The calcite(10-14) surface: a versatile substrate for molecular self-assembly

This thesis presents a detailed and successful study of molecular self-assembly on the calcite CaCO3(10-14) surface. One reason for the superior applicability of this particular surface is given by reflecting the well-known growth modes. Layer-by-layer growth, which is a necessity for the formation of templated two-dimensional (2D) molecular structures, is particularly favoured on substrates with a high surface energy. The CaCO3(10-14) surface is among those substrates and, thus, most promising. rnrnAll experiments in this thesis were performed using the non-contact atomic force microscope (NC-AFM) under ultra-high vacuum conditions. The acquisition of drift-free data became in this thesis possible owing to the herein newly developed atom-tracking system. This system features a lateral tip-positioning precision of at least 50pm. Furthermore, a newly developed scan protocol was implemented in this system, which allows for the acquisition of dense three-dimensional (3D) data under room-temperature conditions. An entire 3D data set from a CaCO3(10-14) surface consisting of 85x85x500 pixel is discussed. rnrnThe row-pairing and (2x1) reconstructions of the CaCO3(10-14) surface constitute most interesting research subjects. For both reconstructions, the NC-AFM imaging was classified to a total of 12 contrast modes. Eight of these modes were observed within this thesis, some of them for the first time. Together with literature findings, a total of 10 modes has been observed experimentally to this day. Some contrast modes presented themselves as highly distance-dependent and at least for one contrast mode, a severe tip-termination influence was found. rnrnMost interestingly, the row-pairing reconstruction was found to break a symmetry element of the CaCO3(10-14) surface. With the presence of this reconstruction, the calcite (10-14) surface becomes chiral. From high-resolution NC-AFM data, the identification of the enantiomers is here possible and is presented for one enantiomer in this thesis. rnrnFive studies of self-assembled molecular structures on calcite (10-14) surfaces are presented. Only for one system, namely HBC/CaCO3(10-14), the formation of a molecular bulk structure was observed. This well-known occurence of weak molecule-insulator interaction hinders the investigation of two-dimensional molecular self-assembly. It was, however, possible to force the formation of an island phase for this system upon following a variable-temperature preparation. rnFor the C60/CaCO3(10-14) system it is most notably that no branched island morphologies were found. Instead, the first C60 layer appeared to wet the calcite surface. rnrnIn all studies, the molecules arranged themselves in ordered superstructures. A templating effect due to the underlying calcite substrate was evident for all systems. This templating strikingly led either to the formation of large commensurate superstructures, such as (2x15) with a 14 molecule basis for the C60/CaCO3(10-14) system, or prevented the vast growth of incommensurate molecular motifs, such as the chicken-wire structure in the trimesic acid (TMA)/CaCO3(10-14) system. rnrnThe molecule-molecule and the molecule-substrate interaction was increased upon choosing molecules with carboxylic acid moieties in the third, fourth and fifth study, using terephthalic acid, TMA and helicene molecules. In all these experiments, hydrogen-bonded assemblies were created. rnrnDirected hydrogen bond formation combined with intermolecular pi-pi interaction is employed in the fifth study, where the formation of uni-directional molecular "wires" from single helicene molecules succeeded. Each "wire" is composed of heterochiral helicene pairs, well-aligned along the [01-10] substrate direction and stabilised by pi-pi interaction.

