Advanced Quantum Condensed Matter Physics
One-Body, Many-Body, and Topological Perspectives

Based on an established course, this textbook on advanced quantum condensed matter physics covers one-body, many-body and topological perspectives.

Michael El-Batanouny (Author)

9781108480840, Cambridge University Press

Hardback, published 26 March 2020

834 pages, 348 b/w illus. 2 tables
25.3 x 18.1 x 4.1 cm, 1.75 kg

'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

Condensed matter physics has fast become the largest discipline within physics. Based on an established course, this comprehensive textbook covers one-body, many-body and topological perspectives. It is the first textbook that presents a comprehensive coverage of topological aspects of condensed matter as a distinct yet integrated component. It covers topological fundamentals and their connection to physics, introduces Berry phase and Chern numbers, describes general topological features of band structures and delineates its classification. Applications as manifest in the quantum Hall effect, topological insulators and Weyl semimetal are presented. Modern topics of current interest are explored in-depth, helping students prepare for cutting-edge research. These include one-electron band theory, path integrals and coherent states functional integrals as well as Green and Matsubara functions, spontaneous symmetry breaking, superfluidity and superconductivity. Multiple chapters covering quantum magnetism are also included. With end-of-chapter exercises throughout, it is ideal for graduate students studying advanced condensed matter physics.

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.

Subject Areas: Condensed matter physics [liquid state & solid state physics PHFC]