The Physics of Interacting Electrons in Disordered Systems

The Physics of Interacting Electrons in Disordered Systems PDF

Author: Hiroshi Kamimura

Publisher:

Published: 2023

Total Pages: 0

ISBN-13: 9781383023312

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The last 25 years have witnessed an enormous increase in research into the electronic properties of disordered systems. This book explores these advances by attempting to explain the remarkable effects of magnetic fields and by providing an outline of the theoretical picture.

Electron-Electron Interactions in Disordered Systems

Electron-Electron Interactions in Disordered Systems PDF

Author: A.L. Efros

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 703

ISBN-13: 044460099X

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``Electron-Electron Interactions in Disordered Systems'' deals with the interplay of disorder and the Coulomb interaction. Prominent experts give state-of-the-art reviews of the theoretical and experimental work in this field and make it clear that the interplay of the two effects is essential, especially in low-dimensional systems.

Electron Liquid in Disordered Conductors

Electron Liquid in Disordered Conductors PDF

Author: A. M. Finkel'stein

Publisher: CRC Press

Published: 1991

Total Pages: 120

ISBN-13: 9783718649907

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This volume proceeds from a description of a disordered electron liquid via effective functional or diffusion modes to a theory of interacting electrons in disordered conductors that is of the Fermi-liquid type but with renormalizable parameters. The influence of disorder on the temperature of the superconducting transition in homogeneous amorphous films is analyzed theoretically. Critical properties in the vicinity of metal-insulator transitions are discussed and spin instability is considered: the latter shows the great importance of spin fluctuation in the region of the transition.

The Physics of Interacting Electrons in Disordered Systems

The Physics of Interacting Electrons in Disordered Systems PDF

Author: Hiroshi Kamimura

Publisher:

Published: 1989

Total Pages: 280

ISBN-13:

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This book surveys advances in the study of electron behavior in systems without periodicity--one of the most fascinating areas in solid state physics. The first half of the book covers impurity bands in three dimensions, focusing on the regime in which the electrons are spatially localized, so that an interesting interplay of localization and interaction arises. The second part of the book covers the outstanding features of two-dimensional electron systems, explaining the remarkable effects of magnetic fields, including the normal and fractional quantum Hall effect. As a whole, the book draws together findings from an enormous amount of research into the electronic properties of disordered systems, while the separate chapters may be read as self-contained units.

New Horizons in Low-Dimensional Electron Systems

New Horizons in Low-Dimensional Electron Systems PDF

Author: Hideo Aoki

Publisher: Springer

Published: 2012-10-08

Total Pages: 472

ISBN-13: 9789401054072

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In Bird of Passage by Rudolf Peierls, we find a paragraph in which he de scribes his Cambridge days in the 1930s: On these [relativistic field theory] problems my main contacts were Dirac, and the younger theoreticians. These included in particular Nevill (now Sir Nevill) Mott, perhaps the friendliest among many kind and friendly people we met then. Professor Kamimura became associated with Sir Rudolf Peierls in the 1950s, when he translated, with his colleagues, Peierls's 1955 textbook, Quantum Theory of Solids, into Japanese. This edition, to which Sir Rudolf himself contributed a preface, benefitted early generations of Japanese solid state physicists. Later in 1974/5, during a sabbatical year spent at the Cavendish Laboratory, Professor Kamimura met and began a long association with Sir Nevill Mott. In particular, they developed ideas for disordered systems. One of the outcomes is a paper coauthored by them on ESR-induced variable range hopping in doped semiconductors. A series of works on disordered systems, together with those on two-dimensional systems, have served as building blocks for Physics of Interacting Electrons in Disordered Systems, in the International Series of Monographs on Physics, coauthored by Aoki and published in 1989 by the Oxford University Press. Soon after Professor Kamimura obtained a D. Sc. in 1959 for the work on the ligand field theory under the supervision ofMasao Kotani, his strong con nections in the international physical community began when he worked at the Bell Telephone Laboratories in 1961/64.

