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Добірка наукової літератури з теми "Topological state of matter"

Автор: Grafiati
Опубліковано: 6 вересня 2023

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Статті в журналах з теми "Topological state of matter"

1

GROVER, TARUN. "ENTANGLEMENT ENTROPY AND STRONGLY CORRELATED TOPOLOGICAL MATTER." Modern Physics Letters A 28, no. 05 (February 6, 2013): 1330001. http://dx.doi.org/10.1142/s0217732313300012.

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Topological ordered phases are gapped states of matter that are characterized by non-local entanglement in their ground state wave functions instead of a local order parameter. In this paper, we review some of the basic results on the entanglement structure of topologically ordered phases. In particular, we focus on the notion and uses of "topological entanglement entropy" in two and higher dimensions, and also briefly review the relation between entanglement spectrum and the spectrum of the physical edge states for chiral topological states. Furthermore, we discuss a curvature expansion for the entanglement entropy which sharpens the nonlocality of topological entanglement entropy.
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2

Fatemi, Valla, Sanfeng Wu, Yuan Cao, Landry Bretheau, Quinn D. Gibson, Kenji Watanabe, Takashi Taniguchi, Robert J. Cava, and Pablo Jarillo-Herrero. "Electrically tunable low-density superconductivity in a monolayer topological insulator." Science 362, no. 6417 (October 25, 2018): 926–29. http://dx.doi.org/10.1126/science.aar4642.

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Turning on superconductivity in a topologically nontrivial insulator may provide a route to search for non-Abelian topological states. However, existing demonstrations of superconductor-insulator switches have involved only topologically trivial systems. Here we report reversible, in situ electrostatic on-off switching of superconductivity in the recently established quantum spin Hall insulator monolayer tungsten ditelluride (WTe2). Fabricated into a van der Waals field-effect transistor, the monolayer’s ground state can be continuously gate-tuned from the topological insulating to the superconducting state, with critical temperaturesTcup to ~1 kelvin. Our results establish monolayer WTe2as a material platform for engineering nanodevices that combine superconducting and topological phases of matter.
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3

Luo, M. J. "Quark–gluon plasma and topological quantum field theory." Modern Physics Letters A 32, no. 10 (March 27, 2017): 1750056. http://dx.doi.org/10.1142/s0217732317500560.

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Based on an analogy with topologically ordered new state of matter in condensed matter systems, we propose a low energy effective field theory for a parity conserving liquid-like quark–gluon plasma (QGP) around critical temperature in quantum chromodynamics (QCD) system. It shows that below a QCD gap which is expected several times of the critical temperature, the QGP behaves like topological fluid. Many exotic phenomena of QGP near the critical temperature discovered at Relativistic Heavy Ion Collision (RHIC) are more readily understood by the suggestion that QGP is a topologically ordered state.
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4

Panagiotou, Eleni. "Following the entangled state of filaments." Science 380, no. 6643 (April 28, 2023): 340–41. http://dx.doi.org/10.1126/science.adh4055.

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5

Kumar, Abhishek, Manoj Gupta, Prakash Pitchappa, Yi Ji Tan, Nan Wang, and Ranjan Singh. "Topological sensor on a silicon chip." Applied Physics Letters 121, no. 1 (July 4, 2022): 011101. http://dx.doi.org/10.1063/5.0097129.

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An ultrasensitive photonic sensor is vital for sensing matter with absolute specificity. High specificity terahertz photonic sensors are essential in many fields, including medical research, clinical diagnosis, security inspection, and probing molecular vibrations in all forms of matter. Widespread photonic sensing technology detects small frequency shifts due to the targeted specimen, thus requiring ultra-high quality ( Q) factor resonance. However, the existing terahertz waveguide resonating structures are prone to defects, possess limited Q-factor, and lack the feature of chip-scale CMOS integration. Here, inspired by the topologically protected edge state of light, we demonstrate a silicon valley photonic crystal based ultrasensitive, robust on-chip terahertz topological insulator sensor that consists of a topological waveguide critically coupled to a topological cavity with an ultra-high quality ( Q) factor of [Formula: see text]. Topologically protected cavity resonance exhibits strong resilience against disorder and multiple sharp bends. Leveraging on the extremely narrow linewidth (2.3 MHz) of topological cavity resonance, the terahertz sensor shows a record-high figure of merit of [Formula: see text]. In addition to the spectral shift, the intensity modulation of cavity resonance offers an additional sensor metric through active tuning of critical coupling in the waveguide-cavity system. We envision that the ultra-high Q photonic terahertz topological sensor could have chip-scale biomedical applications such as differentiation between normal and cancerous tissues by monitoring the water content.
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6

