Excursions in ill-condensed quantum matter : from amorphous topological insulators to fractional spins / Adhip Agarwala.
2019
QC173.454 .A33 2019
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Title
Excursions in ill-condensed quantum matter : from amorphous topological insulators to fractional spins / Adhip Agarwala.
Author
Agarwala, Adhip, author.
ISBN
9783030215118 (electronic book)
3030215113 (electronic book)
9783030215101
3030215113 (electronic book)
9783030215101
Published
Cham, Switzerland : Springer, [2019]
Language
English
Description
1 online resource.
Other Standard Identifiers
10.1007/978-3-030-21
Call Number
QC173.454 .A33 2019
Dewey Decimal Classification
530.41
Summary
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.
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Includes bibliographical references.
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Source of Description
Description based on online resource; title from digital title page (viewed on July 23, 2019).
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Springer theses.
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Table of Contents
Introduction
Tenfold Way
Topological Insulators in Amorphous Systems
Seeking Topological Phases in Fractals
Seeking Topological Phases in Fractals
Killing the Hofstadter Butterfly
Fractional Spins and Kondo Effect
Structure of Many-Body Hamiltonians in Different Symmetry Classes
Epilogue.
Tenfold Way
Topological Insulators in Amorphous Systems
Seeking Topological Phases in Fractals
Seeking Topological Phases in Fractals
Killing the Hofstadter Butterfly
Fractional Spins and Kondo Effect
Structure of Many-Body Hamiltonians in Different Symmetry Classes
Epilogue.