Preliminaries -- Electrons and band theory : formalism in the one-electron approximation -- Electrons and band theory : methods of energy-band calculations -- Electrons and band theory : effects of spin-orbit interactions -- Linear response and the dielectric function -- Phonons and lattice dynamics -- Dimensionality, susceptibility, and instabilities -- Topological aspects of condensed matter physics : a historical perspective -- Topological preliminaries -- Berry-ology -- Topological aspects of insulator band structure and early discoveries -- Dirac materials and Dirac fermions -- Many-body physics and second quantization -- The interacting electron gas -- Green functions for many-body systems and Feynman diagrams -- Path integrals -- Boson systems : Bose-Einstein condensation and superfluidity -- Landau Fermi liquid theory -- Non-Fermi liquids, the Luttinger liquid, and Bosonization -- Electron-phonon interactions -- Microscopic theory of conventional superconductivity -- Quantum theory of magnetism : exchange coupling mechanisms -- Quantum theory of magnetism : magnetic insulator ground states and spin-wave excitations -- Quantum theory of magnetism : itinerant-electron systems and the Kondo effect.
Summary:
"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"-- Provided by publisher.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.