This thesis addresses electron spin phenomena in semi-conductor quantum dots/anti-dots from a computational perspective. In the first paper (paper I) we have studied spin-dependent transport through open quantum dots, i.e., dots strongly coupled to their leads, within the Hubbard model. Results in this model were found consistent with experimental data and suggest that spin-degeneracy is lifted inside the dot – even at zero magnetic field. Similar systems were also studied with electron-electron effects incorporated via Density Functional Theory (DFT) in paper III. Within DFT we found a significant spin-polarisation in the dot at low electron densities. As the electron density increases the spin polarisation in the dot gradually diminishes. These findings are consistent with available experimental observations. Notably, the polarisation is qualitatively different from the one found in the Hubbard model – this indicates that the simplified approach to electronelectron interaction in the Hubbard model might not always be reliable. In paper II we propose a spin-filter device based on resonant backscattering of edge states against a quantum anti-dot embedded in a quantum wire. A magnetic field is applied and the spin up/spin down states are separated through Zeeman splitting. Their respective resonant states may be tuned so that the device can be used to filter either spin in a controlled way. / <p>Report code: LIU-Tek-Lic 2005:65</p>

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L'étude des symétries d'un système peut en révéler de nombreuses propriétés physiques. La brisure, spontanée ou non, d'une de ces symétries implique alors d'importantes conséquences sur le comportement du système. On le voit dans la description actuelle de la physique des particules, avec notamment la création de la masse, ou dans la physique des solides, domaine de cette thèse, avec l'apparition de phases aux propriétés diverses, comme le magnétisme ou la supraconductivité. Le présent travail étudie par spectroscopie de photoémission résolue en angle (ARPES) les effets d'une brisure de symétrie dans deux systèmes différents : le système de fermions lourds URu2Si2 et l'oxyde de métal de transition (TMO) KTaO3. Le cristal d'URu2Si2 passe d'une phase paramagnétique pour T>THO, sujette à la cohérence de Kondo, vers la phase dite d'ordre caché pour T

L'étude des symétries d'un système peut en révéler de nombreuses propriétés physiques. La brisure, spontanée ou non, d'une de ces symétries implique alors d'importantes conséquences sur le comportement du système. On le voit dans la description actuelle de la physique des particules, avec notamment la création de la masse, ou dans la physique des solides, domaine de cette thèse, avec l'apparition de phases aux propriétés diverses, comme le magnétisme ou la supraconductivité. Le présent travail étudie par spectroscopie de photoémission résolue en angle (ARPES) les effets d'une brisure de symétrie dans deux systèmes différents : le système de fermions lourds URu2Si2 et l'oxyde de métal de transition (TMO) KTaO3. Le cristal d'URu2Si2 passe d'une phase paramagnétique pour T>THO, sujette à la cohérence de Kondo, vers la phase dite d'ordre caché pour T

