Supersymmetry in Disorder and Chaos

ISBN-13: 9780521663823 / Angielski / Miękka / 1999 / 458 str.

Konstantin Efetov

Opis

The development of the supersymmetry technique has led to significant advances in the study of disordered metals and semiconductors. Proven of great use in the analysis of modern mesoscopic quantum devices, the technique has also found applications in other areas, such as localization and quantum chaos. This volume provides comprehensive treatment of the ideas and uses of supersymmetry. The first four chapters set out the basic results and some straightforward applications of the technique. Thereafter, Professor Efetov covers a range of topics 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. Special features include problems and solutions drawn from mesoscopics, localization, and quantum chaos, and extended introductions that make each chapter self-contained. The text will be of great interest to graduate students and researchers in condensed matter, statistical, and mathematical physics and in quantum chaos.

Recenzje

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

Spis treści

1. Introduction; 2. Supermathematics; 3. Diffusion modes; 4. Nonlinear supermatrix σ- 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.