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7 - Fractionalization in Quantum Wires

Published online by Cambridge University Press:  09 January 2025

Christopher Mudry  and
Claudio Chamon
Christopher Mudry
Affiliation:
Paul Scherrer Institute, Villigen, Switzerland
Claudio Chamon
Affiliation:
Boston University
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Summary

Chapter 7 opens with the description of superconductivity in terms of Bogoliubov–de-Gennes Hamiltonians. The 10-fold way in terms of the Altland–Zirnbauer symmetry classes is applied to random matrix theory and two disordered quantum wires. The chapter closes with the 10-fold way for the gapped phases of quantum wires.

Keywords

Bogoliubov–de-Gennes Hamiltonians. Altland–Zirnbauer symmetry classes10-fold way in random matrix theoryAnderson localizationDorokhov–Mello–Pereyra–Kumar equation
Type
Chapter
Information
Fractionalization of Particles in Physics
Invertible Topological Phases of Matter
 , pp. 516 - 744
Publisher: Cambridge University Press
Print publication year: 2025

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