Anderson Localization and Its Ramifications

Anderson Localization and Its Ramifications PDF

Author: Tobias Brandes

Publisher: Springer Science & Business Media

Published: 2003-09-11

Total Pages: 446

ISBN-13: 9783540407850

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The phenomenon of localization of the electronic wave function in a random medium can be regarded as the key manifestation of quantum coherence in a condensed matter system. As one of the most remarkable phenomena in condensed matter physics discovered in the 20th century, the localization problem is an indispensable part of the theory of the quantum Hall effects and rivals superconductivity in its significance as a manifestation of quantum coherence at a macroscopic scale. The present volume, written by some of the leading experts in the field, is intended to highlight some of the recent progress in the field of localization, with particular emphasis on the effect of interactions on quantum coherence. The chapters are written in textbook style and should serve as a reliable and thorough introduction for advanced students or researchers already working in the field of mesoscopic physics.

The Electron Glass

The Electron Glass PDF

Author: M. Pollak

Publisher: Cambridge University Press

Published: 2013

Total Pages: 307

ISBN-13: 0521195527

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Presenting an up-to-date report on electronic glasses for researchers in condensed matter physics.

The physics of disordered systems

The physics of disordered systems PDF

Author: Gautam I Menon

Publisher: Springer

Published: 2012-03-15

Total Pages: 185

ISBN-13: 9386279517

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Disordered systems are ubiquitous in nature and their study remains a profound and challenging subject of current research. Ideas and methods from the physics of Disordered systems have been fruitfully applied to several fields ranging from computer science to neuroscience. This book contains a selection of lectures delivered at the 'SERC School on Disordered Systems', spanning topics from classic results to frontier areas of research in this field. Spin glasses, disordered Ising models, quantum disordered systems, structural glasses, dilute magnets, interfaces in random field systems and disordered vortex systems are among the topics discussed in the text, in chapters authored by active researchers in the field, including Bikas Chakrabarti, Arnab Das, Deepak Kumar, Gautam Menon, G. Ravikumar, Purusattam Ray, Srikanth Sastry and Prabodh Shukla. This book provides a gentle and comprehensive introduction to the physics of disordered systems and is aimed at graduate students and young scientists either working in or intending to enter this exciting field. It should also serve as a general reference for students and practicing researchers alike.

Strongly Correlated Electrons in Two Dimensions

Strongly Correlated Electrons in Two Dimensions PDF

Author: Sergey Kravchenko

Publisher: CRC Press

Published: 2017-05-25

Total Pages: 244

ISBN-13: 9814745383

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The properties of strongly correlated electrons confined in two dimensions are a forefront area of modern condensed matter physics. In the past two or three decades, strongly correlated electron systems have garnered a great deal of scientific interest due to their unique and often unpredictable behavior. Two of many examples are the metallic state and the metal–insulator transition discovered in 2D semiconductors: phenomena that cannot occur in noninteracting systems. Tremendous efforts have been made, in both theory and experiment, to create an adequate understanding of the situation; however, a consensus has still not been reached. Strongly Correlated Electrons in Two Dimensions compiles and details cutting-edge research in experimental and theoretical physics of strongly correlated electron systems by leading scientists in the field. The book covers recent theoretical work exploring the quantum criticality of Mott and Wigner–Mott transitions, experiments on the metal–insulator transition and related phenomena in clean and dilute systems, the effect of spin and isospin degrees of freedom on low-temperature transport in two dimensions, electron transport near the 2D Mott transition, experimentally observed temperature and magnetic field dependencies of resistivity in silicon-based systems with different levels of disorder, and microscopic theory of the interacting electrons in two dimensions. Edited by Sergey Kravchenko, a prominent experimentalist, this book will appeal to advanced graduate-level students and researchers specializing in condensed matter physics, nanophysics, and low-temperature physics, especially those involved in the science of strong correlations, 2D semiconductors, and conductor–insulator transitions.

Interacting Electrons and Quantum Magnetism

Interacting Electrons and Quantum Magnetism PDF

Author: Assa Auerbach

Publisher: Springer

Published: 2012-10-06

Total Pages: 0

ISBN-13: 9781461269281

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In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.