etc.) associated with their characterization. A correct interpretation of these results is essential in order not to mislead the research efforts directed towards the improvement of the efficiency of these devices.

Guide to intermediate band solar cell research

The intermediate band solar cell (IBSC) is a solar cell that, in order to increase its efficiency over that of single gap solar cells, takes advantage of the absorption of below-bandgap energy photons by means of an intermediate band (IB) located in the semiconductor bandgap. For this process to improve the solar cell performance, the belowbandgap photon absorption has to be effective and the IB cannot limit the open-circuit voltage of the cell. In this paper we provide a guide to the new researcher interested in the idea in order he can quickly become familiar with the concept and updated with the most relevant experimental results.

Photon Management Structures for Absorption Enhancement in Intermediate Band Solar Cells and Crystalline Silicon Solar Cells

El objetivo de la tesis es investigar los beneficios que el atrapamiento de la luz mediante fenómenos difractivos puede suponer para las células solares de silicio cristalino y las de banda intermedia. Ambos tipos de células adolecen de una insuficiente absorción de fotones en alguna región del espectro solar. Las células solares de banda intermedia son teóricamente capaces de alcanzar eficiencias mucho mayores que los dispositivos convencionales (con una sola banda energética prohibida), pero los prototipos actuales se resienten de una absorción muy débil de los fotones con energías menores que la banda prohibida. Del mismo modo, las células solares de silicio cristalino absorben débilmente en el infrarrojo cercano debido al carácter indirecto de su banda prohibida. Se ha prestado mucha atención a este problema durante las últimas décadas, de modo que todas las células solares de silicio cristalino comerciales incorporan alguna forma de atrapamiento de luz. Por razones de economía, en la industria se persigue el uso de obleas cada vez más delgadas, con lo que el atrapamiento de la luz adquiere más importancia. Por tanto aumenta el interés en las estructuras difractivas, ya que podrían suponer una mejora sobre el estado del arte. Se comienza desarrollando un método de cálculo con el que simular células solares equipadas con redes de difracción. En este método, la red de difracción se analiza en el ámbito de la óptica física, mediante análisis riguroso con ondas acopladas (rigorous coupled wave analysis), y el sustrato de la célula solar, ópticamente grueso, se analiza en los términos de la óptica geométrica. El método se ha implementado en ordenador y se ha visto que es eficiente y da resultados en buen acuerdo con métodos diferentes descritos por otros autores. Utilizando el formalismo matricial así derivado, se calcula el límite teórico superior para el aumento de la absorción en células solares mediante el uso de redes de difracción. Este límite se compara con el llamado límite lambertiano del atrapamiento de la luz y con el límite absoluto en sustratos gruesos. Se encuentra que las redes biperiódicas (con geometría hexagonal o rectangular) pueden producir un atrapamiento mucho mejor que las redes uniperiódicas. El límite superior depende mucho del periodo de la red. Para periodos grandes, las redes son en teoría capaces de alcanzar el máximo atrapamiento, pero sólo si las eficiencias de difracción tienen una forma peculiar que parece inalcanzable con las herramientas actuales de diseño. Para periodos similares a la longitud de onda de la luz incidente, las redes de difracción pueden proporcionar atrapamiento por debajo del máximo teórico pero por encima del límite Lambertiano, sin imponer requisitos irrealizables a la forma de las eficiencias de difracción y en un margen de longitudes de onda razonablemente amplio. El método de cálculo desarrollado se usa también para diseñar y optimizar redes de difracción para el atrapamiento de la luz en células solares. La red propuesta consiste en un red hexagonal de pozos cilíndricos excavados en la cara posterior del sustrato absorbente de la célula solar. La red se encapsula en una capa dieléctrica y se cubre con un espejo posterior. Se simula esta estructura para una célula solar de silicio y para una de banda intermedia y puntos cuánticos. Numéricamente, se determinan los valores óptimos del periodo de la red y de la profundidad y las dimensiones laterales de los pozos para ambos tipos de células. Los valores se explican utilizando conceptos físicos sencillos, lo que nos permite extraer conclusiones generales que se pueden aplicar a células de otras tecnologías. Las texturas con redes de difracción se fabrican en sustratos de silicio cristalino mediante litografía por nanoimpresión y ataque con iones reactivos. De los cálculos precedentes, se conoce el periodo óptimo de la red que se toma como una constante de diseño. Los sustratos se procesan para obtener estructuras precursoras de células solares sobre las que se realizan medidas ópticas. Las medidas de reflexión en función de la longitud de onda confirman que las redes cuadradas biperiódicas consiguen mejor atrapamiento que las uniperiódicas. Las estructuras fabricadas se simulan con la herramienta de cálculo descrita en los párrafos precedentes y se obtiene un buen acuerdo entre la medida y los resultados de la simulación. Ésta revela que una fracción significativa de los fotones incidentes son absorbidos en el reflector posterior de aluminio, y por tanto