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Excursions in Ill-Condensed Quantum Matter

From Amorphous Topological Insulators to Fractional Spins

  • Adhip Agarwala
Book

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Adhip Agarwala
    Pages 1-31
  3. Adhip Agarwala
    Pages 33-59
  4. Adhip Agarwala
    Pages 61-79
  5. Adhip Agarwala
    Pages 81-92
  6. Adhip Agarwala
    Pages 93-108
  7. Adhip Agarwala
    Pages 109-123
  8. Adhip Agarwala
    Pages 153-157
  9. Back Matter
    Pages 159-163

About this book

Introduction

Impurities, disorder or amorphous systems – ill-condensed matter – are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals. The Kondo effect and the scaling theory of localization are among the fundamental and early discoveries which revealed the novelty hidden in impure or disordered systems. Recent advances in condensed matter physics have emphasized the role of topology, spin-orbit coupling, and certain discrete symmetries such as time reversal in many physical phenomena. These have irreversibly transformed the essential ideas and purview of condensed matter physics, both in theoretical and experimental directions. However, many of these recent developments and their implications are limited to, or by, ideas that pertain to clean systems. This thesis deals with various aspects of these new developments, but in the case of unclean systems. The author introduces new ideas such as amorphous topological insulators, fractalized metals and fractionalized spins.


Keywords

Tenfold Way Topological Quantum Matter Amorphous Topological Insulators Fractional Spins Kondo Effect Fractals Hofstadter Butterfly

Authors and affiliations

  • Adhip Agarwala
    • 1
  1. 1.International Centre for Theoretical SciencesTata Institute of Fundamental ResearchBangaloreIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-21511-8
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-030-21510-1
  • Online ISBN 978-3-030-21511-8
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site