Interacting bosons and fermions in three-dimensional optical lattice potentials

This thesis reports on the realization, characterization and analysis of ultracold bosonic and fermionic atoms in three-dimensional optical lattice potentials. Ultracold quantum gases in optical lattices can be regarded as ideal model systems to investigate quantum many-body physics. In this work interacting ensembles of bosonic 87Rb and fermionic 40K atoms are employed to study equilibrium phases and nonequilibrium dynamics. The investigations are enabled by a versatile experimental setup, whose core feature is a blue-detuned optical lattice that is combined with Feshbach resonances and a red-detuned dipole trap to allow for independent control of tunneling, interactions and external confinement. The Fermi-Hubbard model, which plays a central role in the theoretical description of strongly correlated electrons, is experimentally realized by loading interacting fermionic spin mixtures into the optical lattice. Using phase-contrast imaging the in-situ size of the atomic density distribution is measured, which allows to extract the global compressibility of the many-body state as a function of interaction and external confinement. Thereby, metallic and insulating phases are clearly identified. At strongly repulsive interaction, a vanishing compressibility and suppression of doubly occupied lattice sites signal the emergence of a fermionic Mott insulator. In a second series of experiments interaction effects in bosonic lattice quantum gases are analyzed. Typically, interactions between microscopic particles are described as two-body interactions. As such they are also contained in the single-band Bose-Hubbard model. However, our measurements demonstrate the presence of multi-body interactions that effectively emerge via virtual transitions of atoms to higher lattice bands. These findings are enabled by the development of a novel atom optical measurement technique: In quantum phase revival spectroscopy periodic collapse and revival dynamics of the bosonic matter wave field are induced. The frequencies of the dynamics are directly related to the on-site interaction energies of atomic Fock states and can be read out with high precision. The third part of this work deals with mixtures of bosons and fermions in optical lattices, in which the interspecies interactions are accurately controlled by means of a Feshbach resonance. Studies of the equilibrium phases show that the bosonic superfluid to Mott insulator transition is shifted towards lower lattice depths when bosons and fermions interact attractively. This observation is further analyzed by applying quantum phase revival spectroscopy to few-body systems consisting of a single fermion and a coherent bosonic field on individual lattice sites. In addition to the direct measurement of Bose-Fermi interaction energies, Bose-Bose interactions are proven to be modified by the presence of a fermion. This renormalization of bosonic interaction energies can explain the shift of the Mott insulator transition. The experiments of this thesis lay important foundations for future studies of quantum magnetism with fermionic spin mixtures as well as for the realization of complex quantum phases with Bose-Fermi mixtures. They furthermore point towards physics that reaches beyond the single-band Hubbard model.

On-surface chemical reactions on an insulating substrate

Diese Arbeit beschreibt zum ersten Mal die kovalente Verknüpfung organischer Moleküle auf einer Isolatoroberfläche, motiviert im Hinblick auf die Nutzung der Synthesemethode für die molekulare Elektronik und verwandte Anwendungen. Durch die Verwendung der Nichtkontakt-Rasterkraftmikroskopie und der Kelvinprobe-Mikroskopie bei Raumtemperatur wurden grundlegende molekulare Prozesse der Wechselwirkungen zwischen Molekülen und der Calcit(10.4) Oberfläche sowie die chemische Reaktivität der Moleküle auf der Oberfläche analysiert. Das Zusammenspiel zwischen intermolekularen und Molekül-Oberfläche Wechselwirkungen zeigt sich für Biphenyl-4,4'-dicarbonsäure (BPDCA) durch die Koexistenz zweier unterschiedlicher molekularer Strukturen, die einen Einblick in die treibenden Kräfte der molekularen Selbstorganisation bieten. Die sehr ausgeprägte Reihenstruktur basiert auf der optimalen geometrischen Struktur der BPDCA Moleküle zu den Abmessungen des Substrats, während die zweite Struktur durch Wasserstoffbrücken zwischen den Molekülen gekennzeichnet ist. Der Deprotonierungsvorgang von 2,5-Dihydroxybenzoesäure (DHBA)-Molekülen auf Calcit wird bei Zimmertemperatur gezeigt. Zwei Phasen werden beobachtet, die nach Aufbringen der Moleküle koexistieren. Mit der Zeit geht eine bulk-ähnliche Phase in eine stabile, dicht gepackte Phase über. Der Übergang wird durch Betrachtung des Protonierungszustands der Moleküle erklärt. Die bulk-ähnliche Phase benötigt Wasserstoffbrückbindungen zur Strukturbildung. Werden die Moleküle deprotoniert, so wird die resultierende dicht gepackte Phase durch die elektrostatische Wechselwirkung der deprotonierten Carboxylatgruppen mit den Oberflächen-Calciumkationen stabilisiert. 4-Iodbenzoesäure (IBA)-Moleküle bilden auf Calcit nur Inseln an Stufenkanten, was auf die schwache Molekül-Oberflächen-Wechselwirkung zurückzuführen ist. Für einen stärkeren Einfluss des Substrats durchlaufen die Moleküle einen kontrollierten Übergangsschritt vom protonierten zum deprotonierten Zustand. Im deprotonierten Zustand nehmen die Moleküle eine wohldefinierte Adsorptionsposition auf dem Substrat ein. Die deprotonierte Säuregruppe wird ausgenutzt, um die Desorption der halogensubstituierten Benzoesäure-Moleküle bei der thermischer Aktivierung für die Vernetzungsreaktion zu vermeiden. Darüber hinaus wird die Carboxylatgruppe als starker Elektronendonor verwendet um die Phenyl-Halogen-Bindung zu schwächen und somit die homolytische Spaltung dieser Bindung auch bei moderaten Temperaturen zu ermöglichen. Diesem Konzept folgend ist die erste erfolgreiche kovalente Verknüpfung von 2,5-Diiod-benzoesäure, 2,5-Dichlorbenzoesäure, 3,5-Diiod Salicylsäure und 4-Iod-benzoesäure zu durchkonjugierten molekularen Drähten, Zick-Zack-Strukturen sowie Dimere gezeigt durch Ausnutzen von unterschiedlichen Substitutionsposition sowie Ändern der Anzahl der substituierten Halogenatome. Aufbauend auf diesem Erfolg, wird eine zweistufige Vernetzungsreaktion vorgestellt. Zum Induzieren der ortsspezifischen und sequentiellen kovalenten Verknüpfung wird ein Ausgangsmolekül gewählt, das sowohl eine Bromphenyl als auch eine Chlorphenyl Gruppe mit unterschiedlichen Dissoziationsenergien für die homolytische Spaltung besitzt. Die Reaktionsstellen und sequentielle Reihenfolge für die Reaktion sind somit in der molekularen Struktur einkodiert und bisher unerreichte Reaktionspfade können mithilfe der kovalente Verknüpfung organischer Moleküle auf einer Isolatoroberfläche beschritten werden.

