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Excursions in Ill-Condensed Quantum Matter

From Amorphous Topological Insulators to Fractional Spins

Authors:

  • Nominated as an outstanding Ph.D. thesis by the Indian Institute of Science, Bangalore, India
  • Quick and easy introduction to topological phases, disorder physics and the Kondo effect
  • Detailed discussion and derivation of tenfold way of free fermion symmetry classification with explicit examples

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Introduction

    • Adhip Agarwala
    Pages 1-31
  3. Tenfold Way

    • Adhip Agarwala
    Pages 33-59
  4. Topological Insulators in Amorphous Systems

    • Adhip Agarwala
    Pages 61-79
  5. Seeking Topological Phases in Fractals

    • Adhip Agarwala
    Pages 81-92
  6. Killing the Hofstadter Butterfly

    • Adhip Agarwala
    Pages 93-108
  7. Fractional Spins and Kondo Effect

    • Adhip Agarwala
    Pages 109-123
  8. Epilogue

    • Adhip Agarwala
    Pages 153-157
  9. Back Matter

    Pages 159-163

About this book

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.


Authors and Affiliations

  • International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India

    Adhip Agarwala

About the author

​A physics major from Hindu College, University of Delhi and a Masters in Physics from Indian Institute of Technology (Delhi),  Adhip Agarwala pursued his PhD from Department of Physics, Indian Institute of Science, Bangalore (India). Currently, he is a postdoctoral researcher based at the International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore. He works in the field of theoretical quantum condensed matter with focus on topological systems, strongly correlated materials and driven systems. 

Bibliographic Information

  • Book Title: Excursions in Ill-Condensed Quantum Matter

  • Book Subtitle: From Amorphous Topological Insulators to Fractional Spins

  • Authors: Adhip Agarwala

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-030-21511-8

  • Publisher: Springer Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-21510-1Published: 25 June 2019

  • Softcover ISBN: 978-3-030-21513-2Published: 15 August 2020

  • eBook ISBN: 978-3-030-21511-8Published: 13 June 2019

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XXIII, 163

  • Number of Illustrations: 10 b/w illustrations, 49 illustrations in colour

  • Topics: Solid State Physics, Theoretical, Mathematical and Computational Physics, Magnetism, Magnetic Materials

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access