Investigation of numerical atomic orbitals for first-principles calculations of the electronic and transport properties of silicon nanowire structures

This thesis is focused on the application of numerical atomic basis sets in studies of the structural, electronic and transport properties of silicon nanowire structures from first-principles within the framework of Density Functional Theory. First we critically examine the applied methodology and then offer predictions regarding the transport properties and realisation of silicon nanowire devices. The performance of numerical atomic orbitals is benchmarked against calculations performed with plane waves basis sets. After establishing the convergence of total energy and electronic structure calculations with increasing basis size we have shown that their quality greatly improves with the optimisation of the contraction for a fixed basis size. The double zeta polarised basis offers a reasonable approximation to study structural and electronic properties and transferability exists between various nanowire structures. This is most important to reduce the computational cost. The impact of basis sets on transport properties in silicon nanowires with oxygen and dopant impurities have also been studied. It is found that whilst transmission features quantitatively converge with increasing contraction there is a weaker dependence on basis set for the mean free path; the double zeta polarised basis offers a good compromise whereas the single zeta basis set yields qualitatively reasonable results. Studying the transport properties of nanowire-based transistor setups with p+-n-p+ and p+-i-p+ doping profiles it is shown that charge self-consistency affects the I-V characteristics more significantly than the basis set choice. It is predicted that such ultrascaled (3 nm length) transistors would show degraded performance due to relatively high source-drain tunnelling currents. Finally, it is shown the hole mobility of Si nanowires nominally doped with boron decreases monotonically with decreasing width at fixed doping density and increasing dopant concentration. Significant mobility variations are identified which can explain experimental observations.

Formation and electrical interfacing of nanocrystal-molecule nanostructures

The objective of this thesis work is to develop methods for forming and interfacing nanocrystal-molecule nanostructures in order to explore their electrical transport properties in various controlled environments. This work demonstrates the potential of nanocrystal assemblies for laterally contacting molecules for electronic transport measurements. We first propose a phenomenological model based on rate equations for the formation of hybrid nanocrystal-molecule (respectively: 20 nm – 1.2 nm) nanostructures in solution. We then concentrate on nanocrystals (~ 60 nm) assembled between nano-gaps (~ 40 nm) as a contacting strategy for the measurement of electronic transport properties of thiophene-terminated conjugated molecules (1.5 nm long) in a two-terminal configuration, under vacuum conditions. Similar devices were also probed with a three-terminal configuration using thiophene-terminated oxidation-reduction active molecules (1.8 nm long) in liquid medium for the demonstration of the electrolytic gating technique. The experimental and modelling work presented in this thesis project brings into light physical and chemical processes taking place at the extremely narrow (~1 nm separation) and curved interface between two nanocrystals or one nanocrystal and a grain of a metallic electrode. The formation of molecular bridges at this kind of interface necessitates molecules to diffuse from a large liquid reservoir into the region in the first place. Molecular bonding must occur to the surface for both molecular ends: this is a low yield statistical process in itself as it depends on orientation of surfaces, on steric hindrance at the surface and on binding energies. On the other hand, the experimental work also touched the importance of the competition between potentially immiscible liquids in systems such that (organo-)metallic molecules solvated by organic solvent in water and organic solvent in contact with hydrated citrate stabilised nanocrystals dispersed in solutions or assembled between electrodes from both experimental and simulations point of view.

Computational modeling of defects in nanoscale device materials

This PhD thesis concerns the computational modeling of the electronic and atomic structure of point defects in technologically relevant materials. Identifying the atomistic origin of defects observed in the electrical characteristics of electronic devices has been a long-term goal of first-principles methods. First principles simulations are performed in this thesis, consisting of density functional theory (DFT) supplemented with many body perturbation theory (MBPT) methods, of native defects in bulk and slab models of In0.53Ga0.47As. The latter consist of (100) - oriented surfaces passivated with A12O3. Our results indicate that the experimentally extracted midgap interface state density (Dit) peaks are not the result of defects directly at the semiconductor/oxide interface, but originate from defects in a more bulk-like chemical environment. This conclusion is reached by considering the energy of charge transition levels for defects at the interface as a function of distance from the oxide. Our work provides insight into the types of defects responsible for the observed departure from ideal electrical behaviour in III-V metal-oxidesemiconductor (MOS) capacitors. In addition, the formation energetics and electron scattering properties of point defects in carbon nanotubes (CNTs) are studied using DFT in conjunction with Green’s function based techniques. The latter are applied to evaluate the low-temperature, low-bias Landauer conductance spectrum from which mesoscopic transport properties such as the elastic mean free path and localization length of technologically relevant CNT sizes can be estimated from computationally tractable CNT models. Our calculations show that at CNT diameters pertinent to interconnect applications, the 555777 divacancy defect results in increased scattering and hence higher electrical resistance for electron transport near the Fermi level.

Fingerprints of a size-dependent crossover in the dimensionality of electronic conduction in Au-seeded Ge nanowires

We studied the electrical transport properties of Au-seeded germanium nanowires with radii ranging from 11 to 80 nm at ambient conditions. We found a non-trivial dependence of the electrical conductivity, mobility and carrier density on the radius size. In particular, two regimes were identified for large (lightly doped) and small (stronger doped) nanowires in which the charge-carrier drift is dominated by electron-phonon and ionized-impurity scattering, respectively. This goes in hand with the finding that the electrostatic properties for radii below ca. 37 nm have quasi one-dimensional character as reflected by the extracted screening lengths.

