Supersymmetry in Disorder and Chaos

This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Konstantin Efetov (Author)

9780521663823, Cambridge University Press

Paperback, published 13 September 1999

458 pages
25.4 x 17.8 x 2.3 cm, 0.79 kg

'… a clear, readable and comprehensive introduction to this application of supersymmetry.' I. D. Lawrie, Contemporary Physics

The development of the supersymmetry technique has led to significant advances in the study of disordered metals and semiconductors. The technique has proved to be of great use in the analysis of modern mesoscopic quantum devices, but is also finding applications in a broad range of other topics, such as localization and quantum chaos. This book provides a comprehensive treatment of the ideas and uses of supersymmetry. The first four chapters of the book set out the basic results and some straightforward applications of the technique. Thereafter, a range of topics is covered in detail, including random matrix theory, persistent currents in mesoscopic rings, transport in mesoscopic devices, localization in quantum wires and films, and the quantum Hall effect. Each topic is covered in a self-contained manner, and the book will be of great interest to graduate students and researchers in condensed matter physics and quantum chaos.

1. Introduction
2. Supermathematics
3. Diffusion modes
4. Nonlinear supermatrix ?- model
5. Perturbation theory and renormalization group
6. Energy level statistics
7. Quantum size effects in small metal particles
8. Persistent currents in mesoscopic rings
9. Transport through mesoscopic devices
10. Universal parametric correlations
11. Localization in systems with one-dimensional geometry
12. Anderson metal-insulator transition
13. Disorder in two dimensions
14. Afterword.

Subject Areas: Condensed matter physics [liquid state & solid state physics PHFC]