desaprovechados, y que este efecto empeora por la rugosidad del espejo. Se desarrolla un método alternativo para crear la capa dieléctrica que consigue que el reflector se deposite sobre una superficie plana, encontrándose que en las muestras preparadas de esta manera la absorción parásita en el espejo es menor. La siguiente tarea descrita en la tesis es el estudio de la absorción de fotones en puntos cuánticos semiconductores. Con la aproximación de masa efectiva, se calculan los niveles de energía de los estados confinados en puntos cuánticos de InAs/GaAs. Se emplea un método de una y de cuatro bandas para el cálculo de la función de onda de electrones y huecos, respectivamente; en el último caso se utiliza un hamiltoniano empírico. La regla de oro de Fermi permite obtener la intensidad de las transiciones ópticas entre los estados confinados. Se investiga el efecto de las dimensiones del punto cuántico en los niveles de energía y la intensidad de las transiciones y se obtiene que, al disminuir la anchura del punto cuántico respecto a su valor en los prototipos actuales, se puede conseguir una transición más intensa entre el nivel intermedio fundamental y la banda de conducción. Tomando como datos de partida los niveles de energía y las intensidades de las transiciones calculados como se ha explicado, se desarrolla un modelo de equilibrio o balance detallado realista para células solares de puntos cuánticos. Con el modelo se calculan las diferentes corrientes debidas a transiciones ópticas entre los numerosos niveles intermedios y las bandas de conducción y de valencia bajo ciertas condiciones. Se distingue de modelos de equilibrio detallado previos, usados para calcular límites de eficiencia, en que se adoptan suposiciones realistas sobre la absorción de fotones para cada transición. Con este modelo se reproducen datos publicados de eficiencias cuánticas experimentales a diferentes temperaturas con un acuerdo muy bueno. Se muestra que el conocido fenómeno del escape térmico de los puntos cuánticos es de naturaleza fotónica; se debe a los fotones térmicos, que inducen transiciones entre los estados excitados que se encuentran escalonados en energía entre el estado intermedio fundamental y la banda de conducción. En el capítulo final, este modelo realista de equilibrio detallado se combina con el método de simulación de redes de difracción para predecir el efecto que tendría incorporar una red de difracción en una célula solar de banda intermedia y puntos cuánticos. Se ha de optimizar cuidadosamente el periodo de la red para equilibrar el aumento de las diferentes transiciones intermedias, que tienen lugar en serie. Debido a que la absorción en los puntos cuánticos es extremadamente débil, se deduce que el atrapamiento de la luz, por sí solo, no es suficiente para conseguir corrientes apreciables a partir de fotones con energía menor que la banda prohibida en las células con puntos cuánticos. Se requiere una combinación del atrapamiento de la luz con un incremento de la densidad de puntos cuánticos. En el límite radiativo y sin atrapamiento de la luz, se necesitaría que el número de puntos cuánticos de una célula solar se multiplicara por 1000 para superar la eficiencia de una célula de referencia con una sola banda prohibida. En cambio, una célula con red de difracción precisaría un incremento del número de puntos en un factor 10 a 100, dependiendo del nivel de la absorción parásita en el reflector posterior. Abstract The purpose of this thesis is to investigate the benefits that diffractive light trapping can offer to quantum dot intermediate band solar cells and crystalline silicon solar cells. Both solar cell technologies suffer from incomplete photon absorption in some part of the solar spectrum. Quantum dot intermediate band solar cells are theoretically capable of achieving much higher efficiencies than conventional single-gap devices. Present prototypes suffer from extremely weak absorption of subbandgap photons in the quantum dots. This problem has received little attention so far, yet it is a serious barrier to the technology approaching its theoretical efficiency limit. Crystalline silicon solar cells absorb weakly in the near infrared due to their indirect bandgap. This problem has received much attention over recent decades, and all commercial crystalline silicon solar cells employ some form of light trapping. With the industry moving toward thinner and thinner wafers, light trapping is becoming of greater importance and diffractive structures may offer an improvement over the state-of-the-art. We begin by constructing a computational method with which to simulate solar cells equipped with diffraction grating textures. The method employs a wave-optical treatment of the diffraction grating, via rigorous coupled wave analysis, with a geometric-optical treatment of the thick solar cell bulk. These are combined using a steady-state matrix formalism. The method has been implemented computationally, and is found to be efficient and to give results in good agreement with alternative methods from other authors. The theoretical upper limit to absorption enhancement in solar cells using diffractions gratings is calculated using the matrix formalism derived in the previous task. This limit is compared to the so-called Lambertian limit for light trapping with isotropic scatterers, and to the absolute upper limit to light trapping in bulk absorbers. It is found that bi-periodic gratings (square or hexagonal geometry) are capable of offering much better light trapping