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Topological Quantum Matter

A Field Theoretical Perspective

  • Book
  • © 2018

Overview

Authors:
  1. Thomas Klein Kvorning

    1. Department of theoretical physics, Royal Institute of Technology, Stockholm, Sweden

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  • Nominated as an outstanding Ph.D. thesis by the Stockholm University, Sweden
  • Focusses on topological superconductors and topological insulators
  • Presents formulations of topological order in modern mathematical language

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Thomas Klein Kvorning
    Pages 1-11

  3. Anyons and Topological Order

    • Thomas Klein Kvorning
    Pages 13-33

  4. Response Theory and Symmetry Protected Topological Phases

    • Thomas Klein Kvorning
    Pages 35-50

  5. Topological Geometric Response and Topological Order of Super Conductors

    • Thomas Klein Kvorning
    Pages 51-67

  6. Back Matter

    Pages 69-81
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Keywords

About this book

This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.

Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter.

The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.

 

Authors and Affiliations

  • Department of theoretical physics, Royal Institute of Technology, Stockholm, Sweden

    Thomas Klein Kvorning

Bibliographic Information

  • Book Title: Topological Quantum Matter

  • Book Subtitle: A Field Theoretical Perspective

  • Authors: Thomas Klein Kvorning

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-96764-6

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-96763-9Published: 22 August 2018

  • Softcover ISBN: 978-3-030-07246-9Published: 13 December 2018

  • eBook ISBN: 978-3-319-96764-6Published: 12 August 2018

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: X, 81

  • Number of Illustrations: 18 b/w illustrations, 6 illustrations in colour

  • Topics: Solid State Physics, Strongly Correlated Systems, Superconductivity, Mathematical Methods in Physics

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