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Books on the topic 'Topological quantum phases of matter'

Author: Grafiati

Published: 10 December 2022

Last updated: 29 January 2023

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1

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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2

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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3

Chruściński, Dariusz. Geometric Phases in Classical and Quantum Mechanics. Boston, MA: Birkhäuser Boston, 2004.

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4

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

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5

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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6

missing], [name. The geometric phase in quantum systems: Foundations, mathematical concepts, and applications in molecular and condensed matter physics. Berlin: Springer, 2002.

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7

1975-, Sims Robert, and Ueltschi Daniel 1969-, eds. Entropy and the quantum II: Arizona School of Analysis with Applications, March 15-19, 2010, University of Arizona. Providence, R.I: American Mathematical Society, 2011.

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8

Bruillard, Paul, Carlos Ortiz Marrero, and Julia Plavnik. Topological Phases of Matter and Quantum Computation. American Mathematical Society, 2020.

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9

Kohmoto, Mahito. Quantum Mechanical Phases and Topological Numbers in Modern Physics (Condensed Matter Physics). Taylor & Francis, 2008.

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10

Wen, Xiao-Gang, Xie Chen, Bei Zeng, and Duan-Lu Zhou. Quantum Information Meets Quantum Matter: From Quantum Entanglement to Topological Phases of Many-Body Systems. Springer, 2019.

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11

Kenyon, Ian R. Quantum 20/20. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198808350.001.0001.

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This text reviews fundametals and incorporates key themes of quantum physics. One theme contrasts boson condensation and fermion exclusivity. Bose–Einstein condensation is basic to superconductivity, superfluidity and gaseous BEC. Fermion exclusivity leads to compact stars and to atomic structure, and thence to the band structure of metals and semiconductors with applications in material science, modern optics and electronics. A second theme is that a wavefunction at a point, and in particular its phase is unique (ignoring a global phase change). If there are symmetries, conservation laws follow and quantum states which are eigenfunctions of the conserved quantities. By contrast with no particular symmetry topological effects occur such as the Bohm–Aharonov effect: also stable vortex formation in superfluids, superconductors and BEC, all these having quantized circulation of some sort. The quantum Hall effect and quantum spin Hall effect are ab initio topological. A third theme is entanglement: a feature that distinguishes the quantum world from the classical world. This property led Einstein, Podolsky and Rosen to the view that quantum mechanics is an incomplete physical theory. Bell proposed the way that any underlying local hidden variable theory could be, and was experimentally rejected. Powerful tools in quantum optics, including near-term secure communications, rely on entanglement. It was exploited in the the measurement of CP violation in the decay of beauty mesons. A fourth theme is the limitations on measurement precision set by quantum mechanics. These can be circumvented by quantum non-demolition techniques and by squeezing phase space so that the uncertainty is moved to a variable conjugate to that being measured. The boundaries of precision are explored in the measurement of g-2 for the electron, and in the detection of gravitational waves by LIGO; the latter achievement has opened a new window on the Universe. The fifth and last theme is quantum field theory. This is based on local conservation of charges. It reaches its most impressive form in the quantum gauge theories of the strong, electromagnetic and weak interactions, culminating in the discovery of the Higgs. Where particle physics has particles condensed matter has a galaxy of pseudoparticles that exist only in matter and are always in some sense special to particular states of matter. Emergent phenomena in matter are successfully modelled and analysed using quasiparticles and quantum theory. Lessons learned in that way on spontaneous symmetry breaking in superconductivity were the key to constructing a consistent quantum gauge theory of electroweak processes in particle physics.

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12

Moessner, Roderich, and Joel E. Moore. Topological Phases of Matter. Cambridge University Press, 2021.

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13

Moessner, Roderich, and Joel E. Moore. Topological Phases of Matter. University of Cambridge ESOL Examinations, 2021.

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14

Moessner, Roderich, and Joel E. Moore. Topological Phases of Matter. University of Cambridge ESOL Examinations, 2021.

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15

Sachdev, Subir. Quantum Phases of Matter. Cambridge University Press, 2023.

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16

Introduction to Topological Quantum Matter and Quantum Computation. Taylor & Francis Group, 2016.

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17

Stanescu, Tudor D. Introduction to Topological Quantum Matter and Quantum Computation. Taylor & Francis Group, 2016.

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18

Stanescu, Tudor D. Introduction to Topological Quantum Matter and Quantum Computation. Taylor & Francis Group, 2016.

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19

Stanescu, Tudor D. Introduction to Topological Quantum Matter and Quantum Computation. Taylor & Francis Group, 2016.

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20

Stanescu, Tudor D. INTRODUCTION to TOPOLOGICAL QUANTUM MATTER and QUANTUM COMPUTATION. Taylor & Francis Group, 2020.