Cette thèse est dédiée à l'étude des propriétés de magnéto-transport des gaz d'électrons bidimensionnel, et plus spécifiquement du graphène sur carbure de silicium (G/SiC) ainsi qu’à l'interface entre les oxydes complexes LaAlO3 (LAO) et SrTiO3 (STO). Nous exploitons la génération d’un champ magnétique intense (jusqu'à 80 T) et les très basses températures (jusqu'à 40 mK) pour étudier les propriétés de transport quantique, qui sont évocatrices de la structure de bandes électroniques sous-jacente. Dans G/SiC, à la limite du régime d’effet Hall quantique, nous mesurons un plateau de Hall ultra-large quantifié à R=h/2e² couvrant un champ magnétique de plus de 70 T (de 7 T à 80 T). La résistance longitudinale est proche de zéro mais présente, de manière inattendue, de faibles oscillations périodiques avec l’inverse du champ magnétique. Sur la base d’observations microscopiques, ce gaz d’électrons 2D est modélisé par une matrice de graphène ayant une densité de porteurs de charge faible, parsemée d’ilots de taille micrométrique ayant un dopage plus important. Les simulations numériques des propriétés de transport reproduisent bien le plateau de Hall et la présence des oscillations. Au-delà du substrat de SiC qui agit comme un réservoir de charge et stabilise le facteur de remplissage à ν=2, un transfert de charge dépendant du champ magnétique entre les ilots chargés est responsable de la présence des oscillations de la magnétorésistance. Cette étude originale fournit de nouvelles perspectives pour des applications en métrologie. Les propriétés remarquables des gaz d’électrons 2D à l'interface entre les oxydes complexes LAO et STO sont aujourd'hui envisagées pour le développement de futurs dispositifs multifonctionnels. Toutefois, leurs propriétés électroniques sont encore mal connues et nécessitent des recherches plus approfondies. Dans ces systèmes, la magnétorésistance montre des oscillations de Shubnikov-de Haas (SdH) quasi-périodiques et un effet Hall linéaire jusqu'à 55 T à basse température. Nous observons une différence d’un ordre de grandeur entre la densité de porteurs extraite de la période des oscillations SdH et la pente de la résistance de Hall, impliquant la présence de nombreuses sous-bandes à l'énergie de Fermi. Les oscillations quasi-périodiques de la magnétorésistance sont bien reproduites par des simulations numériques prenant en compte l'effet Rashba à l'interface. De plus, à partir de l'évolution des oscillations SdH avec la tension de grille à très basse température (40mK), nous identifions les sous-bandes électroniques contribuant au transport, les orbitales atomiques dont elles dérivent, ainsi que leur localisation spatiale dans la profondeur de l'interface. / This thesis is devoted to the study of the magneto-transport properties of two dimensional electron gas (2DEG), and more specifically graphene on silicon carbide (G/SiC) as well as the interface between two complex oxides LaAlO3 / SrTiO3 (LAO/STO). We take advantage of very high magnetic field (up to 80 T) and very low temperature (down to 40 mK) to investigate the quantum transport properties, which are evocative of the underlying electronic band-structure. In G/SiC, close to the quantum Hall breakdown regime, we measure an ultra-broad quantum Hall plateau at R=h/2e² covering a magnetic field range of more than 70 T (from 7 T to 80 T). Accordingly, the longitudinal resistance is close to zero, but displays unexpected weak 1/B-periodic oscillations. Based on microscopic observations, this 2DEG is modeled as a low charge carrier density graphene matrix decorated by micrometers-size puddles with larger doping. Numerical simulations of the transport properties reproduce well both the broad Quantum Hall plateau and the presence of the oscillations. Besides the SiC substrate which acts as a charge reservoir and stabilizes the quantum Hall state at filling factor ν=2, a magnetic field dependent transfer of charges involving the puddles is responsible for the presence of the oscillating features. This original study provides new insights for resistance metrology purposes. The 2DEG arising at the interface between the complex oxides LAO and STO is nowadays envisioned for future multi-functional devices. Their electronic properties are still a matter of debate and require further investigations. The high field magneto-resistance of this 2DEG displays quasi-periodic Shubnikov-de Haas Oscillations (SdHO) and a linear Hall effect up to 55 T at low temperature. We observe a large discrepancy between the carrier density extracted from the period of the SdHO and the slope of the Hall resistance, which constitutes a strong evidence for the presence of many sub-bands crossing the Fermi energy. The quasi-periodic oscillations of the magneto-resistance are well reproduced by numerical simulations taking into account the strong Rashba effect at the interface. In addition, from the back-gate voltage evolution of the SdHO at sub-kelvin temperature, we identify the electronic sub-bands contributing to transport, the orbital symmetry from which they derive, as well as their spatial localization along the interface.