Systematic functionalization of molecules for molecular self-assembly

This thesis describes the investigation of systematically varied organic molecules for use in molecular self-assembly processes. All experiments were performed using high-resolution non-contact atomic force microscopy under UHV conditions and at room temperature. Using this technique, three different approaches for influencing intermolecular and molecule-surface interaction on the insulating calcite(10.4) surface were investigated by imaging the structure formation at the molecular scale. I first demonstrated the functionalization of shape-persistent oligo(p-benzamide)s that was engineered by introducing different functional groups and investigating their effect on the structural formation on the sample surface. The molecular core was designed to provide significant electrostatic anchoring towards the surface, while at the same time maintaining the flexibility to fine-tune the resulting structure by adjusting the intermolecular cohesion energy. The success of this strategy is based on a clear separation of the molecule-substrate interaction from the molecule-molecule interaction. My results show that sufficient molecule-surface anchoring can be achieved without restricting the structural flexibility that is needed for the design of complex molecular systems. Three derivatives of terephthalic acid (TPA) were investigated in chapter 7. Here, the focus was on changing the adhesion to the calcite surface by introducing different anchor functionalities to the TPA backbone. For all observed molecules, the strong substrate templating effect results in molecular structures that are strictly oriented along the calcite main crystal directions. This templating is especially pronounced in the case of 2-ATPA where chain formation on the calcite surface is observed in contrast to the formation of molecular layers in the bulk. At the same time, the amino group of 2-ATPA proved an efficient anchor functionality, successfully stabilizing the molecular chains on the sample surface. These findings emphasizes, once again, the importance of balancing and fine-tuning molecule-molecule and molecule-surface interactions in order to achieve stable, yet structurally flexible molecular arrangements on the sample surface. In the last chapter, I showed how the intrinsic property of molecular chirality decisively influences the structure formation in molecular self-assembly. This effect is especially pronounced in the case of the chiral heptahelicene-2-carboxylic acid. Deposition of the enantiopure molecules results in the formation of homochiral islands on the sample surface which is in sharp contrast to the formation of uni-directional double rows upon deposition of the racemate onto the same surface. While it remained uncertain from these previous experiments whether the double rows are composed of hetero- or homochiral molecules, I could clearly answer that question here and demonstrate that the rows are of heterochiral origin. Chirality, thus, proves to be another important parameter to steer the intermolecular interaction on surfaces. Altogether, the results of this thesis demonstrate that, in order to successfully control the structure formation in molecular self-assembly, the correct combination of molecule and surface properties is crucial. This is of special importance when working on substrates that exhibit a strong influence on the structure formation, such as the calcite(10.4) surface. Through the systematic variation of functional groups several important parameters that influence the balance between molecule-surface and molecule-molecule interaction were identified here, and the results of this thesis can, thus, act as a guideline for the rational design of molecules for use in molecular self-assembly.