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21

Stanescu, Tudor D. Introduction to Topological Quantum Matter and Quantum Computation. Taylor & Francis Group, 2016.

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22

Kvorning, Thomas Klein. Topological Quantum Matter: A Field Theoretical Perspective. Springer, 2018.

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23

Kvorning, Thomas Klein. Topological Quantum Matter: A Field Theoretical Perspective. Springer, 2018.

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24

Kohmoto, Mahito. Quantum Mechanical Phases and Topological Numbers in Modern Physics. Taylor & Francis Group, 2009.

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25

Kohmoto, Mahito. Quantum Mechanical Phases and Topological Numbers in Modern Physics. Taylor & Francis Group, 2009.

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26

Sethna, James P. Statistical Mechanics: Entropy, Order Parameters, and Complexity. 2nd ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.001.0001.

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This text distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, active matter, and dynamical systems. Chapters address random walks, equilibrium systems, entropy, free energies, quantum systems, calculation and computation, order parameters and topological defects, correlations and linear response theory, and abrupt and continuous phase transitions. Exercises explore the enormous range of phenomena where statistical mechanics provides essential insight — from card shuffling to how cells avoid errors when copying DNA, from the arrow of time to animal flocking behavior, from the onset of chaos to fingerprints. The text is aimed at graduates, undergraduates, and researchers in mathematics, computer science, engineering, biology, and the social sciences as well as to physicists, chemists, and astrophysicists. As such, it focuses on those issues common to all of these fields, background in quantum mechanics, thermodynamics, and advanced physics should not be needed, although scientific sophistication and interest will be important.

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27

Martín, Laura Ortiz. Topological Orders with Spins and Fermions: Quantum Phases and Computation. Springer, 2019.

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28

Martín, Laura Ortiz. Topological Orders with Spins and Fermions: Quantum Phases and Computation. Springer International Publishing AG, 2020.

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29

(Editor), S. I. Vinitsky, ed. Topological Phases in Quantum Theory: International Seminar on Geometrical Aspects of Quantum Theory. World Scientific Pub Co Inc, 1989.

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30

B, Markovski, and Vinitsky S. I, eds. Topological phases in quantum theory: 2-4 September 1988, Dubna, USSR. Singapore: World Scientific, 1989.

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31

Alase, Abhijeet. Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter. Springer International Publishing AG, 2020.

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32

Alase, Abhijeet. Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter. Springer, 2019.

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33

Vanderbilt, David. Berry Phases in Electronic Structure Theory: Electric Polarization, Orbital Magnetization and Topological Insulators. Cambridge University Press, 2018.

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34

Bohm, A. The Geometric Phase in Quantum Systems: Foundations, mathematical concepts, and applications in molecular and condensed matter physics. 2009.

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35

(Editor), Valerie V. Dvoeglazov, ed. Process Physics: From Information Theory To Quantum Space And Matter (Contemporary Fundamental Physics). Nova Science Publishers, 2005.

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36

El-Batanouny, Michael. Advanced Quantum Condensed Matter Physics: One-Body, Many-Body, and Topological Perspectives. University of Cambridge ESOL Examinations, 2020.

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37

Topological aspects of condensed matter physics : École de Physique des Houches, Session CIII, 4-29 August 2014. Oxford, 2017.

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38

Agarwala, Adhip. Excursions in Ill-Condensed Quantum Matter: From Amorphous Topological Insulators to Fractional Spins. Springer, 2019.

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39

Agarwala, Adhip. Excursions in Ill-Condensed Quantum Matter: From Amorphous Topological Insulators to Fractional Spins. Springer International Publishing AG, 2020.

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40

Murakami, S., and T. Yokoyama. Quantum spin Hall effect and topological insulators. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198787075.003.0017.

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This chapter begins with a description of quantum spin Hall systems, or topological insulators, which embody a new quantum state of matter theoretically proposed in 2005 and experimentally observed later on using various methods. Topological insulators can be realized in both two dimensions (2D) and in three dimensions (3D), and are nonmagnetic insulators in the bulk that possess gapless edge states (2D) or surface states (3D). These edge/surface states carry pure spin current and are sometimes called helical. The novel property for these edge/surface states is that they originate from bulk topological order, and are robust against nonmagnetic disorder. The following sections then explain how topological insulators are related to other spin-transport phenomena.

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41

Morandi, Giuseppe. Quantum Hall Effect: Topological Problems in Condensed-Matter Physics (Monographs and Textbooks in Physical Science Lecture Notes). Humanities Pr, 1989.

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42

Kachelriess, Michael. Quantum Fields. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.001.0001.

