Advanced Quantum Condensed Matter Physics

Michael El-Batanouny is a Professor of Physics at Boston University. He is the author of Symmetry and Condensed Matter Physics: A computational approach (Cambridge, 2008). His research area is in surface physics, where he has an international reputation in the topics of nonlinear surface physics, surface dynamics, surface magnetism, and more recently, in topological aspects of surfaces, especially in electron-phonon related phenomena.

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.