Дисертації з теми "Topological state of matter"
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Lau, Alexander. "Symmetry-enriched topological states of matter in insulators and semimetals." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2018. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-233930.
Повний текст джерелаVazifeh, Mohammad Mahmoudzadeh. "Exotic phenomena in topological states of matter." Thesis, University of British Columbia, 2014. http://hdl.handle.net/2429/50750.
Повний текст джерелаScience, Faculty of
Physics and Astronomy, Department of
Graduate
Bärenz, Manuel. "Topological state sum models in four dimensions, half-twists and their applications." Thesis, University of Nottingham, 2017. http://eprints.nottingham.ac.uk/41720/.
Повний текст джерелаLang, Nicolai [Verfasser]. "One-Dimensional Topological States of Synthetic Quantum Matter / Nicolai Lang." München : Verlag Dr. Hut, 2019. http://d-nb.info/1196415862/34.
Повний текст джерелаAndrews, Bartholomew. "Stability of topological states and crystalline solids." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/288876.
Повний текст джерелаKaladzhyan, Vardan. "Spin polarisation and topological properties of Yu-Shiba-Rusinov states." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC215/document.
Повний текст джерелаIn this manuscript we first revisit the physics of Yu-Shiba-Rusinov subgap states, focusing on their spin polarisation. We start by showing theoretically that we can extract a considerable amount of information about the host superconductor, by analysing spin-polarised local density of states related to the presence of magnetic impurities. First, we demonstrate that the spin-orbit coupling in two-dimensional and one-dimensional systems, both superconducting and metallic, can be read-off directly and unambiguously via spin-resolved STM. We analyse the impurity-induced oscillations in the local density of states. In particular, we focus on the Fourier transform (FT) of the Friedel oscillations and we note that high-intensity FT features appear at a wave vector given by twice the inverse spin-orbit length. Second, in unconventional superconductors with both s-wave and p-wave pairing, by analysing the spin-resolved spectral structure of the Yu-Shiba-Rusinov states it is possible to determine the dominating pairing mechanism. Most strikingly, we demonstrate that a careful analysis of spin-polarised density of states allows not only to unambiguously characterise the degree of triplet pairing, but also to define the orientation of the triplet pairing vector, also known as the d-vector.Finally, we discuss two different ways of engineering and controlling topological phases with both scalar and magnetic impurities. We start with providing a microscopic theory of scalar impurity structures on chiral superconductors. We show that given a non-trivial chiral superconductor, the scalar impurities give rise to a complex hierarchy of distinct non-trivial phases with high Chern numbers. Second, we propose and study theoretically a new promising platform that we call 'dynamical Shiba chain', i.e. a chain of classical magnetic impurities in an s-wave superconductor with precessing spins. We have shown that it can be employed not only for engineering a topological superconducting phase, but most remarkably for controlling topological phase transitions by means of magnetisation texture dynamics.This manuscript is organised as follows. In the first part, the essential introductory information on superconductivity, Friedel oscillations and Yu-Shiba-Rusinov states is provided. The second part is dedicated to spin polarisation of Yu-Shiba-Rusinov states and the properties that could be extracted by means of spin-resolved STM measurements. In the last part, two setups proposed for topological phase engineering based on impurity-induced states are presented, followed by conclusions with a brief summary of the thesis achievements and further directions to pursue
Mazza, Leonardo Verfasser], J. I. [Akademischer Betreuer] [Cirac, and Wilhelm [Akademischer Betreuer] Zwerger. "Quantum Simulation of Topological States of Matter / Leonardo Mazza. Gutachter: Wilhelm Zwerger. Betreuer: Juan Ignacio Cirac." München : Universitätsbibliothek der TU München, 2012. http://d-nb.info/1030100055/34.
Повний текст джерелаSoni, Medha. "Investigation of exotic correlated states of matter in low dimension." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30381/document.