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This book introduces quantum field theory, together with its most important applications to cosmology and astroparticle physics, in a coherent framework. The path-integral approach is employed right from the start, and the use of Green functions and generating functionals is illustrated first in quantum mechanics and then in scalar field theory. Massless spin one and two fields are discussed on an equal footing, and gravity is presented as a gauge theory in close analogy with the Yang–Mills case. Concepts relevant to modern research such as helicity methods, effective theories, decoupling, or the stability of the electroweak vacuum are introduced. Various applications such as topological defects, dark matter, baryogenesis, processes in external gravitational fields, inflation and black holes help students to bridge the gap between undergraduate courses and the research literature.

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43

Li, Y. Y., and J. F. Jia. Topological Superconductors and Majorana Fermions. Edited by A. V. Narlikar. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198738169.013.6.

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This article discusses recent developments relating to the so-called topological superconductors (TSCs), which have a full pairing gap in the bulk and gapless surface states consisting of Majorana fermions (MFs). It first provides a background on topological superconductivity as a novel quantum state of matter before turning to topological insulators (TIs) and superconducting heterostructures, with particular emphasis on the vortices of such materials and the Majorana mode within a vortex. It also considers proposals for realizing TSCs by proximity effects through TI/SC heterostructures as well as experimental efforts to fabricate artificial TSCs using nanowires, superconducting junctions, and ferromagnetic atomic chains on superconductors.

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44

Nitzan, Abraham. Chemical Dynamics in Condensed Phases. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198529798.001.0001.

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This text provides a uniform and consistent approach to diversified problems encountered in the study of dynamical processes in condensed phase molecular systems. Given the broad interdisciplinary aspect of this subject, the book focuses on three themes: coverage of needed background material, in-depth introduction of methodologies, and analysis of several key applications. The uniform approach and common language used in all discussions help to develop general understanding and insight on condensed phases chemical dynamics. The applications discussed are among the most fundamental processes that underlie physical, chemical and biological phenomena in complex systems. The first part of the book starts with a general review of basic mathematical and physical methods (Chapter 1) and a few introductory chapters on quantum dynamics (Chapter 2), interaction of radiation and matter (Chapter 3) and basic properties of solids (chapter 4) and liquids (Chapter 5). In the second part the text embarks on a broad coverage of the main methodological approaches. The central role of classical and quantum time correlation functions is emphasized in Chapter 6. The presentation of dynamical phenomena in complex systems as stochastic processes is discussed in Chapters 7 and 8. The basic theory of quantum relaxation phenomena is developed in Chapter 9, and carried on in Chapter 10 which introduces the density operator, its quantum evolution in Liouville space, and the concept of reduced equation of motions. The methodological part concludes with a discussion of linear response theory in Chapter 11, and of the spin-boson model in chapter 12. The third part of the book applies the methodologies introduced earlier to several fundamental processes that underlie much of the dynamical behaviour of condensed phase molecular systems. Vibrational relaxation and vibrational energy transfer (Chapter 13), Barrier crossing and diffusion controlled reactions (Chapter 14), solvation dynamics (Chapter 15), electron transfer in bulk solvents (Chapter 16) and at electrodes/electrolyte and metal/molecule/metal junctions (Chapter 17), and several processes pertaining to molecular spectroscopy in condensed phases (Chapter 18) are the main subjects discussed in this part.

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45

Henriksen, Niels E., and Flemming Y. Hansen. Theories of Molecular Reaction Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.001.0001.

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This book deals with a central topic at the interface of chemistry and physics—the understanding of how the transformation of matter takes place at the atomic level. Building on the laws of physics, the book focuses on the theoretical framework for predicting the outcome of chemical reactions. The style is highly systematic with attention to basic concepts and clarity of presentation. Molecular reaction dynamics is about the detailed atomic-level description of chemical reactions. Based on quantum mechanics and statistical mechanics or, as an approximation, classical mechanics, the dynamics of uni- and bimolecular elementary reactions are described. The first part of the book is on gas-phase dynamics and it features a detailed presentation of reaction cross-sections and their relation to a quasi-classical as well as a quantum mechanical description of the reaction dynamics on a potential energy surface. Direct approaches to the calculation of the rate constant that bypasses the detailed state-to-state reaction cross-sections are presented, including transition-state theory, which plays an important role in practice. The second part gives a comprehensive discussion of basic theories of reaction dynamics in condensed phases, including Kramers and Grote–Hynes theory for dynamical solvent effects. Examples and end-of-chapter problems are included in order to illustrate the theory and its connection to chemical problems. The book has ten appendices with useful details, for example, on adiabatic and non-adiabatic electron-nuclear dynamics, statistical mechanics including the Boltzmann distribution, quantum mechanics, stochastic dynamics and various coordinate transformations including normal-mode and Jacobi coordinates.

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