HAN, Jung Hoon. "Solid State Physics, Condensed Matter Physics, and Topological Physics!" Physics and High Technology 25, no. 12 (December 30, 2016): 2–6. http://dx.doi.org/10.3938/phit.25.060.

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7

Semeghini, G., H. Levine, A. Keesling, S. Ebadi, T. T. Wang, D. Bluvstein, R. Verresen, et al. "Probing topological spin liquids on a programmable quantum simulator." Science 374, no. 6572 (December 3, 2021): 1242–47. http://dx.doi.org/10.1126/science.abi8794.

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Synthesizing topological order Topologically ordered matter exhibits long-range quantum entanglement. However, measuring this entanglement in real materials is extremely tricky. Now, two groups take a different approach and turn to synthetic systems to engineer the topological order of the so-called toric code type (see the Perspective by Bartlett). Satzinger et al . used a quantum processor to study the ground state and excitations of the toric code. Semeghini et al . detected signatures of a toric code–type quantum spin liquid in a two-dimensional array of Rydberg atoms held in optical tweezers. —JS
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8

Satzinger, K. J., Y. J. Liu, A. Smith, C. Knapp, M. Newman, C. Jones, Z. Chen, et al. "Realizing topologically ordered states on a quantum processor." Science 374, no. 6572 (December 3, 2021): 1237–41. http://dx.doi.org/10.1126/science.abi8378.

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Анотація:
Synthesizing topological order Topologically ordered matter exhibits long-range quantum entanglement. However, measuring this entanglement in real materials is extremely tricky. Now, two groups take a different approach and turn to synthetic systems to engineer the topological order of the so-called toric code type (see the Perspective by Bartlett). Satzinger et al . used a quantum processor to study the ground state and excitations of the toric code. Semeghini et al . detected signatures of a toric code–type quantum spin liquid in a two-dimensional array of Rydberg atoms held in optical tweezers. —JS
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9

LIU, LAN-FENG, and SU-PENG KOU. "TOPOLOGICAL QUANTUM PHASE TRANSITION BETWEEN QUANTUM SPIN HALL STATE AND QUANTUM ANOMALOUS HALL STATE." International Journal of Modern Physics B 25, no. 17 (July 10, 2011): 2323–40. http://dx.doi.org/10.1142/s0217979211100096.

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In this paper, starting from a lattice model of topological insulators, we study the quantum phase transitions among different quantum states, including quantum spin Hall state, quantum anomalous Hall state and normal band insulator state by calculating their topological properties (edge states, quantized spin Hall conductivities, and the number of zero mode on a π-flux). We find that at the topological quantum phase transitions (TQPTs), the topological "order parameter" — spin Chern number will jump. And since the masses of the nodal fermions will change sign, the third derivative of ground-state energy is nonanalytic. In addition, we discuss the finite temperature properties and the stability of the TQPTs.
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10

Marra, Pasquale, Alessandro Braggio, and Roberta Citro. "A zero-dimensional topologically nontrivial state in a superconducting quantum dot." Beilstein Journal of Nanotechnology 9 (June 8, 2018): 1705–14. http://dx.doi.org/10.3762/bjnano.9.162.

