# Statistical Mechanics and Applications in Condensed Matter

Cambridge University Press

Edition: Illustrated, 8/27/2015

EAN 9781107039407, ISBN10: 1107039401

Hardcover, 544 pages, 25.4 x 19.8 x 2.8 cm

Language: English

This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research. Written by internationally renowned experts and logically structured to cater for undergraduate and postgraduate students and researchers, it covers the underlying theoretical principles and includes numerous problems and worked examples to put this knowledge into practice. Three main streams provide a framework for the book; beginning with thermodynamics and classical statistical mechanics, including mean field approximation, fluctuations and the renormalization group approach to critical phenomena. The authors then examine quantum statistical mechanics, covering key topics such as normal Fermi and Luttinger liquids, superfluidity and superconductivity. Finally, they explore classical and quantum kinetics, Anderson localization and quantum interference, and disordered Fermi liquids. Unique in providing a bridge between thermodynamics and advanced topics in condensed matter, this textbook is an invaluable resource to all students of physics.

Preface

1. Thermodynamics

a brief overview

2. Kinetics

3. From Boltzmann to Gibbs

4. More ensembles

5. The thermodynamic limit and its thermodynamic stability

6. Density matrix and quantum statistical mechanics

7. The quantum gases

8. Mean-field theories and critical phenomena

9. Second quantization and HartreeÃ¢â‚¬â€œFock approximation

10. Linear response and fluctuation-dissipation theorem in quantum systems

equilibrium and small deviations

11. Brownian motion and transport in disordered systems

12. Fermi liquids

13. The Landau theory of the second order phase transitions

14. The Landau-Wilson model for critical phenomena

15. Superfluidity and superconductivity

16. The scaling theory

17. The renormalization group approach

18. Thermal Green functions

19. The microscopic foundations of Fermi liquids

20. The Luttinger liquid

21. Quantum interference effects in disordered electron systems

Appendix A. The central limit theorem

Appendix B. Some useful properties of the Euler Gamma function

Appendix C. Proof of the second theorem of Yang and Lee

Appendix D. The most probable distribution for the quantum gases

Appendix E. FermiÃ¢â‚¬â€œDirac and BoseÃ¢â‚¬â€œEinstein integrals

Appendix F. The Fermi gas in a uniform magnetic field

Landau diamagnetism

Appendix G. Ising and gas-lattice models

Appendix H. Sum over discrete Matsubara frequencies

Appendix I. Hydrodynamics of the two-fluid model of superfluidity

Appendix J. The Cooper problem in the theory of superconductivity

Appendix K. Superconductive fluctuations phenomena

Appendix L. Diagrammatic aspects of the exact solution of the Tomonaga Luttinger model

Appendix M. Details on the theory of the disordered Fermi liquid

References

Author index

Index.