Повний текст джерелаQuantum statistics is an important aspect of quantum mechanics and it lays down the rules for identifying dfferent classes of particles. In this thesis, we study two projects, one that surveys models of Fibonacci anyons and another that delves into fermions in optical lattices. We analyse the physics of mobile non-Abelian anyons beyond one-dimension by constructing the simplest possible model of 2D itinerant interacting anyons in close analogy to fermionic systems and inspired by the previous anyonic studies. In particular, we ask the question if spin-charge separation survives in the ladder model for non-Abelian anyons. Furthermore, in the study of this model, we have found a novel physical effective model that possibly hosts a topological gapped state. For fermions in one dimensional optical lattices, we survey the effects of non-adiabatic lattice loading on four different target states, and propose protocols to minimise heating of quantum gases. The evaporative cooling of a trapped atomic cloud, i.e. without the optical lattice potential, has been proven to be a very effective process. Current protocols are able to achieve temperatures as low as T/TF ≈ 0.08, which are lost in the presence of the optical lattice. We aim to understand if defects caused by poor distribution of particles during lattice loading are important for the fermionic case, forbidding the atoms to cool down to the desired level. We device improved ramp up schemes where we dynamically change one or more parameters of the system in order to reduce density defects
Kunst, Flore Kiki. "Topology Meets Frustration : Exact Solutions for Topological Surface States on Geometrically Frustrated Lattices." Licentiate thesis, Stockholms universitet, Fysikum, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-150281.
Повний текст джерелаSzewczyk, Adam. "Supercurrents in a Topological Josephson Junction with a Magnetic Quantum Dot." Thesis, Linnéuniversitetet, Institutionen för fysik och elektroteknik (IFE), 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-79327.
Повний текст джерелаPlekhanov, Kirill. "Topological Floquet states, artificial gauge fields in strongly correlated quantum fluids." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS264/document.
Повний текст джерелаIn this thesis we study the topological aspects of condensed matter physics, that received a revolutionary development in the last decades. Topological states of matter are protected against perturbations and disorder, making them very promising in the context of quantum information. The interplay between topology and interactions in such systems is however far from being well understood, while the experimental realization is challenging. Thus, in this work we investigate analytically such strongly correlated states of matter and explore new protocols to probe experimentally their properties. In order to do this, we use various analytical and numerical techniques. First, we analyze the properties of an interacting bosonic version of the celebrated Haldane model – the model for the quantum anomalous Hall effect. We propose its quantum circuit implementation based on the application of periodic time-dependent perturbations – Floquet engineering. Continuing these ideas, we study the interacting bosonic version of the Kane-Mele model – the first model of a topological insulator. This model has a very rich phase diagram with an emergence of an effective frustrated magnetic model and a variety of symmetry broken spin states in the strongly interacting regime. Ultra-cold atoms or quantum circuits implementation of both Haldane and Kane-Mele bosonic models would allow for experimental probes of the exotic states we observed. Second, in order to deepen the perspectives of quantum circuit simulations of topological phases we analyze the strong coupling limit of the Su-Schrieffer-Heeger model and we test new experimental probes of its topology associated with the Zak phase. We also work on the out-of-equilibrium protocols to study bulk spectral properties of quantum systems and quantum phase transitions using a purification scheme which could be implemented both numerically and experimentally
Baldo, Mesa Casa Lucas. "Majorana bound states in Rashba nanowire junctions." Thesis, Uppsala universitet, Materialteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-416237.
Повний текст джерелаMandal, Partha Sarathi [Verfasser], Oliver [Akademischer Betreuer] Rader, Hans-Joachim [Gutachter] Elmers, and Martin [Gutachter] Weinelt. "Controlling the surface band gap in topological states of matter / Partha Sarathi Mandal ; Gutachter: Hans-Joachim Elmers, Martin Weinelt ; Betreuer: Oliver Rader." Potsdam : Universität Potsdam, 2020. http://d-nb.info/1221183621/34.
Повний текст джерелаLau, Alexander [Verfasser], Jeroen van den [Akademischer Betreuer] Brink, Jeroen van den [Gutachter] Brink, and Carmine [Gutachter] Ortix. "Symmetry-enriched topological states of matter in insulators and semimetals / Alexander Lau ; Gutachter: Jeroen van den Brink, Carmine Ortix ; Betreuer: Jeroen van den Brink." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2018. http://d-nb.info/1154680487/34.
Повний текст джерелаBöttcher, Jan Frederic [Verfasser], Ewelina M. [Gutachter] Hankiewicz, Giorgio [Gutachter] Sangiovanni, and Hartmut [Gutachter] Buhmann. "Fate of Topological States of Matter in the Presence of External Magnetic Fields / Jan Frederic Böttcher ; Gutachter: Ewelina M. Hankiewicz, Giorgio Sangiovanni, Hartmut Buhmann." Würzburg : Universität Würzburg, 2021. http://d-nb.info/1225684943/34.
