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chamon c fractionalization particles physics phases matter 2025

Type:: E-books
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Size:: 74.6 MB
Uploaded On:: Jan. 11, 2025, 3:46 p.m.
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Info Hash:: C41174D4355EBC5D7899A7D285C7EC91F9936C2E

Textbook in PDF format 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. Preface. Acknowledgments. Introduction and Overview. Modeling Polyacetylene. Fractionalization in Polyacetylene. Sharpness of the Fractional Charge. From Spin-1/2 Cluster c Chains to Majorana c Chains. The Lieb-Schultz-Mattis Theorem. Fractionalization in Quantum Wires 516 The Tenfold Way: Gapped Phases in Any Dimensions 745 Appendix A Mathematical Glossary. References 873. Index

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Chamon C. Fractionalization of Particles in Physics...Phases of Matter 2025.pdf 74.6 MB

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chamon c fractionalization particles physics phases matter 2025

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