<div>Strong electronic correlations in many-body systems are cradles of new physics. They give birth to novel collective states hosting emergent quasiparticles as well as intriguing geometrical charge patterns. Two-dimensional electron gas in GaAs/AlGaAs under perpendicular magnetic field is one of the most well-known hosts in condensed matter physics where a plethora of the collective states appear. In the strong magnetic field regime, strong Coulomb interactions among the electrons create emergent quasiparticles, i.e. composite fermions and Cooper-paired composite fermions. In the weak magnetic field regime, modified Coulomb interactions drive electron solid phases having geometrical charge patterns in the shape of stripes and bubbles and lower the spatial symmetry of the states.</div><div><br></div><div>The fascinating charge order in bubble geometry is the electron bubble phase predicted first by the Hartree-Fock theory. In a bubble phase, certain number of electrons cluster as an entity called bubble and the bubbles order into a crystal of triangular lattice. In addition to the Hartree-Fock theory, the density matrix renormalization group and the exact diagonalization methods further support the formation of electronic bubbles.</div><div><br></div><div>Reentrant integer quantum Hall states are commonly accepted as the manifestations of the bubble phases in transport experiment. Soon after the first prediction of the Hartree-Fock theory, the reentrant integer quantum Hall states were observed in the third and higher Landau levels. Since then, the association to the bubble phases has been tested with different experimental techniques for decades.</div><div><br></div><div>Although the experimental results from different methods support the bubble phase picture of the reentrant integer quantum Hall states, the electron confinement under the quantum well structure hindered direct scanning of bubble morphology. Thus none of the experiments could showcase the bubble morphology of the reentrant integer quantum Hall states. Meanwhile, a significant discrepancy still remained in between the bubble theories and the experiments. Even though the bubble theories predict the proliferation of bubble phases with increasing orbital index, none of the experiments could observe multiple reentrant integer quantum Hall states in a high Landau level, which signify the multiple bubble formation. Therefore, the proliferation of bubble phases with increasing Landau level index was pessimistic. </div><div><br></div><div>In this Dissertation, I present my research on solving this discrepancy. In chapter 4, we performed a magnetotransport measurement of reentrant integer quantum Hall states in the third and higher Landau levels at various different temperatures. Then, we scrutinized how each of the reentrant integer quantum Hall states develops with the gradual increase of the temperature. As a result, we observed multiple reentrant integer quantum Hall states in the fourth Landau level which are associated with the two- and three-electron bubble phases. This result strongly supports the bubble phase picture of the reentrant integer quantum Hall states by confirming the possibility of the proliferation of bubble phases in high Landau levels.</div><div><br></div><div>In chapter 5, I analyzed the energetics of newly resolved two- and three-electron bubble phases in the fourth Landau level as well as those of two-electron bubble phases in the third Landau level. Here, I first found, in the fourth Landau level, the three-electron bubbles are more stable than the two-electron bubbles indicating that the multi-electron bubbles with higher electron number are more stable within a Landau level. Secondly, I found distinct energetic features of two- and three-electron bubble phases which are independent of Landau level index throughout the third and the fourth Landau levels. These results highlight the effect of the number of electrons per bubble on the energetics of multi-electron bubble phases and are expected to contribute on improving the existing Hartree-Fock theories.</div>

<p dir="ltr">Rapid evolution in wireless technology and the increasing demand for high bandwidth communication for 5G/6G and the Internet of Things (IoT) have necessitated a growing number of components in radio front-end modules in an increasingly overcrowded radio frequency (RF) spectrum. Low-cost ad-hoc radios have drawn consumer interest, enabling new devices like microelectromechanical (MEMS) resonators for on-chip clocking, frequency-selective filters, RF signal processing, and spectral sensing for their small footprint and low power consumption. Gallium nitride (GaN) is an attractive electromechanical material due to its high coupling coefficient, acoustic velocity, and low viscoelastic losses. These benefits enable high-Q MEMS resonators in GaN monolithic microwave integrated circuits (MMICs) with scaling capability up to mm-wave frequencies, making this technology platform a contender for high-performance programmable radios in RF/mm-wave, sensors for harsh environments, and information processing in quantum systems.</p><p dir="ltr">The bias-dependent control mechanism of the 2D electron gas (2DEG) in GaN heterostructures can be exploited to design different switchable and tunable devices for reconfigurable MEMS components. This work presents, for the first time, a comprehensive study of the electromechanical performances of different transduction mechanisms in switchable GaN MEMS resonators. A unique OFF-state shunt design, where the 2DEG in an AlN/GaN heterostructure is utilized to control electromechanical transduction in Lamb mode resonators, is also experimentally demonstrated in this work. To make a valid comparison among switchable transducers, equivalent circuit models are developed to extract key parameters from the measurements by fitting them in both ON and OFF states. The switchable transducer with Ohmic interdigitated transducers (IDTs) and Schottky control gate shows superior performance among the designs under consideration with complete suppression of the mechanical mode in the OFF state and a maximum frequency-quality factor product of 5x10¹²s^-1 and a figure-of-merit of 5.18 at 1GHz in the ON state.</p><p dir="ltr">Over the past few years, there have been numerous efforts to scale the frequencies of MEMS devices in the GaN platform towards mm-wave frequencies. However, challenges remain due to the multi-layer thick buffer, typical in the growth of GaN epilayer on a substrate. This work presents the investigation of SweGaN QuanFINEbuffer-free and ultrathin GaN-on-SiC for the performance of surface acoustic wave (SAW) devices beyond 10GHz. Finite element analysis (FEA) is performed to find the range of frequencies for the Sezawa mode in the structure. Transmission lines and resonators are designed, fabricated, and characterized. Modified Mason circuit models are developed for each class of devices to extract critical performance metrics and benchmark with the state-of-the-art and theoretical limits for GaN. Sezawa modes are observed at frequencies up to 14.3GHz, achieving a record high in GaN MEMS to the best of our knowledge. A maximum piezoelectric coupling of 0.61% and frequency-quality factor product of 6x10¹²s^-1 are achieved for Sezawa resonators at 11GHz, with a minimum propagation loss of 0.26dB/λ for the two-port devices. The devices also exhibit high linearity with input third-order intercept points (IIP3) of 65dBm at 9GHz.</p><p dir="ltr">This work also investigates tunable acoustoelectric (AE) devices in the QuanFINE platform, leveraging its inherent 2DEG in the AlGaN/GaN heterostructure. Using 9.7GHz Sezawa mode acoustic delay lines, we report the highest frequency of AE in GaN to date. Active and passive AE devices are designed for voltage-dependent non-reciprocity and propagation loss without modification to the standard process for the High Electron Mobility Transistors (HEMTs) in MMICs. Drain/source Ohmic contacts control the drift velocity of the 2DEG, and the Schottky gate modulates 2DEG carrier concentration, resulting in a 30dB/cm separation between forward and reverse acoustic waves for a 2.56kV/cm lateral DC electric field and a maximum change in propagation loss of 50dB/cm for -5V DC at the control gate, respectively. The QuanFINEtechnology with AlGaN/GaN heterostructure enables a platform for switchable MEMS resonators and tunable acoustoelectric devices in MMICs for reconfigurable front end approaching mm-wave frequencies.</p>