Повний текст джерелаCharbonneau, Arthur James. "Topological currents in dense matter." Thesis, University of British Columbia, 2011. http://hdl.handle.net/2429/35918.
Повний текст джерелаTibaldi, Simone. "Deep learning topological phases of matter." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/20521/.
Повний текст джерелаMeichanetzidis, Konstantinos. "Diagnosing topological quantum matter via entanglement patterns." Thesis, University of Leeds, 2017. http://etheses.whiterose.ac.uk/18806/.
Повний текст джерелаShan, Wenyu, and 单文语. "Effective continuous model on topological insulators." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2012. http://hub.hku.hk/bib/B49617679.
Повний текст джерелаpublished_or_final_version
Physics
Doctoral
Doctor of Philosophy
Zhao, An, and 赵安. "Theoretical study of magnetic topological insulators." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hdl.handle.net/10722/197556.
Повний текст джерелаpublished_or_final_version
Physics
Doctoral
Doctor of Philosophy
Contamin, Lauriane. "Mise en évidence de textures de spin synthétiques par des mesures de transport et de champ microonde." Thesis, Paris Sciences et Lettres (ComUE), 2019. http://www.theses.fr/2019PSLEE020.
Повний текст джерелаIn this thesis, we have studied carbon nanotube-based nanocircuits integrated in a microwave cavity architecture. Our device is compatible with the simultaneous measurement of both the current through the nanocircuit and the frequency shift of the cavity. These two signals give complementary information about the device. In the two experiments presented in this thesis, the carbon nanotube was positioned above a magnetic material containing several magnetization domains. The resulting magnetic stray field’s axis oscillates along the carbon nanotube length. For the confined electrons, this is equivalent to both a synthetic spin-orbit interaction and a Zeeman effect. This synthetic effect is evidenced in two ways. In a first experiment, we have measured the evolution of the nanotube’s energy levels when the magnetic material is progressively magnetized by an external magnetic field, thus destroying the oscillations of the stray field. In this experiment, the carbon nanotube had a very transparent contact to a superconducting metal, in addition to the synthetic spin-orbit interaction and Zeeman effect. These ingredients are a pre-requisite to observe Majorana quasiparticles in a one-dimensional nanoconductor. Those quasiparticles are under intense study for their potential use in quantum computing. In the second experiment, we have realized a double quantum dot in which each dot similarly lays above an oscillating magnetic field. The internal transitions of this DQD are measured with the microwave cavity signal. We evidenced a strong dispersion of the energy of the double quantum dots’ internal transitions with a small external magnetic field. This dispersion can be explained by a Zeeman effect in which the Landé factor, g, has been strongly renormalized by the synthetic spin-orbit interaction
Thiang, Guo Chuan. "Topological phases of matter, symmetries, and K-theory." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:53b10289-8b59-46c2-a0e9-5a5fb77aa2a2.
Повний текст джерелаAcero, González Sergio [Verfasser]. "Topological State Engineering / Sergio Acero González." Berlin : Freie Universität Berlin, 2020. http://d-nb.info/1222029456/34.
Повний текст джерелаChess, Jordan J. "Mapping Topological Magnetization and Magnetic Skyrmions." Thesis, University of Oregon, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10684160.
Повний текст джерелаA 2014 study by the US Department of Energy conducted at Lawrence Berkeley National Laboratory estimated that U.S. data centers consumed 70 billion kWh of electricity. This represents about 1.8% of the total U.S. electricity consumption. Putting this in perspective 70 billion kWh of electricity is the equivalent of roughly 8 big nuclear reactors, or around double the nation's solar panel output. Developing new memory technologies capable of reducing this power consumption would be greatly beneficial as our demand for connectivity increases in the future. One newly emerging candidate for an information carrier in low power memory devices is the magnetic skyrmion. This magnetic texture is characterized by its specific non-trivial topology, giving it particle-like characteristics. Recent experimental work has shown that these skyrmions can be stabilized at room temperature and moved with extremely low electrical current densities. This rapidly developing field requires new measurement techniques capable of determining the topology of these textures at greater speed than previous approaches. In this dissertation, I give a brief introduction to the magnetic structures found in Fe/Gd multilayered systems. I then present newly developed techniques that streamline the analysis of Lorentz Transmission Electron Microscopy (LTEM) data. These techniques are then applied to further the understanding of the magnetic properties of these Fe/Gd based multilayered systems.
