Fractionalization of Particles in Physics: Invertible Topological Phases of Matter

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Christopher Mudry (Professor, Paul Scherrer Institute, Villigen, Switzerland) Claudio Chamon (Dr, Boston University)

Fractionalization of Particles in Physics

Invertible Topological Phases of Matter

Christopher Mudry (Professor, Paul Scherrer Institute, Villigen, Switzerland), Claudio Chamon (Dr, Boston University)

$163.95

Hardback

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English

Cambridge University Press
23 January 2025

Condensed matter physics (liquid state & solid state physics)

This book explores the fractionalization of particles in physics, how interactions between individual particles and with their background can modify their fundamental quantum states. Covering a large breadth of topics with an example-driven approach, this comprehensive text explains why phases of matter must be described in terms of both symmetries and their topology. The majority of important results are derived in full with explanations provided, while exercises at the end of each section allow readers to extend and develop their understanding of key topics. The first part presents polyacetylene as the paradigmatic material in which electric charge can be fractionalized, while the second part introduces the notion of invertible topological phases of matter. The final part is devoted to the 'ten-fold way', a classification of topological insulators or superconductors. The text requires a solid understanding of quantum mechanics and is a valuable resource for graduate students and researchers in physics.

By: Christopher Mudry (Professor Paul Scherrer Institute Villigen Switzerland), Claudio Chamon (Dr, Boston University)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 250mm, Width: 175mm, Spine: 47mm
Weight: 1.706kg
ISBN: 9781107009547
ISBN 10: 1107009545
Pages: 907
Publication Date: 23 January 2025
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

Preface; Acknowledgments; 1. Introduction and overview; 2. Modeling polyacetylene; 3. Fractionalization in polyacetylene; 4. Sharpness of the fractional charge; 5. From spin-1/2 cluster c chains to Majorana c chains; 6. The Lieb-Schultz-Mattis theorem; 7. Fractionalization in quantum wires; 8. The tenfold way: Gapped phases in any dimensions.

Christopher Mudry is Head of the Condensed Matter Theory Group at the Paul-Scherrer Institute. He earned his Ph.D. in theoretical physics from the University of Illinois at Urbana-Champaign and his research is focused on condensed condensed matter physics. Claudio Chamon is Professor of Physics at Boston University. He earned his Ph.D. in Physics from MIT and his research interests are in condensed matter physics and in quantum and classical computation.

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Fractionalization of Particles in Physics

Invertible Topological Phases of Matter

Christopher Mudry (Professor, Paul Scherrer Institute, Villigen, Switzerland), Claudio Chamon (Dr, Boston University)

$163.95

Hardback

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