Proprietà optoelettroniche di film nanoporosi ottenuti per impiantazione ionica.

In questo elaborato vengono studiate le proprietà optoelettroniche di film sottili di germanio nanoporosi ottenuti per impiantazione ionica. Viene trattata la tecnica sperimentale della Surface Photovoltage Spectroscopy nella configurazione Metal-Insulator-Semiconductor. Viene osservato che la presenza di struttura nanoporosa provoca due effetti: il primo è l’innalzamento del bandgap energetico dovuta al confinamento quantistico degli elettroni all’interno dei pori; il secondo è l’incremento del segnale SPV per quei film in cui è maggiore il rapporto tra superficie e volume.

Stabilizing molecular self-assemblies via on-surface reactions

Für die Realisierung zukünftiger Technologien, wie z.B. molekulare Elektronik, werden Strategien benötigt, um funktionale Strukturen direkt auf Oberflächen zu erzeugen. Für die Bewältigung dieser Aufgabe ist die molekulare Selbstanordnung ein äußerst vielversprechender Bottom-up-Ansatz. Hierbei ist eine der größten Herausforderungen das Zusammenspiel aus intramolekularer Wechselwirkung und der Wechselwirkung zwischen Substrat und Molekülen in ein Gleichgewicht zu bringen. Da jedoch die wirkenden Kräfte der molekularen Selbstanordnung ausschließlich reversibler Natur sind, ist eine langfristige Stabilität fragwürdig. Somit ist die kovalente Verknüpfung der gebildeten Strukturen durch Reaktionen direkt auf der Oberfläche unerlässlich, um die Stabilität der Strukturen weiter zu erhöhen. Hierzu stellt die vorliegende Arbeit eine ausführliche Studie zu molekularer Selbstanordnung und der zielgerichteten Modifikation ebensolcher Strukturen dar. Durch den Einsatz von hochauflösender Rasterkraftmikroskopie im Ultrahochvakuum, welche es erlaubt einzelne Moleküle auf Nichtleitern abzubilden, wurde der maßgebliche Einfluss von Ankerfunktionalitäten auf den Prozess der molekularen Selbstanordnung gezeigt. Des Weiteren konnte die Stabilität der selbst angeordneten Strukturen durch neue Oberflächenreaktionskonzepte entschieden verbessert werden. Der Einfluss von Ankerfunktionen, die elektrostatische Wechselwirkung zwischen Molekül und Substrat vermitteln, auf den Strukturbildungsprozess der molekularen Selbstanordnung wird eingehend durch den Vergleich eines aromatischen Moleküls und seines vierfach chlorierten Derivates gezeigt. Für diese beiden Moleküle wurde ein deutlich unterschiedliches Verhalten der Selbstanordnung beobachtet. Es wird gezeigt, dass die Fähigkeit zur Bildung selbst angeordneter, stabiler Inseln entscheidend durch die Substituenten und die Abmessungen des Moleküls beeinflusst wird. Auch wird in dieser Arbeit die erste photochemische Reaktion organischer Moleküle auf einem Isolator gezeigt. Qualitative und quantitative Ergebnisse liefern ein detailliertes Bild darüber, wie die Abmessungen des Substratgitters die Richtung der Reaktion gezielt beeinflussen. Des Weiteren wird ein allgemeines Konzept zur selektiven Stabilisierung selbstangeordneter Molekülstrukturen durch den kontrollierten Transfer von Elektronen präsentiert. Durch die gezielte Steuerung der Menge an Dotierungsatomen wird die Desorptionstemperatur der molekularen Inseln signifikant erhöht und das Desorptionsverhalten der Inseln entschieden verändert. Diese Arbeit präsentiert somit erfolgreich durchgeführte Strategien um den Prozess der molekularen Selbstanordnung zu steuern, sowie entscheidende Mechanismen um die Stabilisierung und Modifizierung von selbst angeordneten Strukturen zu gewährleisten.

Correlation between alveolar ventilation and electrical properties of lung parenchyma.

