Supersymmetry in disorder and chaos

By: Efetov, KonstantinMaterial type: TextTextPublication details: Cambridge, U.K.: Cambridge University Press, [c1999]Description: 458 pISBN: 9780521663823LOC classification: QC174.17.S9
Contents:
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.
Summary: 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.---summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Physics Rack No 10 QC174.17.S9 (Browse shelf (Opens below)) Available Billno:96020; Billdate: 2016-12-07 00529
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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.

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.---summary provided by publisher

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