Modulation doped heterostructures have revolutionized the operation of field effect devices by increasing the speed of operation. One of the factors that affects the speed of operation of these devices is the mobility of the carriers, which is intrinsic to the material used. Mobility of electrons in silicon based devices has improved drastically over the years, reaching as high as 50.000cm2/Vs at 4.2K and 2600cm2/Vs at room temperature. However, the mobility of holes in p-type silicon devices still remains comparatively lesser than the electron mobility because of large effective masses and complicated valence band structure involved. Germanium is known to have the largest hole mobility of all the known semiconductors and is considered most suitable to fabricate high speed p-type devices. Moreover, it is also possible to integrate germanium and its alloy (Si1_zGex ) into the existing silicon technology. With the use of sophisticated growth techniques it has been possible to grow epitaxial layers of silicon and germanium on Si1_zGex alloy layers grown on silicon substrates. In tills thesis we investigate in detail the electrical properties of p-type germanium and n-type silicon thin films grown by these techniques. It is important to do a comparative study of transport in these two systems not only to understand the physics involved but also to study their compatibility in complementary field effect devices (cMODFET). The studies reported in this thesis lay emphasis both on the low and high field transport properties of these systems. We report experimental data for the maximum room temperature mobility of holes achieved m germanium thin films grown on Si1_zGex layers that is comparable to the mobility of electrons in silicon films. We also report experiments performed to study the high field degradation of carrier mobility due to "carrier heating" in these systems. We also report studies on the effect of lattice heating on mobility of carriers as a function of applied electric field. To understand the physics behind the observed phenomenon, we model our data based on the existing theories for low and high field transport. We report complete numerical calculations based on these theories to explain the observed qualitative difference in the transport properties of p-type germanium and ii-type silicon systems. The consistency between the experimental data and theoretical modeling reported in this work is very satisfactory.

We have embarked on a systematic study of novel charge states at oxide interfaces. We have performed pulsed laser deposition (PLD) growth of epitaxial oxide thin films on single crystal oxide substrates. We studied the effects of epitaxial strain and rare-earth composition of the metal oxide thin films. We have successfully created TiO₂ terminated SrTiO₃ (STO) substrates and have grown epitaxial thin films of LaAlO₃ (LAO), LaGaO₃ (LGO), and RAlO₃ on STO using a KrF pulsed excimer laser. Current work emphasizes the importance of understanding the effect of both epitaxial strain and R³+ magnetism on the interface between RAlO₃ and STO. We have demonstrated that the interfaces between LAO/STO and LGO/STO are metallic with carrier concentrations of 1.1 x 10¹⁴ cm[superscript -2] and 4.5 x 10¹⁴ cm[superscript −2], respectively. Rare-earth aluminate films, RAlO₃, with R = Ce, Pr, Nd, Sm, Eu, Gd, and Tb, were also grown on STO. Conducting interfaces were found for R = Pr, Nd and Gd, and the results indicate that for R [does not equal] La the magnetic nature of the R³+ ion causes increased scattering with decreasing temperature that is modeled by the Kondo effect. Epitaxial strain between the polar RAlO₃ films and STO appears to play a crucial role in the transport properties of the metallic interface, where a decrease in the R³+ ion size causes an increase in sheet resistance and an increase in the onset temperatures for increased scattering. / text