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The classification of topological states of matter in terms of unitary symmetries and dimensionality predicts the existence of nontrivial topological states even in zero-dimensional systems, i.e., systems with a discrete energy spectrum. Here, we show that a quantum dot coupled with two superconducting leads can realize a nontrivial zero-dimensional topological superconductor with broken time-reversal symmetry, which corresponds to the finite size limit of the one-dimensional topological superconductor. Topological phase transitions corresponds to a change of the fermion parity, and to the presence of zero-energy modes and discontinuities in the current–phase relation at zero temperature. These fermion parity transitions therefore can be revealed by the current discontinuities or by a measure of the critical current at low temperatures.
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Дисертації з теми "Topological state of matter"

1

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.

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Topological states of matter are a novel family of phases that elude the conventional Landau paradigm of phase transitions. Topological phases are characterized by global topological invariants which are typically reflected in the quantization of physical observables. Moreover, their characteristic bulk-boundary correspondence often gives rise to robust surface modes with exceptional features, such as dissipationless charge transport or non-Abelian statistics. In this way, the study of topological states of matter not only broadens our knowledge of matter but could potentially lead to a whole new range of technologies and applications. In this light, it is of great interest to find novel topological phases and to study their unique properties. In this work, novel manifestations of topological states of matter are studied as they arise when materials are subject to additional symmetries. It is demonstrated how symmetries can profoundly enrich the topology of a system. More specifically, it is shown how symmetries lead to additional nontrivial states in systems which are already topological, drive trivial systems into a topological phase, lead to the quantization of formerly non-quantized observables, and give rise to novel manifestations of topological surface states. In doing so, this work concentrates on weakly interacting systems that can theoretically be described in a single-particle picture. In particular, insulating and semi-metallic topological phases in one, two, and three dimensions are investigated theoretically using single-particle techniques.
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2

Vazifeh, Mohammad Mahmoudzadeh. "Exotic phenomena in topological states of matter." Thesis, University of British Columbia, 2014. http://hdl.handle.net/2429/50750.

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Electronic states in band insulators and semimetals can form nontrivial topological structures which can be classified by introducing a set of well defined topological invariants. There are interesting experimentally observable phenomena tied to these topological invariants which are robust as long as the invariants remain well-defined. One important class manifesting these topological phenomena in the bulk and at the edges is the time reversal invariant topological band insulators first discovered in HgTe in 2007. Since then, there have been enormous efforts from both the experimental and the theoretical sides to discover new topological materials and explore their robust physical signatures. In this thesis, we study one important aspect, i.e., the electromagnetic response in the bulk and at the spatial boundaries. First we show how the topological action, which arises in a time reversal invariant three dimensional band insulator with nontrivial topology, is quantized for open and periodic boundary conditions. This confirms the Z2 nature of the strong topological invariant required to classify time-reversal invariant insulators. Next, we introduce an experimentally observable signature in the response of electronic spins on the surface of these materials to the perpendicular magnetic field. We proceed by considering electromagnetic response in the bulk of topological Weyl semimetals in a systematic way by considering a lattice model and we address important questions on the existence or absence of the Chiral anomaly. In the end, we show how a topological phase in a one dimensional system can be an energetically favourable state of matter and introduce the notion of self-organized topological state by proposing an experimentally feasible setup.
Science, Faculty of
Physics and Astronomy, Department of
Graduate
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3

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/.

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Various mathematical tools are developed with the aim of application in mathematical physics. In the first part, a new state sum model for four-manifolds is introduced which generalises the Crane-Yetter model. It is parametrised by a pivotal functor from a spherical fusion category into a ribbon fusion category. The special case of the Crane-Yetter model for an arbitrary ribbon fusion category C arises when we consider the canonical inclusion C↪Z(C) into the Drinfeld centre as the pivotal functor. The model is defined in terms of handle decompositions of manifolds and thus enjoys a succinct and intuitive graphical calculus, through which concrete calculations become very easy. It gives a chain-mail procedure for the Crane-Yetter model even in the case of a nonmodular category. The nonmodular Crane-Yetter model is then shown to be nontrivial: It depends at least on the fundamental group of the manifold. Relations to the Walker-Wang model and recent calculations of ground state degeneracies are established. The second part develops the theory of involutive monoidal categories and half-twists (which are related to braided and balanced structures) further. Several gaps in the literature are closed and some missing infrastructure is developed. The main novel contribution are ``half-ribbon'' categories, which combine duals - represented by rotations in the plane by π - with half-twists, which are represented by turns of ribbons by π around the vertical axis. Many examples are given, and a general construction of a half-ribbon category is presented, resulting in so-called half-twisted categories.
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4

Lang, Nicolai [Verfasser]. "One-Dimensional Topological States of Synthetic Quantum Matter / Nicolai Lang." München : Verlag Dr. Hut, 2019. http://d-nb.info/1196415862/34.