One key problem in modern medical imaging is linking measured data and actual physiological quantities. In this article we derive such a link between the electrical bioimpedance of lung parenchyma, which can be measured by electrical impedance tomography (EIT), and the magnitude of regional ventilation, a key to understanding lung mechanics and developing novel protective ventilation strategies. Two rat-derived three-dimensional alveolar microstructures obtained from synchrotron-based x-ray tomography are each exposed to a constant potential difference for different states of ventilation in a finite element simulation. While the alveolar wall volume remains constant during stretch, the enclosed air volume varies, similar to the lung volume during ventilation. The enclosed air, serving as insulator in the alveolar ensemble, determines the resulting current and accordingly local tissue bioimpedance. From this we can derive a relationship between lung tissue bioimpedance and regional alveolar ventilation. The derived relationship shows a linear dependence between air content and tissue impedance and matches clinical data determined from a ventilated patient at the bedside.

Characterization of HFO2 Capacitors

Hafnium oxide (HfOn) is a promising dielectric for future microelectronic applications. Hf02 thin films (10-75nm) were deposited on Pt/Si02/Si substrates by pulsed DC magnetron reactive sputtering. Top electrodes of Pt were formed by e-beam evapo- ration through an aperture mask on the samples to create MIM (Metal-Insulator-Metal) capacitors. Various processing conditions (Arloz ratio, DC power and deposition rate) and post-deposition annealing conditions (time and temperature) were investigated. The structure of the Hf02 films was characterized by X-ray diffraction (XRD) and the roughness was measured by a profilometer. The electrical properties were characterized in terms of their relative permittivity (E,(T) and ~,.(f)) and leakage behavior (I-V, I-T and I- time). The electrical measurements were performed over a temperature range from -5 to 200°C. For the samples with best experimental results, the relative permittivity of HfOa was found to be -- 27 after anneal and increased by 0.027%/"C with increasing temperature over the measured temperature range. At 25"C, leakage current density was below lop8 ~ l c m ' at 1 volt. The leakage current increased with temperature above a specific threshold temperature below which the leakage current didn't change much. The leakage current increased with voltage. At voltages below lvolt, it's ohmic; at higher voltages, it follows Schottky model. The breakdown field is - 1 . 8 2 ~ lo6 Vlcm. The optical bandgap was measured with samples deposited on quartz substrates to be 5.4eV after anneal.

The effect of DNA methylation in carcinogenesis

CpG island methylation within single gene promoters can silence expression of associated genes. We first extended these studies to bidirectional gene pairs controlled by single promoters. We showed that hypermethylation of bidirectional promoter-associated CpG island silences gene pairs (WNT9A/CD558500, CTDSPL/BC040563, and KCNK15/BF 195580) simultaneously. Hypomethylation of these promoters by 5-aza-2'-deoxycytidine treatment reactivated or enhanced gene expression bidirectionally. These results were further confirmed by luciferase assays. Methylation of WNT9A/CD558500 and CTDSPL/BC040563 promoters occurs frequently in primary colon cancers and acute lymphoid leukemia, respectively. ^ Next we sought to understand the origins of hypermethylation in cancer. CpG islands associated with tumor suppressor genes are normally free from methylation, but can be hypermethylated in cancer. It remains poorly understood how these genes are protected from methylation in normal tissues. In our studies, we aimed to determine if cis-acting elements in these genes are responsible for this protection, using the tumor suppressor gene p16 as a model. We found that Alu repeats located both upstream and downstream of the p16 promoter become hypermethylated with age. In colon cancer samples, the methylation level is particularly high, and the promoter can also be affected. Therefore, the protection in the promoter against methylation spreading could fail during tumorigenesis. This methylation pattern in p16 was also observed in cell lines of different tissue origins, and their methylation levels were found to be inversely correlated with that of active histone modification markers (H3K4-3me and H3K9-Ac). To identify the mechanism of protection against methylation spreading, we constructed serial deletions of the p16 protected region and used silencing of a neomycin reporter gene to evaluate the protective effects of these fragments. A 126 bp element was identified within the region which exerts bidirectional protection against DNA methylation, independently of its transcriptional activity. The protective strength of this element is comparable to that of the HS4 insulator. During long-term culture, the presence of this element significantly slowed methylation spreading. In conclusion, we have found that an element located in the p16 promoter is responsible for protection against DNA methylation spreading in normal tissues. The failure of protective cis-elements may be a general feature of tumor-suppressor gene silencing during tumorigenesis. ^

