Quantum Phases of Matter

ISBN-13: 9781009212694 / Twarda / 2023 / 450 str.

Massachusetts) Sachdev Subir (Harvard University

Opis

An accessible and self-contained treatment of quantum many-body theory, suitable for graduate students and researchers.

Recenzje

'Quantum Phases of Matter is a must-read magnum opus from the leading expert, revealing his deep insights and wonderfully complementing Quantum Phase Transitions, which has been the best reference on the subject since publication. This new book skilfully takes the reader on an exhilarating, yet pedagogical tour of quantum condensed matter, from the basic to the most advanced frontier topics of current research. Theorists - from students to faculty - will be eager to dig into this masterpiece, to learn the secrets of the trade from its master.' Leo Radzihovsky, University of Colorado, Boulder

Spis treści

Preface; 1. Survey of experiments; Part I: Background: 2. Fermi liquid theory; 3. Dilute Bose gas; 4. BCS theory of superconductivity; 5. Broken symmetry and superfluidity; 6. Landau–Ginzburg theory; 7. Vortices in superfluids; 8. Boson Hubbard model; 9. Electron Hubbard model; 10. Relativistic scalar field: diagrams; 11. Relativistic scalar field: correlation functions; 12. Fermions and bosons; Part II. Fractionalization and Emergent Gauge Fields I: 13. Introduction to gapped spin liquids; 14. Fractionalization in the XY model in 2+1 dimensions; 15. Theory of gapped Z2 spin liquids; 16. Z2 gauge theory; 17. Chern–Simons gauge theories; Part III. Band Topology: 18. Berry phases and Chern numbers; 19. Integer quantum Hall states; 20. Topological insulators and superconductors; Part IV. Fractionalization and Emergent Gauge Fields II: 21. Parton theories; 22. The chiral spin liquid; 23. Non-Abelian Ising anyons; 24. Fractional quantum hall states; 25. Dualities of XY models and U(1) gauge theories; 26. Applications of dualities to spin liquids; 27. Boson–fermion and fermion–fermion dualities; 28. Gapless spin liquids; Part V. Correlated Metals: 29. Kondo impurity model; 30. The heavy Fermi liquid; 31. The fractionalized Fermi liquid; 32. SYK models; 33. Random quantum spin liquids and spin glasses; 34. Fermi surfaces without quasiparticles; Appendix A. coherent state path integral; Appendix B. Grassman path integral; Appendix C. From spin Berry phases to background gauge charges; Appendix D. Emergent Z2 gauge theories; References; Index.