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5

Andrews, Bartholomew. "Stability of topological states and crystalline solids." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/288876.

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From the alignment of magnets to the melting of ice, the transition between different phases of matter underpins our exploitation of materials. Both a quantum and a classical phase can undergo an instability into another state. In this thesis, we study the stability of matter in both contexts: topological states and crystalline solids. We start with the stability of fractional quantum Hall states on a lattice, known as fractional Chern insulators. We investigate, using exact diagonalization, fractional Chern insulators in higher Chern bands of the Harper-Hofstadter model, and examine the robustness of their many-body energy gap in the effective continuum limit. We report evidence of stable states in this regime; comment on two cases associated with a bosonic integer quantum Hall effect; and find a modulation of the correlation function in higher Chern bands. We next examine the stability of molecules using variational and diffusion Monte Carlo. By incorporating the matrix of force constants directly into the algorithms, we find that we are able to improve the efficiency and accuracy of atomic relaxation and eigenfrequency calculation. We test the performance on a diverse selection of case studies, with varying symmetries and mass distributions, and show that the proposed formalism outperforms existing restricted Hartree-Fock and density functional theory methods. Finally, we analyze the stability of three-dimensional crystals. We note that for repulsive Coulomb crystals of point nuclei, cubic systems have a zero matrix of force constants at second order. We investigate this by constructing an analytical model in the tight-binding approximation, and present a phase diagram of the most stable crystal structures, as we tune core and valence orbital radii. We reconcile our results with calculations in the nearly free electron regime, as well as current research in condensed matter and plasma physics.
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6

Kaladzhyan, Vardan. "Spin polarisation and topological properties of Yu-Shiba-Rusinov states." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCC215/document.

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Dans ce manuscrit de thèse, nous revisitons d'abord la physique des états de Yu-Shiba-Rusinov, en nous concentrant sur leur polarisation en spin. Nous commençons par montrer théoriquement que nous pouvons extraire beaucoup d'informations sur le supraconducteur hôte, en analysant la densité locale d'états électroniques liée à la présence d'impuretés magnétiques. Tout d'abord, nous démontrons que le couplage spin-orbite peut être lu directement et sans ambiguïté par la spectroscopie par effet tunnel résolu en spin dans les systèmes bidimensionnels et unidimensionnels, qu’ils soient supraconducteurs ou métalliques. Nous analysons les oscillations induites par les impuretés dans la densité d'états électroniques. En particulier, nous nous concentrons sur la transformation de Fourier (TF) des oscillations de Friedel et nous notons que les caractéristiques à haute intensité apparaissent pour un vecteur d'onde donné par deux fois la longueur inverse du spin-orbite. Ensuite, nous montrons qu'il est possible de déterminer le mécanisme d’appariement dominant, qu’il soit en ondes s ou en ondes p, dans les supraconducteurs non conventionnels en analysant la structure spectrale résolue en spin des états liés de Yu-Shiba-Rusinov. De manière frappante, nous démontrons qu'une analyse minutieuse de la densité d'états électroniques polarisée en spin ne permet pas seulement de caractériser sans équivoque le degré d’appariement de type triplet, mais également son orientation, a.k.a. le vecteur d. Enfin, nous proposons et discutons deux approches différentes d'ingénierie et de contrôle des phases topologiques à l’aide d’impuretés scalaires et magnétiques. Nous commençons par fournir une théorie microscopique des réseaux d'impuretés scalaires sur les supraconducteurs chiraux. Nous montrons que pour un supraconducteur topologique de type chiral, les impuretés scalaires donnent lieu à une hiérarchie complexe de phases non triviales distinctes avec des nombres de Chern élevés. Deuxièmement, nous proposons et étudions théoriquement une nouvelle plate-forme prometteuse que nous appelons «la chaîne dynamique de Shiba», c'est-à-dire une chaîne d'impuretés magnétiques classiques dans un supraconducteur en ondes s avec des spins qui précessent. Nous montrons que cette approche peut être utilisée non seulement pour créer une phase supraconductrice topologique, mais surtout pour contrôler les transitions de phase topologiques au moyen de la dynamique de la texture de la magnétisation. Ce manuscrit est organisé comme suit. Dans la première partie, les informations d'introduction essentielles sur la supraconductivité, les oscillations de Friedel et les états de Yu-Shiba-Rusinov sont fournies. La deuxième partie est consacrée à la polarisation en spin des états Yu-Shiba-Rusinov et aux propriétés qui pourraient être extraites au moyen de la microscopie par effet tunnel résolu en spin. Dans la dernière partie, deux configurations proposées pour l'ingénierie de phases topologiques, basées sur les états induits par les impuretés, sont présentées, suivies de conclusions, d’un bref résumé des réalisations de cette thèse et enfin d’une discussion de possibles directions futures
In 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
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7