Sub-bandgap spectral photo-response analysis of Ti supersaturated Si

We have analyzed the increase of the sheet conductance (ΔG□) under spectral illumination in high dose Ti implanted Si samples subsequently processed by pulsed-laser melting. Samples with Ti concentration clearly above the insulator-metal transition limit show a remarkably high ΔG□, even higher than that measured in a silicon reference sample. This increase in the ΔG□ magnitude is contrary to the classic understanding of recombination centers action and supports the lifetime recovery predicted for concentrations of deep levels above the insulator-metal transition.

Far infrared photoconductivity in a silicon based material: vanadium supersaturated silicon

We have analyzed the spectral sub-bandgap photoresponse of silicon (Si) samples implanted with vanadium (V) at different doses and subsequently processed by pulsed-laser melting. Samples with V concentration clearly above the insulator-metal transition limit show an important increase of the photoresponse with respect to a Si reference sample. Their photoresponse extends into the far infrared region and presents a sharp photoconductivity edge that moves towards lower photon energies as the temperature decreases. The increase of the value of the photoresponse is contrary to the classic understanding of recombination centers action and supports the predictions of the insulator-metal transition theory.

Functional breakdown of the lipid bilayer of the myelin membrane in central and peripheral nervous system by disrupted galactocerebroside synthesis

The lipid bilayer of the myelin membrane of the central nervous system (CNS) and the peripheral nervous system (PNS) contains the oligodendrocyte- and Schwann cell-specific glycosphingolipids galactocerebrosides (GalC) and GalC-derived sulfatides (sGalC). We have generated a UDP-galactose ceramide galactosyltransferase (CGT) null mutant mouse (cgt−/−) with CNS and PNS myelin completely depleted of GalC and derived sGalC. Oligodendrocytes and Schwann cells are unable to restore the structure and function of these galactosphingolipids to maintain the insulator function of the membrane bilayer. The velocity of nerve conduction of homozygous cgt−/− mice is reduced to that of unmyelinated axons. This indicates a severely altered ion permeability of the lipid bilayer. GalC and sGalC are essential for the unperturbed lipid bilayer of the myelin membrane of CNS and PNS. The severe dysmyelinosis leads to death of the cgt−/− mouse at the end of the myelination period.

Chromatin structure and gene expression.

It is now well understood that chromatin structure is perturbed in the neighborhood of expressed genes. This is most obvious in the neighborhood of promoters and enhancers, where hypersensitivity to nucleases marks sites that no longer carry canonical nucleosomes, and to which transcription factors bind. To study the relationship between transcription factor binding and the generation of these hypersensitive regions, we mutated individual cis-acting regulatory elements within the enhancer that lies between the chicken beta- and epsilon-globin genes. Constructions carrying the mutant enhancer were introduced by stable transformation into an avian erythroid cell line. We observed that weakening the enhancer resulted in creation of two classes of site: those still completely accessible to nuclease attack and those that were completely blocked. This all-or-none behavior suggests a mechanism by which chromatin structure can act to sharpen the response of developmental systems to changing concentrations of regulatory factors. Another problem raised by chromatin structure concerns the establishment of boundaries between active and inactive chromatin domains. We have identified a DNA element at the 5' end of the chicken beta-globin locus, near such a boundary, that has the properties of an insulator; in test constructions, it blocks the action of an enhancer on a promoter when it is placed between them. We describe the properties and partial dissection of this sequence. A third problem is posed by the continued presence of nucleosomes on transcribed genes, which might prevent the passage of RNA polymerase. We show, however, that a prokaryotic polymerase can transcribe through a histone octamer on a simple chromatin template. The analysis of this process reveals that an octamer is capable of transferring from a position in front of the polymerase to one behind, without ever losing its attachment to the DNA.