This dissertation includes previously published and unpublished co-authored material.
Higginbotham, Andrew Patrick. "Quantum Dots for Conventional and Topological Qubits." Thesis, Harvard University, 2015. http://nrs.harvard.edu/urn-3:HUL.InstRepos:23845477.
Повний текст джерелаPhysics
Hart, Sean. "Electronic Phenomena in Two-Dimensional Topological Insulators." Thesis, Harvard University, 2016. http://nrs.harvard.edu/urn-3:HUL.InstRepos:33493567.
Повний текст джерелаPhysics
Maffei, Maria. "Simulation and bulk detection of topological phases of matter." Doctoral thesis, Universitat Politècnica de Catalunya, 2019. http://hdl.handle.net/10803/665708.
Повний текст джерелаA diferencia de la mayoría de las otras fases de la materia, caracterizadas por un parámetro de orden local, las fases topológicas de la materia se definen por su invariante topológico que depende de las propiedades globales del sistema y es robusto frente a la presencia de impurezas y/o deformaciones. En la última década, el estudio de las fases topológicas de la materia se ha desarrollado en paralelo con el campo de la simulación cuántica. Un simulador cuántico es unas plataformas experimental altamente controlable cuyo objetivo es simular la dinámica de un sistema de interés, mediante la correspondencia entre los dos Hamiltonianos. Estos simuladores representan un recurso clave en el estudio de las fases topológicas dado que su observación en sistemas reales es en general muy problemática y en determinadas ocasiones hasta imposible. Normalmente, los simuladores cuánticos se crean mediante átomos fríos en redes ópticas o con sistemas fotónicos. Los paseos cuánticos (quantum walks), un proceso unitario y temporalmente periódico, representan una de las clases mas versátiles de simuladores cuánticos. El propósito de esta tesis de doctorado es el diseño de protocolos para la simulación y la caracterización de Hamiltonianos topológicos no interactivos de estructuras cristalinas, tanto en una como en dos dimensiones. Además, en esta tesis se expone la descripción de experimentos llevados a cabo a partir del modelo teórico propuesto. En detalle: Demostramos que el invariante topologico asociado a la simetría quiral en una dimensión se hace aparente a partir del limite a tiempos largos de un observable del volumen (bulk), el desplazamiento quiral medio (MCD, por sus siglas en inglés). Este método de detección converge de manera rápida y no necesita de elementos adicionales (es decir, de campos externos) o bandas pobladas. El MCD ha sido utilizado para caracterizar la topología de un paseo cuántico en una dimensión con simetria quiral y para detectar la fase topológica aislante de Anderson en hilos quirales con desorden, simulados con átomos ultra fríos. Hemos diseñado un protocolo para medir el invariante topológico que caracteriza un paseo cuántico en dos dimensiones simulando un aislante de Chern.
Phuphachong, Thanyanan. "Magneto-spectroscopy of Dirac matter : graphene and topological insulators." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066170/document.
Повний текст джерелаThis thesis reports on the study under magnetic field of the electronic properties of relativistic-like Dirac fermions in two Dirac systems: graphene and topological insulators. Their analogies with high-energy physics and their potential applications have attracted great attention for fundamental research in condensed matter physics. The carriers in these two materials obey a Dirac Hamiltonian and the energy dispersion is analogous to that of the relativistic particles. The particle rest mass is related to the band gap of the Dirac material, with the Fermi velocity replacing the speed of light. Graphene has been considered as a “role model”, among quantum solids, that allows us to study the relativistic behavior of massless Dirac fermions satisfying a linear dispersion. When a Dirac system possesses a nonzero gap, we have massive Dirac fermions. Massless and massive Dirac fermions were studied in high-mobility multilayer epitaxial graphene and in topological crystalline insulators Pb1-xSnxSe and Pb1-xSnxTe. The latter system is a new class of topological materials where the bulk states are insulating but the surface states are conducting. This particular aspect results from the inversion of the lowest conduction and highest valence bulk bands having different parities, leading to a topological phase transition. Infrared magneto-spectroscopy is an ideal technique to probe these zero-gap or narrow gap materials since it provides quantitative information about the bulk parameters via the Landau quantization of the electron states. In particular, the topological phase transition can be characterized by a direct measurement of the topological index
Dauphin, Alexandre. "Cold atom quantum simulation of topological phases of matter." Doctoral thesis, Universite Libre de Bruxelles, 2015. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209076.
