Quantum Theory of Materials

An accessible overview of the concepts and tools essential to the physics of materials, with applications, exercises, and color figures.

Efthimios Kaxiras (Author), John D. Joannopoulos (Author)

9780521117111, Cambridge University Press

Hardback, published 6 June 2019

674 pages, 242 colour illus. 45 tables 125 exercises
25.3 x 19.7 x 3.5 cm, 1.62 kg

'Written by two leaders in the field … the book features a clear exposition of solid- state physics' fundamental theoretical principles, an excellent account of modern computational approaches and applications, and a first- rate introduction to modern topological concepts and their role in shaping the dynamics of Bloch electrons. Because of the authors' clarity, focus on basic principles, and thoughtful choice of examples, Quantum Theory of Materials serves as a top-notch introduction to solid-state physics not only for physicists but also for chemists, engineers, and materials scientists.' Roberto Car, Princeton University

This accessible new text introduces the theoretical concepts and tools essential for graduate-level courses on the physics of materials in condensed matter physics, physical chemistry, materials science and engineering, and chemical engineering. Topics covered range from fundamentals such as crystal periodicity and symmetry, and derivation of single-particle equations, to modern additions including graphene, two-dimensional solids, carbon nanotubes, topological states, and Hall physics. Advanced topics such as phonon interactions with phonons, photons and electrons, and magnetism, are presented in an accessible way, and a set of appendices reviewing crucial fundamental physics and mathematical tools makes this text suitable for students from a range of backgrounds. Students will benefit from the emphasis on translating theory into practice, with worked examples explaining experimental observations, applications illustrating how theoretical concepts can be applied to real research problems, and 242 informative full color illustrations. End-of chapter exercises are included for homework and self-study, with solutions and lecture slides for instructors available online.

1. From atoms to solids
2. Electrons in crystals: translational periodicity
3. Symmetries beyond translational periodicity
4. From many-particles to the single-particle picture
5. Electronic properties of crystals
6. Electronic excitations
7. Lattice vibrations and deformations
8. Phonon interactions
9. Dynamics and topological constraints
10. Magnetic behavior of solids
Appendix A: mathematical tools
Appendix B: classical electrodynamics
Appendix C: quantum mechanics
Appendix D: thermodynamics and statistical mechanics.

Subject Areas: Materials science [TGM], Mechanical engineering & materials [TG], Physical chemistry [PNR], Quantum physics [quantum mechanics & quantum field theory PHQ], Condensed matter physics [liquid state & solid state physics PHFC]