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.

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8

Soni, Medha. "Investigation of exotic correlated states of matter in low dimension." Thesis, Toulouse 3, 2016. http://www.theses.fr/2016TOU30381/document.

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La physique statistique quantique formule les règles permettant de classifier les différentes particules. Dans cette thèse nous avons étudié deux projets, l'un portant sur les anyons dits de "Fibonacci" et l'autre sur les fermions sur réseau optique. Ici, nous avons naturellement étendu cette étude aux cas pertinent d'anyons itinérants en interaction sur des échelles. Notre but a été de construire le modèle 2D le simple possible d'anyons itinérants en interaction, analogue direct des systèmes fermioniques et inspiré par les études précédentes. En particulier, nous nous sommes demandé si la séparation spin-charge, bien connu à 1D, pouvait subsister dans le cas d'anyons sur une échelle. De plus, dans l'étude de ce modèle, nous avons découvert une nouvelle phase incompressible pouvant présenter un caractère topologique. Dans le cas des fermions confinés sur un réseau optique unidimensionnel, nous avons étudié les effets d'un chargement non-adiabatique et proposé des protocoles visant à minimiser le réchauffement du gaz quantique. Les atomes ultra-froids sur réseau optique constituent une réalisation idéale pour étudier les systèmes fortement corrélés soumis à un potentiel périodique. Le refroidissement évaporatif d'un nuage d'atomes confiné, c.a.d. sans le potentiel du réseau, s'est avéré être un processus très efficace. Les protocoles courants permettent d'obtenir(pour des fermions) des températures aussi basses que T/TF ≈ 0.08, impossible à réaliser en présence du réseau optique. Notre étude concerne les effets de redistribution de densité pour un système 1D de fermions. Notre but était de voir si des défauts causés par la mauvaise répartition des particules lors du chargement du réseau optique pouvaient empêcher les atomes de se refroidir jusqu'à la température voulue. Nous avons conçu des scenario améliorés où certains paramètres sont modifiés de façon dynamique afin de réduire la densité de défauts créés
Quantum 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
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9

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.

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10

Szewczyk, 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.

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The purpose of this master thesis is to investigate theoretically the influence of a nanomagnet on the Josephson effect displayed by phase biased point contacts consisting of topological superconductors. The device is modeled using the nonequilibrium Keldysh Green’s function technique. First, the Gor’kov Green’s functions are calculated. From these Green’s functions, the quasi-classical ones, relevant for energies around the Fermi energy, are obtained. Transport properties such as charge currents are calculated and analyzed in terms of the junction’s density of states displaying Andreev and Majorana states. The combination of the nanomagnet coupling and the spin-momentum locking of the topological superconductors generates a magneto-electric effect causing the supercurrent to depend strongly on the nanomagnet’s direction.
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Книги з теми "Topological state of matter"

1

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matters. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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2

Bercioux, Dario, Jérôme Cayssol, Maia G. Vergniory, and M. Reyes Calvo, eds. Topological Matter. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0.