than uni-periodic line gratings. The upper limit depends strongly on the grating period. For large periods, diffraction gratings are theoretically able to offer light trapping at the absolute upper limit, but only if the scattering efficiencies have a particular form, which is deemed to be beyond present design capabilities. For periods similar to the incident wavelength, diffraction gratings can offer light trapping below the absolute limit but above the Lambertian limit without placing unrealistic demands on the exact form of the scattering efficiencies. This is possible for a reasonably broad wavelength range. The computational method is used to design and optimise diffraction gratings for light trapping in solar cells. The proposed diffraction grating consists of a hexagonal lattice of cylindrical wells etched into the rear of the bulk solar cell absorber. This is encapsulated in a dielectric buffer layer, and capped with a rear reflector. Simulations are made of this grating profile applied to a crystalline silicon solar cell and to a quantum dot intermediate band solar cell. The grating period, well depth, and lateral well dimensions are optimised numerically for both solar cell types. This yields the optimum parameters to be used in fabrication of grating equipped solar cells. The optimum parameters are explained using simple physical concepts, allowing us to make more general statements that can be applied to other solar cell technologies. Diffraction grating textures are fabricated on crystalline silicon substrates using nano-imprint lithography and reactive ion etching. The optimum grating period from the previous task has been used as a design parameter. The substrates have been processed into solar cell precursors for optical measurements. Reflection spectroscopy measurements confirm that bi-periodic square gratings offer better absorption enhancement than uni-periodic line gratings. The fabricated structures have been simulated with the previously developed computation tool, with good agreement between measurement and simulation results. The simulations reveal that a significant amount of the incident photons are absorbed parasitically in the rear reflector, and that this is exacerbated by the non-planarity of the rear reflector. An alternative method of depositing the dielectric buffer layer was developed, which leaves a planar surface onto which the reflector is deposited. It was found that samples prepared in this way suffered less from parasitic reflector absorption. The next task described in the thesis is the study of photon absorption in semiconductor quantum dots. The bound-state energy levels of in InAs/GaAs quantum dots is calculated using the effective mass approximation. A one- and four- band method is applied to the calculation of electron and hole wavefunctions respectively, with an empirical Hamiltonian being employed in the latter case. The strength of optical transitions between the bound states is calculated using the Fermi golden rule. The effect of the quantum dot dimensions on the energy levels and transition strengths is investigated. It is found that a strong direct transition between the ground intermediate state and the conduction band can be promoted by decreasing the quantum dot width from its value in present prototypes. This has the added benefit of reducing the ladder of excited states between the ground state and the conduction band, which may help to reduce thermal escape of electrons from quantum dots: an undesirable phenomenon from the point of view of the open circuit voltage of an intermediate band solar cell. A realistic detailed balance model is developed for quantum dot solar cells, which uses as input the energy levels and transition strengths calculated in the previous task. The model calculates the transition currents between the many intermediate levels and the valence and conduction bands under a given set of conditions. It is distinct from previous idealised detailed balance models, which are used to calculate limiting efficiencies, since it makes realistic assumptions about photon absorption by each transition. The model is used to reproduce published experimental quantum efficiency results at different temperatures, with quite good agreement. The much-studied phenomenon of thermal escape from quantum dots is found to be photonic; it is due to thermal photons, which induce transitions between the ladder of excited states between the ground intermediate state and the conduction band. In the final chapter, the realistic detailed balance model is combined with the diffraction grating simulation method to predict the effect of incorporating a diffraction grating into a quantum dot intermediate band solar cell. Careful optimisation of the grating period is made to balance the enhancement given to the different intermediate transitions, which occur in series. Due to the extremely weak absorption in the quantum dots, it is found that light trapping alone is not sufficient to achieve high subbandgap currents in quantum dot solar cells. Instead, a combination of light trapping and increased quantum dot density is required. Within the radiative limit, a quantum dot solar cell with no light trapping requires a 1000 fold increase in the number of quantum dots to supersede the efficiency of a single-gap reference cell. A quantum dot solar cell equipped with a diffraction grating requires between a 10 and 100 fold increase in the number of quantum dots, depending on the level of parasitic absorption in the rear reflector.

