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.

‘… 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 Source: 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 Source: zbMATH