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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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4

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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5

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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6

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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10

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

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11

Condensed matter physics. New York: John Wiley, 2000.

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12

Isihara, A. Condensed matter physics. New York: Oxford University Press, 1991.

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13

Silverman, Buffy. State of confusion. Chicago, Ill: Raintree, 2007.

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14

Blümich, Bernhard, ed. Solid-State NMR III Organic Matter. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-61223-7.

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15

United States. Bureau of the Census., ed. Recessions matter for State tax collections. [Washington, D.C.?: U.S. Dept. of Commerce, Economics and Statistics Administration, Bureau of the Census, 1993.

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16

W, Kolb Edward, Lee Kimyeong, Fermi National Accelerator Laboratory, and United States. National Aeronautics and Space Administration., eds. Ground state of high-density matter. Batavia, IL: Fermi National Accelerator Laboratory, 1988.

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17

United States. Bureau of the Census, ed. Recessions matter for State tax collections. [Washington, D.C: U.S. Dept. of Commerce, Economics and Statistics Administration, Bureau of the Census, 1993.

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18

Topological Insulators. Elsevier, 2013.

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19

Topological Insulators. Elsevier, 2013.

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20

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matter. Springer, 2017.

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21

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matter. Springer, 2018.

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22

Shen, Shun-Qing. Topological Insulators: Dirac Equation in Condensed Matters. Springer, 2015.

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23

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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24

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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25

Bercioux, Dario, Jérôme Cayssol, Maia G. Vergniory, and M. Reyes Calvo. Topological Matter: Lectures from the Topological Matter School 2017. Springer, 2019.

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26

Bercioux, Dario, Jérôme Cayssol, Maia G. Vergniory, and M. Reyes Calvo. Topological Matter: Lectures from the Topological Matter School 2017. Springer, 2018.

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27

Serra, Francesca, Uroš Tkalec, and Teresa Lopez-Leon, eds. Topological Soft Matter. Frontiers Media SA, 2020. http://dx.doi.org/10.3389/978-2-88966-145-9.

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28

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

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29

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

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30

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

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31

Chamon, Claudio, Mark O. Goerbig, Roderich Moessner, and Leticia F. Cugliandolo, eds. Topological Aspects of Condensed Matter Physics. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780198785781.001.0001.

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32

Sha, Xin Wei. Poiesis and Enchantment in Topological Matter. The MIT Press, 2013. http://dx.doi.org/10.7551/mitpress/9780262019514.001.0001.

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33

Plotnitsky, Arkady, and Xin Wei Sha. Poiesis and Enchantment in Topological Matter. MIT Press, 2013.

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34

Plotnitsky, Arkady, and Xin Wei Sha. Poiesis and Enchantment in Topological Matter. MIT Press, 2013.

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35

Poiesis And Enchantment In Topological Matter. MIT Press Ltd, 2013.

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36

Plotnitsky, Arkady, and Xin Wei Sha. Poiesis and Enchantment in Topological Matter. MIT Press, 2013.

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37

Topological insulators and topological superconductors. Princeton, 2013.

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38

Bernevig, B. Andrei, and Taylor L. Hughes. Topological Insulators and Topological Superconductors. Princeton University Press, 2013.

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39

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

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40

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

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41

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

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42

Isobe, Hiroki. Theoretical Study on Correlation Effects in Topological Matter. Springer, 2017.

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43

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

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44

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

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45

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

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46

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

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47

Isobe, Hiroki. Theoretical Study on Correlation Effects in Topological Matter. Springer, 2017.

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48

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

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49

Isobe, Hiroki. Theoretical Study on Correlation Effects in Topological Matter. Springer, 2018.

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50

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

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