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3

Klein Kvorning, Thomas. Topological Quantum Matter. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-96764-6.

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Bruillard, Paul, Carlos Marrero, and Julia Plavnik, eds. Topological Phases of Matter and Quantum Computation. Providence, Rhode Island: American Mathematical Society, 2020. http://dx.doi.org/10.1090/conm/747.

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Isobe, Hiroki. Theoretical Study on Correlation Effects in Topological Matter. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3743-6.

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Giuseppe, Morandi. Quantum Hall effect: Topological problems in condensed-matter physics. Napoli: Bibliopolis, 1988.

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7

Alase, Abhijeet. Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31960-1.

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8

Condensed matter physics. 2nd ed. Hoboken, N.J: Wiley, 2010.

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9

Vladas, Sidoravicius, and Smirnov S. (Stanislav) 1970-, eds. Probability and statistical physics in St. Petersburg: St. Petersburg School in Probability and Statistical Physics : June 18-29, 2012 : St. Petersburg State University, St. Petersburg, Russia. Providence, Rhode Island: American Mathematical Society, 2015.

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Angelo, Joseph A. Solid matter. New York, NY: Facts on File, 2011.

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Частини книг з теми "Topological state of matter"

1

Schoop, L. M., and A. Topp. "Topological Materials and Solid-State Chemistry—Finding and Characterizing New Topological Materials." In Topological Matter, 211–43. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_9.

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Tsai, Wei-Feng, Hsin Lin, and Arun Bansil. "Topological Phases of Quantum Matter." In Springer Series in Solid-State Sciences, 141–69. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76596-9_6.

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Hansson, Thors Hans, and Thomas Klein Kvorning. "Effective Field Theories for Topological States of Matter." In Springer Proceedings in Physics, 1–68. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35473-2_1.

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Robredo, I., B. A. Bernevig, and Juan L. Mañes. "Band Theory Without Any Hamiltonians or “The Way Band Theory Should Be Taught”." In Topological Matter, 1–30. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_1.

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Beidenkopf, Haim. "Momentum and Real-Space Study of Topological Semimetals and Topological Defects." In Topological Matter, 245–56. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_10.

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Neupert, Titus, and Frank Schindler. "Topological Crystalline Insulators." In Topological Matter, 31–61. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_2.

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Gresch, Dominik, and Alexey Soluyanov. "Calculating Topological Invariants with Z2Pack." In Topological Matter, 63–92. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_3.

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Bardarson, Jens H., and Roni Ilan. "Transport in Topological Insulator Nanowires." In Topological Matter, 93–114. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_4.

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Bocquillon, E., J. Wiedenmann, R. S. Deacon, T. M. Klapwijk, H. Buhmann, and L. W. Molenkamp. "Microwave Studies of the Fractional Josephson Effect in HgTe-Based Josephson Junctions." In Topological Matter, 115–48. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_5.

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Grushin, Adolfo G. "Common and Not-So-Common High-Energy Theory Methods for Condensed Matter Physics." In Topological Matter, 149–75. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76388-0_6.

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Тези доповідей конференцій з теми "Topological state of matter"

1

Dorin, Patrick, Xiang Liu, and K. W. Wang. "Tunable Topological Wave Control in a Three-Dimensional Metastable Elastic Metamaterial." In ASME 2021 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/imece2021-69410.

