Quantum Transport in Mesoscopic Systems Complexity and Statistical Fluctuations 4 Mesoscopic Physics and Nanotechnology

This book presents the statistical theory of complex wave scattering and quantum transport in physical systems which have chaotic classical dynamics as in the case of microwave cavities and quantum dots or which possess quenched randomness as in the case of disordered conductors - with an emphasis on mesoscopic fluctuations. The statistical regularity of the phenomena is revealed in a natural way by adopting a novel maximum-entropy approach. Shannon's information entropy is maximised subject to the symmetries and constraints which are physically relevant within the powerful and non-perturbative theory of random matrices; this is a most distinctive feature of the book. Aiming for a self-contained presentation the quantum theory of scattering set in the context of quasi-one-dimensional multichannel systems and related directly to scattering problems in mesoscopic physics is introduced in chapters two and three. The linear-response theory of quantum electronic transport adapted to the context of mesoscopic systems is discussed in chapter four. These chapters together with chapter five on the maximum-entropy approach and chapter eight on weak localization have been written in a most pedagogical style suitable for use on graduate courses. In chapters six and seven the problem of electronic transport through classically chaotic cavities and quasi-one-dimensional disordered systems is discussed. Many exercises are included most of which are worked through in detail aiding graduate students teachers and research scholars interested in the subject of quantum transport through disordered and chaotic systems.

Alternative names:

• ISBN Quantum Transport in Mesoscopic Systems ( Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint ) book English Paperback 416 pages