Supersymmetry in Disorder and Chaos by Konstantin Efetov (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review ‘Efetov has done a service to condensed matter physics by explaining the ins and outs of his method in a clear and comprehensive monograph. It is likely to become a classic in the field. The book is indispensible for researchers who use or who would like to use the supersymmetry technique … I would recommend it to anyone with an interest in modern techniques of theoretical physics.’ C. W. J. Beenakker, Endeavour’… a clear, readable and comprehensive introduction to this application of supersymmetry.’ I. D. Lawrie, Contemporary Physics Book Description This book provides a comprehensive treatment of the ideas and applications of supersymmetry.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐If you want to be a physicist and work in condensed matter theory then probably it is a good idea to have this book. In my knowledge this book is the only one, which discuss application of Supersymmetry method in condensed matter physics and author does it superbly. Second chapter, which deals with Supermathematics, is very nice and clear you will easily comprehend things about Grassmann variables and all other stuff about super elements (vectors, matrices ext). Reading this chapter doesn’t take much time and really no preliminary knowledge is required. Chapter 3 “Diffusion modes” which discuss localization, interference, is also very clear and physical. Fun starts from Chapter 4 and 5. These chapters are the most important because Nonlinear Sigma Model is constructed. But at the same time these chapters are very challenging, some times, and actually the most of the time, it is very difficult to follow the calculations. I don’t have good advice, which can help in reading these chapters the most important is not to give up. Usually it takes whole summer of intensive study. But if you will be able to pass through all derivations I think that the doors to the world of amazingly interesting physics is now open for you. Rest chapters are applications of supersymmetry in different branches of condensed matter physics. In overall I can say that this book is very difficult but at the same time extremely interesting.

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