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The Electron Glass

Book Description

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.

Table of Contents

  1. Cover Page
  2. Title Page
  3. Copyright Page
  4. Dedication Page
  5. Contents
  6. Acknowledgments
  7. List of Symbols
  8. 1 - Introduction
  9. 2 - Disordered Electronic Systems
    1. 2.1 - Disordered Solids
    2. 2.2 - Hamiltonians for Disordered Systems
    3. 2.3 - Strong Disorder
    4. 2.4 - Weak Disorder
    5. 2.5 - Anderson Localization and Metal–Insulator Transitions
    6. 2.6 - Percolation Theory
  10. 3 - Basics of Glasses
    1. 3.1 - The Modern Concept of Glass
    2. 3.2 - The Glass Transition
    3. 3.3 - Types of Glasses
    4. 3.4 - Ergodicity
    5. 3.5 - The Fluctuation–Dissipation Theorem
    6. 3.6 - Aging
    7. 3.7 - Spin Glasses
    8. 3.8 - Two-Site Systems
  11. 4 - Equilibrium Properties of the Electron Glass
    1. 4.1 - The Model Hamiltonian for Strong Localization
    2. 4.2 - Density of States: The Coulomb Gap
    3. 4.3 - Numerical Simulations
    4. 4.4 - Interactions and Anderson Localization
  12. 5 - dc Conductivity
    1. 5.1 - dc Conductivity: Experimental
    2. 5.2 - Elements of the Theory of Hopping Transport
    3. 5.3 - Variable Range Hopping
    4. 5.4 - Percolation Approach to Hopping Conduction
    5. 5.5 - Scaling Theory of Transport
    6. 5.6 - Numerical Simulations
    7. 5.7 - Concluding Remarks
  13. 6 - Other Transport Properties of Electron Glasses
    1. 6.1 - High Field Conductivity
    2. 6.2 - Magnetoresistance
    3. 6.3 - Hall Effect
    4. 6.4 - ac Conductivity
    5. 6.5 - 1/ƒ Noise
    6. 6.6 - Mesoscopic Effects
  14. 7 - Glassy Behavior
    1. 7.1 - The Nature of the Phase Space
    2. 7.2 - Glassy Relaxation
    3. 7.3 - Models for Logarithmic Relaxation
    4. 7.4 - Numerical Simulations of Relaxation
    5. 7.5 - Aging
    6. 7.6 - Memory – Two Dip Experiment
    7. 7.7 - Coexistence of Mesoscopic and Glassy Effects
    8. 7.8 - Details of Specific Electron Glasses
    9. 7.9 - Concluding Remarks
  15. 8 - Relationship to other Glasses
    1. 8.1 - Structural Glasses
    2. 8.2 - Dipole Glasses
    3. 8.3 - Spin Glasses
    4. 8.4 - Vortex Glass
  16. 9 - Open Issues
  17. References
  18. Index