Properties of molecules in tunnel junctions

Molecular tunnel junctions involve studying the behaviour of a single molecule sandwiched between metal leads. When a molecule makes contact with electrodes, it becomes open to the environment which can heavily influence its properties, such as electronegativity and electron transport. While the most common computational approaches remain to be single particle approximations, in this thesis it is shown that a more explicit treatment of electron interactions can be required. By studying an open atomic chain junction, it is found that including electron correlations corrects the strong lead-molecule interaction seen by the ΔSCF approximation, and has an impact on junction I − V properties. The need for an accurate description of electronegativity is highlighted by studying a correlated model of hexatriene-di-thiol with a systematically varied correlation parameter and comparing the results to various electronic structure treatments. The results indicating an overestimation of the band gap and underestimation of charge transfer in the Hartree-Fock regime is equivalent to not treating electron-electron correlations. While in the opposite limit, over-compensating for electron-electron interaction leads to underestimated band gap and too high an electron current as seen in DFT/LDA treatment. It is emphasised in this thesis that correcting electronegativity is equivalent to maximising the overlap of the approximate density matrix to the exact reduced density matrix found at the exact many-body solution. In this work, the complex absorbing potential (CAP) formalism which allows for the inclusion metal electrodes into explicit wavefunction many-body formalisms is further developed. The CAP methodology is applied to study the electron state lifetimes and shifts as the junction is made open.

Dilute nitride semiconductors : band structure, scattering and high field transport

The substitution of a small fraction x of nitrogen atoms, for the group V elements in conventional III-V semiconductors such as GaAs and GaSb strongly perturbs the conduction band of the host semiconductor. In this thesis we investigate the effects of nitrogen states on the band dispersion, carrier scattering and mobility of dilute nitride alloys. In the supercell model we solve the single particle Hamiltonian for a very large supercell containing randomly placed nitrogen. This model predicts a gap in the density of states of GaNxAs1−x, where this gap is filled in the Green’s function model. Therefore we develop a self-consistent Green’s function (SCGF) approach, which provides excellent agreement with supercell calculations and reveals a gap in the DOS, in contrast with the results of previous non-self-consistent Green’s function calculations. However, including the distribution of N states destroys this gap, as seen in experiment. We then examine the high field transport of carriers by solving the steadystate Boltzmann transport equation and find that it is necessary to include the full distribution of N levels in order to account for the small, low-field mobility and the absence of a negative differential velocity regime observed experimentally with increasing x. Overall the results account well for a wide range of experimental data. We also investigate the band structure, scattering and mobility of carriers by finding the poles of the SCGF, which gives lower carrier mobility for GaNxAs1−x, compared to those already calculated, in better agreement with experiments. The calculated optical absorption spectra for InyGa1−yNxAs1−x and GaNxSb1−x using the SCGF agree well with the experimental data, confirming the validity of this approach to study the band structure of these materials.

Investigating the invasive and cytoprotective properties of the heme binding protein HRG-1 in cancer cells

This thesis investigates the mechanisms by which HRG-1 contributes to the invasive and cytoprotective signalling pathways in cancer cells through its effects on VATPase activity and heme transport. Plasma membrane-localised V-ATPase activity correlates with enhanced metastatic potential in cancer cells, which is attributed to extrusion of protons into the extracellular space and activation of pH-sensitive, extracellular matrix degrading-proteases. We found that HRG-1 is co-expressed with the V-ATPase at the plasma membrane of certain aggressive cancer cell types. Modulation of HRG-1 expression altered both the localisation and activity of the VATPase. We also found that HRG-1 enhances trafficking of essential transporters such as the glucose transporter (GLUT-1) in cancer cells, and increases glucose uptake, which is required for cancer cell growth, metabolism and V-ATPase assembly. Heme is potentially cytotoxic, owing to its iron moiety, and therefore the trafficking of heme is tightly controlled in cells. We hypothesised that HRG-1 is required for the transport of heme to intracellular compartments. Importantly, we found that HRG-1 interacts with the heme oxygenases that are necessary for heme catabolism. HRG-1 is also required for trafficking of both heme-bound and nonheme-bound receptors and suppression of HRG-1 results in perturbed receptor trafficking to the lysosome. Suppression of HRG-1 in HeLa cells increases toxic heme accumulation, reactive oxygen species accumulation, and DNA damage resulting in caspasedependent cell death. Mutation of essential heme binding residues in HRG-1 results in decreased heme binding to HRG-1. Interestingly, cells expressing heme-binding HRG-1 mutants exhibit decreased internalisation of the transferrin receptor compared to cells expressing wildtype HRG-1. These findings suggest that HRG- 1/heme trafficking contributes to a hitherto unappreciated aspect of receptormediated endocytosis. Overall, the findings of this thesis show that HRG-1-mediated regulation of intracellular and extracellular pH through V-ATPase activity is essential for a functioning endocytic pathway. This is critical for cells to acquire nutrients such as folate, iron and glucose and to mediate signalling in response to growth factor activation. Thus, HRG-1 facilitates enhanced metabolic activity of cancer cells to enable tumour growth and metastasis.