Advanced Quantum Condensed Matter Physics

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 a...

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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.

Michael El-Batanouny, Boston University

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 m...

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Michael El-Batanouny, Boston University

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
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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.
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