Повний текст джерелаIl existe cependant des phases qui échappent à la description de Landau. Il s'agit des phases quantiques topologiques. Celles-ci constituent un nouveau paradigme et sont caractérisées par un ordre global défini par un invariant topologique. Ce dernier classe les objets ou systèmes de la manière suivante: deux objets appartiennent à la même classe topologique s'il est possible de déformer continument le premier objet en le second. Cette propriété globale rend le système robuste contre des perturbations locales telles que le désordre.
Les atomes froids constituent une plateforme idéale pour simuler les phases quantiques topologiques. Depuis l'invention du laser, les progrès en physique atomique et moléculaire ont permis un contrôle de la dynamique et des états internes des atomes. La réalisation de gaz quantiques,tels que les condensats de Bose-Einstein et les gaz dégénérés de Fermi, ainsi que la réalisation de réseaux optiques à l'aide de faisceaux lasers, permettent d'étudier ces nouvelles phases de la matière et de simuler aussi la physique du solide cristallin.
Dans cette thèse, nous nous concentrons sur l'etude d'isolants topologiques avec des atomes froids. Ces derniers sont isolants de volume mais possèdent des états de surface qui sont conducteurs, protégés par un invariant topologique. Nous traitons trois sujets principaux. Le premier sujet concerne la génération dynamique d'un isolant topologique de Mott. Ici, les interactions engendrent l'isolant topologique et ce, sans champ de jauge de fond. Le second sujet concerne la détection des isolants topologiques dans les expériences d'atomes froids. Nous proposons deux méthodes complémentaires pour caractériser celles-ci. Finalement, le troisième sujet aborde des thèmes au-delà de la définition standard d'isolant topologique. Nous avons d'une part proposé un algorithme efficace pour calculer la conductivité de Berry, la contribution topologique à la conductivité transverse lorsque l'énergie de Fermi se trouve dans une bande d'énergie. D'autre part, nous avons utilisé des méthodes pour caractériser les propriétés quantiques topologiques de systèmes non-périodiques.
L'étude des isolants topologiques dans les expériences d'atomes froids est un sujet de recherche récent et en pleine expansion. Dans ce contexte, cette thèse apporte plusieurs contributions théoriques pour la simulation de systèmes quantiques sur réseau avec des atomes froids.
Doctorat en Sciences
info:eu-repo/semantics/nonPublished
Chu, Ruilin, and 储瑞林. "Numerical study of topological insulators and semi-metals." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B47163252.
Повний текст джерелаpublished_or_final_version
Physics
Doctoral
Doctor of Philosophy
Moore, Christopher Paul. "Tunneling Transport Phenomena in Topological Systems." Thesis, Clemson University, 2019. http://pqdtopen.proquest.com/#viewpdf?dispub=13420479.
Повний текст джерелаOriginally proposed in high energy physics as particles, which are their own anti-particles, Majorana fermions have never been observed in experiments. However, possible signatures of their condensed matter analog, zero energy, charge neutral, quasiparticle excitations, known as Majorana zero modes (MZMs), are beginning to emerge in experimental data. The primary method of engineering topological superconductors capable of supporting MZMs is through proximity-coupled semiconductor nanowires with strong Rashba spin-orbit coupling and an applied magnetic field. Recent tunneling transport experiments involving these materials, known as semiconductor-superconductor heterostructures, were capable for the first time of measuring quantized zero bias conductance plateaus, which are robust over a range of control parameters, long believed to be the smoking gun signature of the existence of MZMs. The possibility of observing Majorana zero modes has garnered great excitement within the field due to the fact that MZMs are predicted to obey non-Abelian quantum statistics and therefore are the leading candidates for the creation of qubits, the building blocks of a topological quantum computer. In this work, we first give a brief introduction to Majorana zero modes and topological quantum computing (TQC). We emphasize the importance that having a true topologically protected state, which is not dependent on local degrees of freedom, has with regard to non-Abelian braiding calculations. We then introduce the concept of partially separated Andreev bound states (ps-ABSs) as zero energy states whose constituent Majorana bound states (MBSs) are spatially separated on the order of the Majorana decay length. Next, through numerical calculation, we show that the robust 2 e2/h zero bias conductance plateaus recently measured and claimed by many in the community to be evidence of having observed MZMs for the first time, can be identically created due to the existence of ps-ABSs. We use these results to claim that all localized tunneling experiments, which have been until now the main way researchers have tried to measure MZMs, have ceased to be useful. Finally, we outline a two-terminal tunneling experiment, which we believe to be relatively straight forward to implement and fully capable of distinguishing between ps-ABSs and true topologically protected MZMs.
