Quantum Field Theory Approach to Condensed Matter Physics
Cambridge University Press, 9/28/2017
EAN 9781107074118, ISBN10: 1107074118
Hardcover, 548 pages, 25.3 x 17.8 x 2.7 cm
Language: English
A balanced combination of introductory and advanced topics provides a new and unique perspective on the quantum field theory approach to condensed matter physics. Beginning with the basics of these subjects, such as static and vibrating lattices, independent and interacting electrons, the functional formulation for fields and different generating functionals and their roles, this book presents a unified viewpoint illustrating the connections and relationships among various physical concepts and mechanisms. Advanced and newer topics bring the book up to date with current developments and include sections on cuprate and pnictide superconductors, graphene, Weyl semimetals, transition metal dichalcogenides and topological insulators. Finally, well-known subjects such as the quantum Hall effect, superconductivity, Mott and Anderson insulators, and the Anderson–Higgs mechanism are examined within a unifying QFT-CMP approach. Presenting new insights on traditional topics, this text allows graduate students and researchers to master the proper theoretical tools required in a variety of condensed matter physics systems.
Preface
Part I. Condensed Matter Physics
1. Independent electrons and static crystals
2. Vibrating crystals
3. Interacting electrons
4. Interactions in action
Part II. Quantum Field Theory
5. Functional formulation of quantum field theory
6. Quantum fields in action
7. Symmetries
explicit or secret
8. Classical topological excitations
9. Quantum topological excitations
10. Duality, bosonization and generalized statistics
11. Statistical transmutation
12. Pseudo quantum electrodynamics
Part III. Quantum Field Theory Approach to Condensed Matter Systems
13. Quantum field theory methods in condensed matter
14. Metals, Fermi liquids, Mott and Anderson insulators
15. The dynamics of polarons
16. Polyacetylene
17. The Kondo effect
18. Quantum magnets in 1D
Fermionization, bosonization, Coulomb gases and 'all that'
19. Quantum magnets in 2D
nonlinear sigma model, CP1 and 'all that'
20. The spin-fermion system
a quantum field theory approach
21. The spin glass
22. Quantum field theory approach to superfluidity
23. Quantum field theory approach to superconductivity
24. The cuprate high-temperature superconductors
25. The pnictides
iron based superconductors
26. The quantum Hall effect
27. Graphene
28. Silicene and transition metal dichalcogenides
29. Topological insulators
30. Non-abelian statistics and quantum computation
References
Index.