Description
Book SynopsisBased on an established course, this comprehensive textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives. Discussing modern topics and containing end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.
Trade Review'… written in a very clear manner so that it can be understood by any student with a basic background in physics … the first part concentrates on basic concepts of solid state physics … such as the band theory and methods for energy-band calculations, phonons and lattice dynamics. The second part of the book is focused on topological phenomena in condensed matter-starting from a historical perspective and ending with modern aspects … such as Dirac materials and Dirac fermions. The largest part of the book deals with many-body physics, and in this context magnetism, superconductivity or Bose-Einstein condensation … useful exercises can be found at the end of each chapter, and a list of references is provided … This book is a very good guide for readers interested in modern aspects of condensed matter and a very good course of solid state physics. Therefore, a respectable physics library must have this book on its shelves.' Daniela Dragoman, Optics and Photonics News
'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
Table of ContentsPreface; 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.
