Quantum Transport in Mesoscopic Systems

Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

Narendra Kumar author Pier A Mello author

Format:Paperback

Publisher:Oxford University Press

Published:29th Jul '10

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Quantum Transport in Mesoscopic Systems cover

The aim of this book is to present a statistical theory of wave scattering by complex systems -systems which have a chaotic classical dynamics, as in the case of microwave cavities and quantum dots, or possess quenched randomness, as in the case of disordered conductors-- with emphasis on mesoscopic fluctuations. The universal character of the statistical behavior of these phenomena is incorporated in a natural way by approaching the problem from a Maximum-Entropy viewpoint -Shannon's information entropy is maximized, subject to the symmetries and constraints that are physically relevant-- within the powerful, non-perturbative Theory of Random Matrices. This is a distinctive feature of the present book that greatly motivated our writing it. Another reason is that it collects in one place the material and notions -derived from the published work of the authors in collaboration with several co-workers, as well as from the work of others-- which are scattered through research journals and textbooks on the subject. To make the book self-contained, we present in Chapters 2 and 3 the quantum theory of scattering, set in the context of quasi-one-dimensional, multichannel systems, thus related directly to scattering problems in mesoscopic physics. Chapter 4 discusses the linear-response theory of quantum electronic transport, adapted to the context of mesoscopic systems. These chapters, together with Chapter 5 on the Maximum-Entropy Approach and Chapter 8 on weak localization, have been written in a pedagogical style, and can be used as part of a graduate course. Chapters 6 and 7 discuss the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems. There are many exercises, most of them worked out in detail, distributed throughout the book. This should help graduate students, their teachers and the research scholars interested generally in the subject of quantum transport through disordered and chaotic systems in their preparation for it, and beyond.

`Its great strength is that it provides a consistent, systematic introduction to the major ideas of the field and includes a lot of related material that provides important intellectual context. ' Allan MacDonald, University of Texas at Austin
`A most important and timely topic. [...] There are other books, but not at the same level of depth. ' John Spence, Arizona State University

ISBN: 9780198525837

Dimensions: 234mm x 158mm x 21mm

Weight: 583g

418 pages