Electron Liquids

by Akira Isihara

Overview

Several years have passed since the first edition of this book was published. During this period, significant developments in the study of electron systems have taken place, especially in the areas ofhigh-Tc superconductivity and the quantized Hall effect. These developments, and such fascinating subjects as crystallization and the stability of matter are included in the second edition. Bardstown, KY A.Isiham June 1997 Preface to the First Edition The study of electronic properties reveals a common basis for a variety of systems, including gaseous plasmas, ionic solutions, metals, and semiconductors. This study started with one-electron properties in free space, as discussed in solid-state books. However, significant progress has been made recently in more realistic and complicated cases with interactions, confinements, impu­ rities, and fields. Moreover, the recent discoveries of the quantum Hall effect, high-Tc superconductors, and localization phenomena, along with the intr~ duction of low-dimensional materials have opened new areas and have led to a tremendous number of articles in existing journals and even new specialized journals. This book has been written to provide a new, comprehensive review on electronic properties in such diverse areas and materials.

Product Details

ISBN-13:	9783642803949
Publisher:	Springer Berlin Heidelberg
Publication date:	12/14/2011
Series:	Springer Series in Solid-State Sciences , #96
Edition description:	Second Edition 1998
Pages:	317
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1. General Description of Electron Systems.- 1.1 Classification of Electron Systems.- 1.2 Low-Dimensional Electron Systems.- 1.3 Characteristic Lengths.- 1.4 Fermi Liquid Theory.- 1.5 Tight Binding, Anderson and Hubbard Models.- 2. Dielectric Function.- 2.1 RPA Dielectric Function.- 2.2 Beyond the RPA.- 2.3 Plasmon Dispersion.- 3. One-Component Plasmas at High Temperatures.- 3.1— and— Series.- 3.2 Quantum Effects at High Temperatures.- 3.3 Short-Distance Correlations.- 4. Low Temperature Plasmas.- 4.1 Asymptotic Correlations.- 4.2 Correlation Energy in Three Dimensions.- 4.3 Correlation Energy of 2D Electrons.- 5. Electron-Hole Liquids.- 5.1 Excitons.- 5.2 Phase Diagram.- 5.3 2D Electron-Hole Plasma.- 6. Correlation in a Magnetic Field.- 6.1 Spatial Correlation in a Magnetic Field.- 6.2 Magnetic Response in Three Dimensions.- 6.3 Effective g-Factor in Si Inversion Layers.- 6.4 Coulomb Effects on 2D de Haas-van Alphen Oscillations.- 6.5 Field Induced SDW States of 1D Conductors.- 7. Electronic Specific Heat.- 7.1 Correlation Effects.- 7.2 Magnetothermal Effect in Two Dimensions.- 7.3 Heavy Fermions.- 8. Magneonductivity in Two Dimensions.- 8.1 Magneonductivity of 2D Electrons.- 8.2 Memory Function Formalism.- 8.3 Anomalous Cyclotron Resonance.- 9. Localization.- 9.1 Anderson Localization and Scaling.- 9.2 Weak Localization.- 9.3 Interaction Effect.- 10. Hopping, Percolation and Conductance Fluctuations.- 10.1 Hopping and Percolation.- 10.2 Universal Conductance Fluctuations in 1D Systems.- 10.3 Conductance of TTF/TCNQ.- 11. High-Tc Superconductivity.- 11.1 Electron Pairing in BCS Theory.- 11.2 Properties of High-Tc Superconductors.- 11.3 Theoretical Consideration.- 12. Integral Quantum Hall Effect.- 12.1 Quantization of Hall Conductivity of 2D Electrons.- 12.2Localization and Scaling.- 12.3 Theoretical Interpretation.- 13. Fractional Quantum Hall Effect.- 13.1 Experimental Results.- 13.2 Ground State of the FQHE.- 13.3 Elementary Excitations and Off-Diagonal Long Range Order.- 14. Phase Transition and Stability of Matter.- 14.1 Crystallization.- 14.2 Properties of an Electron Lattice.- 14.3 Stability of Matter.- A. Appendix.- A.l Pair Distribution Function.- A.2 Classical and Quantum Chains.- A.3 Ring Diagram Formulas.- A.4 Density Functional Approach.- References.