This modern text describes the exciting developments in many-particle quantum entanglement in matter. Its unified and pedagogical treatment of the topic makes it ideal for graduate students and researchers working in condensed matter physics, particle physics, and mathematical physics.
This modern text describes the exciting developments in many-particle quantum entanglement in matter. Its unified and pedagogical treatment of the topic makes it ideal for graduate students and researchers working in condensed matter physics, particle physics, and mathematical physics.
Subir Sachdev is the Herchel Smith Professor of Physics at Harvard University. He has also held professional positions at Bell Labs and Yale University. He has been elected to national academies of science in India and the US and is a recipient of several prestigious awards, including the Dirac Medal from the International Centre for Theoretical Physics, and the Lars Onsager Prize from the American Physical Society.
Inhaltsangabe
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.
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.
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