'The book is very comprehensive and deals with all areas of quantum condensed matter physics from the viewpoint of theoretical physics … I think that the book is an excellent introduction not only for condensed matter physicists but also for mathematicians who are familiar with quantum condensed matter physics.' Shuji Watanabe, zbMATH
Preface; Part I. One-Electron Theory: 1. Preliminaries; 2. Electrons and band theory: formalism in the one-electron approximation; 3. Electrons and band theory: methods of energy-band calculations; 4. Electrons and band theory: effects of spin-orbit interactions; 5. Linear response and the dielectric function; 6. Phonons and lattice dynamics; 7. Dimensionality, susceptibility and instabilities; Part II. Topological Phases: 8. Topological aspects of condensed matter physics: a historical perspective; 9. Topological preliminaries; 10. Berry-ology; 11. Topological aspects of insulator band structure and early discoveries; 12. Dirac materials and Dirac fermions; Part III. Many-Body Physics: 13. Many-body physics and second quantization; 14. The interacting electron gas; 15. Green functions for many-body systems and Feynman diagrams; 16. Path integrals; 17. Boson systems: Bose-Einstein condensation and superfluidity; 18. Landau Fermi liquid theory; 19. Non-Fermi liquids, the Luttinger liquid and bosonization; 20. Electron-Phonon interactions; 21. Microscopic theory of conventional superconductivity; 22. Quantum theory of magnetism: exchange coupling mechanisms; 23. Quantum theory of magnetism: magnetic insulator groundstates and spin-wave excitations; 24. Quantum theory of magnetism: itinerant-electron systems and Kondo effect; References; Index.