Farrell, Aaron. "Topological superconductivity without proximity effect." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=119741.
Повний текст джерелаRécemment, une région d'intérêt en la recherché de la matière condensée est le recherche pour les "Majorana Fermions". Les physiciens sont fascinés avec cette particule pour des raisons fondamentales et pratiques. Fondamentalement, une particule se comporte comme un Majorana Fermion n'a jamais été trouvée avant. Pratiquement, un Majorana Fermion pourrait être utilisé pour la construction d'un ordinateur quantique. Dans les dernières années, les chercheurs ont commencé à chercher pour des Majorana Fermions dans les supraconducteurs. En particulier, les supraconducteurs topologiques sont crus de supportes les Majorana Fermions dans leur vortex cores et de ce fait des nombreux dispositifs supraconducteurs topologiques ont été proposées. Les propositions récemment sont basées sur les hétérostructures de trois ou deux couches. Dans ces hétérostructures, les bandes d'un semiconducteur avec le couplage de spin-orbit sont séparées par le champ Zeeman d'une couche ferromagnétique (ou un champ appliqué). Après cette, supraconductivité topologique est établie dans la couche de semiconductrice en raison de la proximité d'une couche de supraconducteur ordinaire. Dans cette thèse nous proposons une simplification des dispositifs décrits ci-dessus; nous suggérons un moyen d'enlever la couche de supraconductivité. Nous commençons par proposer un Hamiltonian du cette système et procède à développer des nombreuses méthodes pour analyser cette Hamiltonian avec l'objectif ultime de classifier la topologie de ce système.
Zhong, Shudan. "Linear and Nonlinear Electromagnetic Responses in Topological Semimetals." Thesis, University of California, Berkeley, 2019. http://pqdtopen.proquest.com/#viewpdf?dispub=13421373.
Повний текст джерелаThe topological consequences of time reversal symmetry breaking in two dimensional electronic systems have been a focus of interest since the discovery of the quantum Hall effects. Similarly interesting phenomena arise from breaking inversion symmetry in three dimensional systems. For example, in Dirac and Weyl semimetals the inversion symmetry breaking allows for non-trivial topological states that contain symmetry-protected pairs of chiral gapless fermions. This thesis presents our work on the linear and nonlinear electromagnetic responses in topological semimetals using both a semiclassical Boltzmann equation approach and a full quantum mechanical approach. In the linear response, we find a ``gyrotropic magnetic effect" (GME) where the current density $j
B$ in a clean metal is induced by a slowly-varying magnetic field. It is shown that the experimental implications and microscopic origin of GME are both very different from the chiral magnetic effect (CME). We develop a systematic way to study general nonlinear electromagnetic responses in the low-frequency limit using a Floquet approach and we use it to study the circular photogalvanic effect (CPGE) and second-harmonic generation (SHG). Moreover, we derive a semiclassical formula for magnetoresistance in the weak field regime, which includes both the Berry curvature and the orbital magnetic moment. Our semiclassical result may explain the recent experimental observations on topological semimetals. In the end, we present our work on the Hall conductivity of insulators in a static inhomogeneous electric field and we discuss its relation to Hall viscosity.
Li, Cheng. "Engineering High Dimensional Topological Matters in Quantum Gases." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1585827770946136.
Повний текст джерелаChiel, Joshua R. "Natural Mechanical Topological Insulators." Case Western Reserve University School of Graduate Studies / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=case1586315731890489.
Повний текст джерелаde, Lisle James. "The characterisation and manipulation of novel topological phases of matter." Thesis, University of Leeds, 2016. http://etheses.whiterose.ac.uk/13809/.
Повний текст джерелаKavoussanaki, Eleftheria. "Topological defects in the universe and in condensed matter systems." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401774.
