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

✍ Scribed by Michael El-Batanouny

• Publisher: Cambridge University Press
• Year: 2020
• Tongue: English
• Leaves: 840
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Cover
Front Matter
ADVANCED QUANTUM CONDENSED MATTER PHYSICS:
One-Body, Many-Body, and Topological Perspectives
Copyright
Dedication
Contents
Preface
Part One:

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 Two:

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 Three:

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
Ground States and Spin-Wave Excitations
24 Quantum Theory of Magnetism: Itinerant-Electron
Systems and the Kondo Effect
References
Index