Electrochemical potentials (Quasi-Fermi Levels) and the operation of hot-carrier, impact-ionization, and intermediate-band solar cells

In the framework of the so-called third generation solar cells, three main concepts have been proposed in order to exceed the limiting efficiency of single-gap solar cells: the hot-carrier solar cell, the impact-ionization or multiple-exciton-generation solar cell, and the intermediate-band solar cell. At first sight, the three concepts are different, but in this paper, we illustrate how all these concepts, including the single-gap solar cell, share a common trunk that we call "core photovoltaic material." We demonstrate that each one of these next-generation concepts differentiates in fact from this trunk depending on the hypotheses that are made about the physical principles governing the electron electrochemical potentials. In the process, we also clarify the differences between electron, phonon, and photon chemical potentials (the three fundamental particles involved in the operation of the solar cell). The in-depth discussion of the physics involved about the operation of these cells also provides new insights about the operation of these cells.

The feasibility of high-efficiency InAs/GaAs quantum dot intermediate band solar cells

In recent years, all the operating principles of intermediate band behaviour have been demonstrated in InAs/GaAs quantum dot (QD) solar cells. Having passed this hurdle, a new stage of research is underway, whose goal is to deliver QD solar cells with efficiencies above those of state-of-the-art single-gap devices. In this work, we demonstrate that this is possible, using the present InAs/GaAs QD system, if the QDs are made to be radiatively dominated, and if absorption enhancements are achieved by a combination of increasing the number of QDs and light trapping. A quantitative prediction is also made of the absorption enhancements required, suggesting that a 30 fold increase in the number of QDs and a light trapping enhancement of 10 are sufficient. Finally, insight is given into the relative merits of absorption enhancement via increasing QD numbers and via light trapping.

Two-photon photocurrent and voltage up-conversion in a quantum dot intermediate band solar cell

It has been proposed that the use of self-assembled quantum dot (QD) arrays can break the Shockley-Queisser efficiency limit by extending the absorption of solar cells into the low-energy photon range while preserving their output voltage. This would be possible if the infrared photons are absorbed in the two sub-bandgap QD transitions simultaneously and the energy of two photons is added up to produce one single electron-hole pair, as described by the intermediate band model. Here, we present an InAs/Al 0.25Ga 0.75As QD solar cell that exhibits such electrical up-conversion of low-energy photons. When the device is monochromatically illuminated with 1.32 eV photons, open-circuit voltages as high as 1.58 V are measured (for a total gap of 1.8 eV). Moreover, the photocurrent produced by illumination with photons exciting the valence band to intermediate band (VB-IB) and the intermediate band to conduction band (IB-CB) transitions can be both spectrally resolved. The first corresponds to the QD inter-band transition and is observable for photons of energy mayor que 1 eV, and the later corresponds to the QD intra-band transition and peaks around 0.5 eV. The voltage up-conversion process reported here for the first time is the key to the use of the low-energy end of the solar spectrum to increase the conversion efficiency, and not only the photocurrent, of single-junction photovoltaic devices. In spite of the low absorption threshold measured in our devices - 0.25 eV - we report open-circuit voltages at room temperature as high as 1.12 V under concentrated broadband illumination.