Title The electron glass / Michael Pollak, Department of Physics, University of California, Riverside, Miguel Ortuño, Departamento de F'isica, Universidad de Murcia, Aviad Frydman, Department of Physics, Bar Ilan University

Published Cambridge : Cambridge University Press, 2013

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Description 1 online resource (xiii, 291 pages) Contents Cover; The Electron glass; HalfTitle; Copyright; Dedication; Contents; Acknowledgments; Symbols; 1 Introduction; 2 Disordered electronic systems; 2.1 Disordered solids; 2.1.1 Energy scales; 2.1.2 Types of disordered solids; 2.2 Hamiltonians for disordered systems; 2.3 Strong disorder; 2.3.1 Strong localization; 2.3.2 Density of states -- the Coulomb gap; 2.3.3 Hopping conduction; 2.4 Weak disorder; 2.4.1 Weak localization; 2.4.2 Magnetoresistance; 2.4.3 Mesoscopic fluctuations; 2.4.4 Density of states -- zero bias anomaly; 2.5 Anderson localization and metal -- insulator transitions 2.5.1 Perturbation expansion2.5.2 Scaling theory; 2.5.3 The Anderson metal -- insulator transition; 2.5.4 The mott metal -- insulator transition; 2.6 Percolation theory; 2.6.1 Percolation -- basic concepts; 2.6.2 Percolation conductivity; 3 Basics of glasses; 3.1 The modern concept of glass; 3.2 The glass transition; 3.3 Types of glasses; 3.4 Ergodicity; 3.5 The fluctuation -- dissipation theorem; 3.6 Aging; 3.7 Spin glasses; 3.7.1 Edward-Anderson model; 3.7.2 Mean field theory; 3.7.3 Hierarchical and droplet models; 3.8 Two-site systems; 4 Equilibrium properties of the electron glass 4.1 The model Hamiltonian for strong localization4.2 Density of states: the Coulomb gap; 4.2.1 Theory of the Coulomb gap; 4.2.2 Experiments probing the single-particle density of states; 4.3 Numerical simulations; 4.3.1 Numerical algorithms; 4.3.2 Density of states; 4.3.3 Thermodynamic properties; 4.3.4 The influence of quantum effects on the Coulomb gap; 4.4 Interactions and Anderson localization; 4.4.1 Many-body localization; 5 dc Conductivity; 5.1 dc Conductivity: experimental; 5.1.1 Impurity conduction in doped semiconductors; 5.1.2 Amorphous solids; 5.1.3 Granular metals 5.2 Elements of the theory of hopping transport5.2.1 Transition rates due to electron -- phonon interaction; 5.2.2 Experimental indications for many-body transitions; 5.2.3 Correlation introduced by interaction; 5.2.4 The rate equation and the random impedance network; 5.3 Variable range hopping; 5.3.1 Noninteracting systems: Mott's law; 5.3.2 Interacting systems: Efros and Shklovskii's law; 5.4 Percolation approach to hopping conduction; 5.4.1 Activated regime, percolation treatment; 5.4.2 Variable range hopping, percolation treatment; 5.5 Scaling theory of transport 5.5.1 Scaling theory with interactions5.6 Numerical simulations; 5.6.1 Numerical results; 5.7 Concluding remarks; 6 Other transport properties of electron glasses; 6.1 High field conductivity; 6.1.1 Large electric fields -- the ̀̀activationless'' regime; 6.1.2 Moderate electric fields: percolation approaches; 6.1.3 Hot electron model; 6.2 Magnetoresistance; 6.2.1 The shrinkage effect; 6.2.2 The interference effect; 6.2.3 Magnetoresistance due to spins; 6.3 Hall effect; 6.4 ac Conductivity; 6.4.1 ac Conductivity -- phonon assisted; 6.4.2 ac Conductivity -- photon assisted Summary "Presenting an up-to-date report on electronic glasses, this book examines experiments and theories for a variety of disordered materials where electrons exhibit glassy properties. Some interesting mathematical models of idealized systems are also discussed. The authors examine problems in this field, highlighting which issues are currently understood and which require further research. Where appropriate, the authors focus on physical arguments over elaborate derivations. The book provides introductory background material on glassy systems, properties of disordered systems and transport properties so it can be understood by researchers in condensed matter physics who are new to this field"-- Provided by publisher Bibliography Includes bibliographical references and index Notes Print version record Subject Glass -- Electric properties. Electric conductivity. Hopping conduction. Electrons. electrical conductivity. SCIENCE -- Physics. SCIENCE -- Physics -- Condensed Matter. Electric conductivity Electrons Glass -- Electric properties Hopping conduction Form Electronic book Author Ortuño, Miguel, (Physicist), author Frydman, Aviad, author. ISBN 9781139611466 1139611461 9781139624480 1139624482 9780511978999 0511978995 9781283870368 1283870363 9781139615181 1139615181 9781139609609 1139609602

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