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Abstract The concepts of topological insulators in condensed matter physics have been harnessed in elastic metamaterials to obtain quasi-lossless and omnidirectional guiding of elastic waves. Initial studies concerning topological wave propagation in elastic metamaterials focused on localizing waves in 1D or 2D mechanical structures. More recent investigations involving topological metamaterials have uncovered methodologies to achieve unprecedented control of elastic waves in 3D structures. However, a 3D topological metamaterial that can be tuned online to expand functionalities and respond to external conditions has yet to be developed. To advance the state of the art, this research proposes a tunable 3D elastic metamaterial that enables the reconfiguration of a topological waveguide through the switching of metastable states. Through careful design of internal bistable elements in the metastable unit cell, a switching methodology is developed to obtain topologically distinct lattices and a full topological bandgap. Analysis of the dispersion relation for a supercell reveals the presence of a topological surface state at the interface of topologically distinct lattices. Full-scale finite element simulations illustrate topological wave propagation in a 3D structure with a path that can be tailored on-demand. The research outcomes presented in this paper could be beneficial to potential applications requiring programmable and robust energy transport in 3D mechanical structures and serve as an inspiration for further work in adaptive 3D topological metamaterials.
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Miyake, Hirokazu, Sabyasachi Bank, Wade DeGottardi, Edo Waks, and Mohammad Hafezi. "Observation of Edge States in Nanoscale Topological Photonic Crystals." In JSAP-OSA Joint Symposia. Washington, D.C.: Optica Publishing Group, 2017. http://dx.doi.org/10.1364/jsap.2017.8a_a409_8.

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Topological photonics is a burgeoning subfield of optics, inspired by the discovery of topological insulators in condensed matter [1]. A striking feature of such materials is the existence of edge modes robust against disorder. Such modes are particularly attractive for chip-scale nanophotonic systems for telecommunications [2]. Another appeal is that directional edge states can be interfaced with quantum emitters to realize novel many-body systems such as the fractional quantum Hall state [3]. Building upon previous work [4], we present a new design for an all-dielectric nanoscale topological photonic crystal and present experimental results consistent with the existence of edge states.
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3

Moritake, Yuto, Takuo Tanaka, and Masaya Notomi. "Fabrication and characterization of zig-zag chains with photonic topological edges states." In JSAP-OSA Joint Symposia. Washington, D.C.: Optica Publishing Group, 2019. http://dx.doi.org/10.1364/jsap.2019.18p_e208_3.

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Recently, stimulated by discovery of topological phases of matter, research fields utilizing topological nature of systems has attracted a lot of attention. In photonics, photonic topological insulators mimicking topological insulators in material science have been proposed and demonstrated, leading to emergence of “topological photonics.” Photonic topological insulators were realized by using photonic crystals [1] and metamaterials [2], and exhibit exotic properties such as robustness against disorder and spin-locked non-dissipative propagation, which can be understood by analogies with topological insulators.
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4

Shimkevich, Alexander L. "Tetrahedral-Chain-Cluster Model for Thermodynamic Description of Fluids." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48566.

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The topological structure of density fluctuations of the condensed matter in different aggregative states (liquid, crystal, and amorphous body) is represented as instant densely packed fours of atoms as tetrahedrons connected in pairs by faces in Bernal’s n-chains. Tetrahedral clusters of the dense part of the matter are investigated within the framework of matrix algebra: the “genetic” structure of Bernal’s n-chains is decoded; for calculating the partition function and configuration entropy of the isotropic matter, the number of distinguishable tetrahedral chains is determined as a function of the number of tetrahedrons in them.
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5

Zhou, Hong. "Topology Optimization of Compliant Mechanisms Using Hybrid Discretization Model." In ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/detc2010-28150.

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Hybrid discretization model for topology optimization of compliant mechanisms is introduced in this paper. The design domain is discretized into quadrilateral design cells. Each design cell is further subdivided into triangular analysis cells. This hybrid discretization model allows any two contiguous design cells to be connected by four triangular analysis cells no matter they are in the horizontal, vertical or diagonal direction. Topological anomalies such as checkerboard patterns, diagonal element chains and de facto hinges are completely eliminated. In the proposed topology optimization method, design variables are all binary and every analysis cell is either solid or void to prevent grey cell problem that is usually caused by intermediate material states. Von Mises stress constraint is directly imposed on each analysis cell to make the synthesized compliant mechanism safe. Genetic algorithm is used to search the optimum and avoid the need to choose the initial guess solution and conduct sensitivity analysis. The obtained topology solutions require no postprocessing or interpretation, and have no point flexure, unsmooth boundary and zigzag member. The introduced hybrid discretization model and the proposed topology optimization procedure are illustrated by two classical synthesis examples in compliant mechanisms.
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Mirzaee-Kakhki, Mahla, Adrian Ernst, Anna M. B. E. Rossi, Nico C. X. Stuhlmüller, Maciej Urbaniak, Feliks Stobiecki, Meike Reginka, et al. "Applications of topological magnetic transport." In Magnetic Soft Matter. University of Latvia, 2021. http://dx.doi.org/10.22364/msm.2021.01.