Повний текст джерелаLo, Wei-Chang. "Ring polymers as topological glass, a new phase of matter?" Thesis, University of Warwick, 2012. http://wrap.warwick.ac.uk/46819/.
Повний текст джерелаJanot, Alexander. "Quantum Condensates and Topological Bosons in Coupled Light-Matter Excitations." Doctoral thesis, Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-199239.
Повний текст джерелаRosenberg, Peter. "Exotic Phases in Attractive Fermions: Charge Order, Pairing, and Topological Signatures." W&M ScholarWorks, 2018. https://scholarworks.wm.edu/etd/1550153985.
Повний текст джерелаNemytov, Vadim. "Topological insulators: theory and electronic transport calculations." Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=114415.
Повний текст джерелаDans cette thèse, nous étudions le transport quantique dans l'isolant topologique (TI) Bi2Se3 à partir d'un modèle d'échelle atomique. Un TI est un matériau ayant une structure de bande de type isolant bien qu'on y retrouve des états hélicodaux en surface. Ces états hélicoı̈daux ont une relation de dispersion linéaire, dite dispersion de Dirac, qui traverse la bande interdite du cristal. Ces électrons voyageant selon les relations de Dirac sont contraints à se mouvoir perpendiculairement à leur spin. La structure électronique particulière de l'isolant topologique Bi2Se3 est due à une forte interaction spin-orbite et est protégée par une symétrie par renversement du temps. Cette thse comporte deux grands segments. Dans un premier temps, nous présentons une synthèse de la théorie générale des isolants topologiques. Nous présentons ensuite les résultats de nossimulation de transport quantique dans le matériau Bi2Se3. Dans notre résumé de la théorie des TI, nous présentons une revue de littérature et décrivons conceptuellement, dans la mesure du possible, le comportement des TI de sorte à rendre notre texte intelligible au non-expert. La théorie des TI est expliquée à artir de phénomènes classiques et quantiques connus tels que l'effet Hall, l'interaction spin-orbite, le courant de spin, l'effet Hall de spin, etc. Le concept de la phase de Berry est ensuite introduit pour faire le pont avec la classification traditionnelle des TI, laquelle se base sur les invariants topologiques de Z2. Le tout est présenté avec la théorie des bandes en filigrane. Dans le second segment de cette thése, nous étudions les propriétés physiques du Bi2Se3 à partir de simulations numériques. Après une brève discussion de certains éléments pertinents empruntés de la théorie du transport quantique et du modèle des liens étroits d'échelle atomique, nous présentons les résultats d'une simulation dans laquelle des électrons voyagent à travers un film de Bi2Se3 ayant une dépression en son milieu. Un tel défaut provoquerait une forte diffusion des porteurs de charge dans un conducteur standard. Dans le cas qui nous concerne, la diffusion des états hélicoı̈daux est endiguée par la contrainte qui force ces états à voyager perpendiculairement à leur spin. Néanmoins, de larges dépressions dans le film peuvent provoquer le mélange des états hélicoı̈daux de surface et des états localisés à l'intérieur du cristal, ce qui affecte le transport des porteurs de charge.
Calvanese, Strinati Marcello. "Topological effects in one-dimensional quantum systems." Doctoral thesis, Scuola Normale Superiore, 2018. http://hdl.handle.net/11384/85903.
Повний текст джерелаIgram, Dale J. "A Topological Explanation of the Urbach Tail." Ohio University / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1459885929.
Повний текст джерела陳柏緯 and Pak-wai Chan. "Equation of state of nuclear matter." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31211215.
Повний текст джерелаZhang, Shilei. "Chiral and topological nature of magnetic skyrmions." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:11306f2a-77e6-4f65-a3dd-3b1c2365ea32.
Повний текст джерелаKerr, Steven. "Topological quantum field theory and quantum gravity." Thesis, University of Nottingham, 2014. http://eprints.nottingham.ac.uk/14094/.
Повний текст джерелаRonquillo, David C. "Identifying topological order in the Shastry-Sutherland model via entanglement entropy." Thesis, California State University, Long Beach, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=1596474.
