Adhip Agarwala Agarwala Excursions in Ill-Condensed Quantum Matter

Excursions in Ill-Condensed Quantum Matter

von Adhip Agarwala

From Amorphous Topological Insulators to Fractional Spins

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Beschreibung

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.



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.



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

Autor*in

Adhip Agarwala

Themen in »Excursions in Ill-Condensed Quantum Matter«

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

Stimmen zu »Excursions in Ill-Condensed Quantum Matter«

Details

ISBN: 9783030215132
Verlag: Springer International Publishing
Erscheinung: 15.08.2020

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