© 2019

Excursions in Ill-Condensed Quantum Matter

From Amorphous Topological Insulators to Fractional Spins

  • 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 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


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.


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

Authors and affiliations

  1. 1.International Centre for Theoretical SciencesTata Institute of Fundamental ResearchBangaloreIndia

About the authors

​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

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