Повний текст джерелаIt is known that for a topologically ordered state the area law for the entanglement entropy shows a negative universal additive constant contribution, –γ, called the topological entanglement entropy. We theoretically study the entanglement entropy of the two-dimensional Shastry-Sutherland quantum antiferromagnet using exact diagonalization on clusters of 16 and 24 spins. By utilizing the Kitaev-Preskill construction, we extract a finite topological term, –γ , in the region of bond-strength parameter space corresponding to high geometrical frustration. Thus, we provide strong evidence for the existence of an exotic topologically ordered state and shed light on the nature of this model's strongly frustrated, and long controversial, intermediate phase.
González, Cuadra Daniel. "A cold-atom approach to topological quantum matter across the energy scale." Doctoral thesis, Universitat Politècnica de Catalunya, 2020. http://hdl.handle.net/10803/670622.
Повний текст джерелаEl enorme progreso llevado a cabo en las últimas decadas para aislar y manipular sistemas cuánticos individuales ha revolucionado la manera de investigar fenómenos cuánticos de muchos cuerpos, los cuales se presentan a diferentes escalas energéticas en la naturaleza. Actualmente, una gran variedad de modelos paradigmáticos en física de la materia condensada y de altas energías se estudian experimentalmente utilizando sistemas atómicos tales como átomos ultrafríos en retículos ópticos, llevando a la realidad la idea de simulador cuántico de Feynman. Los simuladores cuánticos ofrecen la posibilidad de obtener información sobre otros sistemas cuánticos más complejos que, o bien no son accesibles experimentalmente, o cuyas propiedades no se pueden predecir fácilmente utilizando técnicas analíticas o numéricas usuales. Estos sistemas cuánticos sintéticos se pueden diseñar de tal manera que se encuentren descritos precisamente por los mismos modelos que los anteriores y, gracias a su notable control, permiten investigar los fenómenos más relevantes asociados a ellos. Aparte de su uso como simuladores cuánticos, estos sistemas atómicos se pueden utilizar para crear nuevos tipos de materia cuántica cuyas propiedades pueden ser diferentes de aquellas encontradas en la naturaleza, ofreciendo así aplicaciones interesantes en tecnología cuántica. En esta tesis investigamos las posibilidades que los sistemas de átomos fríos ofrecen para obtener materia cuántica con propiedades topológicas no triviales. Analizamos, en particular, diferentes estrategias de simulación cuántica para acceder a varios fenómenos de muchos cuerpos que aún no se entienden de forma satisfactoria, utilizando para ello mezclas de átomos ultrafríos. Mostramos además como estas plataformas pueden dar lugar a efectos topológicos fuertemente correlacionados que van más allá de los encontrados hasta ahora en sistemas naturales. Primero nos enfocamos en modelos inspirados por sistemas de materia condensada. En particular, proponemos como implementar retículos dinámicos, los cuales suelen ser estáticos en sitemas ópticos, de manera que podamos simular las partículas fonónicas que aparecen en sólidos cristalinos. Acoplamos estos últimos a materia cuántica utilizando una mezcla de átomos bosónicos, lo cual nos permite reproducir algunos de los efectos típicos que aparecen en sitemas electrónicos, tales como defectos topológicos o fraccionalización de la carga. Por último, extendemos estos resultados encontrando rasgos nuevos, desde la fraccionalización de bosones hasta fases topológicas entrelazadas. Consideramos además simulaciones cuánticas para problemas en física de altas energías. Utilizando mezclas de átomos bosónicos y fermiónicos, mostramos como algunos fenómenos no perturbativos característicos de teorías gauge no abelianas, tales como el confinamiento de quarks, pueden aparecer en modelos más sencillos, los cuales están al alcance de la tecnología actual. Finalmente, investigamos como la interacción entre simetría gauge y correlaciones fuertes puede dar lugar a nuevos mecanismos para genera orden topológico más robusto en simuladores cuánticos a corto plazo. En resumen, nuestros resultados muestras varias conexiones entre diferentes areas de la física teórica y experimental, e indican como estas pueden ser exploradas para avanzar en el conocmiento de la materia cuántica fuertemente correlacionada, así como en las posibles aplicaciones tecnológicas de esta última.
Edvardsson, Elisabet. "Band structures of topological crystalline insulators." Thesis, Karlstads universitet, Institutionen för ingenjörsvetenskap och fysik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-65536.
Повний текст джерелаDos, Santos Luiz Henrique Bravo. "Topological Properties of Interacting Fermionic Systems." Thesis, Harvard University, 2012. http://dissertations.umi.com/gsas.harvard:10195.
Повний текст джерелаPhysics