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

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 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.