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"FRONT MATTER." In Workshop on Strings, Membranes and Topological Field Theory, edited by Yoshiaki Maeda, Hitoshi Moriyoshi, Motoko Kotani, and Satoshi Watamura. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813144613_fmatter.

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PARK, BYUNG-YOON, HEE-JUNG LEE, VICENTE VENTO, JOON-IL KIM, DONG-PIL MIN, and MANNQUE RHO. "TOPOLOGICAL STRUCTURE OF DENSE HADRONIC MATTER." In Proceedings of the KIAS–APCTP International Symposium on Astro-Hadron Physics. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702524_0022.

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Tanda, S. "New formation of topological matter of NbSe3." In ELECTRONIC PROPERTIES OF MOLECULAR NANOSTRUCTURES: XV International Winterschool/Euroconference. AIP, 2001. http://dx.doi.org/10.1063/1.1426913.

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Sacramento, P. D. "Dynamics of Quenched Topological Edge Modes." In Symmetry and Structural Properties of Condensed Matter. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813234345_0006.

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Звіти організацій з теми "Topological state of matter"

1

Bhatt, Ravindra, Frederick Haldane, Edward Rezayi, and Kun Yang. GEOMETRY, DISORDER AND PHASE TRANSITIONS IN TOPOLOGICAL STATES OF MATTER. Office of Scientific and Technical Information (OSTI), February 2023. http://dx.doi.org/10.2172/1923750.

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Ramshaw, Brad. Future Directions in Topological States of Matter: Beyond the Single Particle Picture. Office of Scientific and Technical Information (OSTI), January 2020. http://dx.doi.org/10.2172/1840775.

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Fu, Liang. Final Report for DOE Award DE-SC0018945: Predictive Theory of Topological States of Matter. Office of Scientific and Technical Information (OSTI), March 2023. http://dx.doi.org/10.2172/1962333.

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Scarola, Vito. Modeling the Stability of Topological Matter in Optical Lattices. Fort Belvoir, VA: Defense Technical Information Center, May 2013. http://dx.doi.org/10.21236/ada581725.

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Gandolfi, Stefano, and Joseph Allen Carlson. The equation of state of nuclear matter. Office of Scientific and Technical Information (OSTI), June 2015. http://dx.doi.org/10.2172/1188173.

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Gray, Wayne. Manufacturing Plant Location: Does State Pollution Regulation Matter? Cambridge, MA: National Bureau of Economic Research, January 1997. http://dx.doi.org/10.3386/w5880.

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Yong, Jie, Yeping Jiang, Demet Usanmaz, Stefano Curtarolo, Xiaohang Zhang, Linze Li, Xiaoqing Pan, Jongmoon Shin, Ichiro Tachuchi, and Richard L. Greene. Composition-spread Growth and the Robust Topological Surface State of Kondo Insulator SmB6 Thin Films. Fort Belvoir, VA: Defense Technical Information Center, January 2014. http://dx.doi.org/10.21236/ada610645.

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Tsang, Manyee Betty. Determination of the equation of state of asymmetric nuclear matter. Office of Scientific and Technical Information (OSTI), December 2016. http://dx.doi.org/10.2172/1337549.

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Levinson, Arik. NIMBY Taxes Matter: State Taxes and Interstate Hazardous Waste Shipments. Cambridge, MA: National Bureau of Economic Research, December 1997. http://dx.doi.org/10.3386/w6314.

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Jacob, Matt. Healthy Mouths: Why They Matter for Adults and State Budgets. DentaQuest Partnership for Oral Health Advancement, February 2020. http://dx.doi.org/10.35565/dqp.2020.2001.

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