Condensados de Bose-Einstein em redes óticas: a transição superfluido-isolante de Mott em redes hexagonais e a classe de universalidade superfluido-vidro de Bose em 3D

Estudamos transições de fases quânticas em gases bosônicos ultrafrios aprisionados em redes óticas. A física desses sistemas é capturada por um modelo do tipo Bose-Hubbard que, no caso de um sistema sem desordem, em que os átomos têm interação de curto alcance e o tunelamento é apenas entre sítios primeiros vizinhos, prevê a transição de fases quântica superfluido-isolante de Mott (SF-MI) quando a profundidade do potencial da rede ótica é variado. Num primeiro estudo, verificamos como o diagrama de fases dessa transição muda quando passamos de uma rede quadrada para uma hexagonal. Num segundo, investigamos como a desordem modifica essa transição. No estudo com rede hexagonal, apresentamos o diagrama de fases da transição SF-MI e uma estimativa para o ponto crítico do primeiro lobo de Mott. Esses resultados foram obtidos usando o algoritmo de Monte Carlo quântico denominado Worm. Comparamos nossos resultados com os obtidos a partir de uma aproximação de campo médio e com os de um sistema com uma rede ótica quadrada. Ao introduzir desordem no sistema, uma nova fase emerge no diagrama de fases do estado fundamental intermediando a fase superfluida e a isolante de Mott. Essa nova fase é conhecida como vidro de Bose (BG) e a transição de fases quântica SF-BG que ocorre nesse sistema gerou muitas controvérsias desde seus primeiros estudos iniciados no fim dos anos 80. Apesar dos avanços em direção ao entendimento completo desta transição, a caracterização básica das suas propriedades críticas ainda é debatida. O que motivou nosso estudo, foi a publicação de resultados experimentais e numéricos em sistemas tridimensionais [Yu et al. Nature 489, 379 (2012), Yu et al. PRB 86, 134421 (2012)] que violam a lei de escala $\\phi= u z$, em que $\\phi$ é o expoente da temperatura crítica, $z$ é o expoente crítico dinâmico e $ u$ é o expoente do comprimento de correlação. Abordamos essa controvérsia numericamente fazendo uma análise de escalonamento finito usando o algoritmo Worm nas suas versões quântica e clássica. Nossos resultados demonstram que trabalhos anteriores sobre a dependência da temperatura de transição superfluido-líquido normal com o potencial químico (ou campo magnético, em sistemas de spin), $T_c \\propto (\\mu-\\mu_c)^\\phi$, estavam equivocados na interpretação de um comportamento transiente na aproximação da região crítica genuína. Quando os parâmetros do modelo são modificados de maneira a ampliar a região crítica quântica, simulações com ambos os modelos clássico e quântico revelam que a lei de escala $\\phi= u z$ [com $\\phi=2.7(2)$, $z=3$ e $ u = 0.88(5)$] é válida. Também estimamos o expoente crítico do parâmetro de ordem, encontrando $\\beta=1.5(2)$.

Influência da substituição de matérias primas nas propriedades dos fluxantes para lingotamento contínuo de aços médio carbono

O fluxante é uma escória sintética que influencia na qualidade superficial do aço e na estabilidade do processo de lingotamento contínuo. Este produto é aplicado diretamente sobre o aço líquido na região do molde de cobre refrigerado a água e atua diretamente no resfriamento primário do aço. O fluxante tem as propriedades físico-químicas adaptadas para cada tipo de aço e também para as condições de lingotamento. Na superfície do aço líquido, o fluxante funde e forma uma poça líquida, atuando como isolante térmico, protegendo o aço da reoxidação e absorvendo inclusões principalmente de Al2O3. A poça líquida escoa, lubrificando e controlando a transferência de calor na interface entre o molde e a pele de aço em solidificação. O problema de qualidade superficial do aço, quando relacionado ao fluxante, se resume a alarmes de colamento, trincas de quina, marcas de oscilação profundas e trincas longitudinais, sendo este último um problema particular do aço médio carbono. Neste trabalho, foram analisados diferentes fluxantes baseados inicialmente no fluxante comercial aplicado no lingotamento contínuo de placas de aço médio carbono. Todos os fluxantes foram desenvolvidos com composições químicas similares. O objetivo foi avaliar o impacto da substituição de fontes de matérias-primas em diferentes composições de modo a avaliar as propriedades físico-químicas com base no fluxante comercial de referência. Como resultado, de todas as propriedades físico-químicas, foi a temperatura de cristalização que sofreu a alteração mais significativa.