Sachdev, Subir,
Quantum phases of matter - Cambridge, U.K.: Cambridge University Press, [c2023] - 450 p
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.
"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"---summary provided by publisher.
9781009212694
2022043286
Condensed matter
QC173.454
Quantum phases of matter - Cambridge, U.K.: Cambridge University Press, [c2023] - 450 p
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.
"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"---summary provided by publisher.
9781009212694
2022043286
Condensed matter
QC173.454