Electron Liquids

Overview

The study of electronic properties reveals a common basis for a variety of systems, including gaseous plasmas, ionic solutions, metals, and semiconductors. Electron Liquids discusses newly discovered unusal electronic phenomena, with an emphasis on electron correlations.
This second edition has been enlarged to account to the significant developments in the study of electron systems that have taken place since the publication of the first edition, especially in the areas of ...
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Paperback (2nd ed. 1998. Softcover reprint of the original 2nd ed. 1998)
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Overview

The study of electronic properties reveals a common basis for a variety of systems, including gaseous plasmas, ionic solutions, metals, and semiconductors. Electron Liquids discusses newly discovered unusal electronic phenomena, with an emphasis on electron correlations.
This second edition has been enlarged to account to the significant developments in the study of electron systems that have taken place since the publication of the first edition, especially in the areas of high-Tc superconductivity and the quantized Hall effect. These developments and also the subjects of crystallization and the stability of matter are now included.
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Product Details

  • ISBN-13: 9783642803949
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/14/2011
  • Series: Springer Series in Solid-State Sciences , #96
  • Edition description: 2nd ed. 1998. Softcover reprint of the original 2nd ed. 1998
  • Edition number: 2
  • Pages: 317
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.71 (d)

Table of Contents

1. General Description of Electron Systems.- 1.1 Classification of Electron Systems.- 1.2 Low-Dimensional Electron Systems.- 1.2.1 Two-Dimensional Electron Systems.- 1.2.2 One-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.- 2.2.1 Monte Carlo Calculations.- 2.2.2 Hubbard’s Attempt.- 2.2.3 Phenomenological Consideration of—(q,?).- 2.2.4 Self-Consistent Approach.- 2.2.5 Excess Energy.- 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.- 4.1.1 Long-Distance Correlations and the Eflect of Impurities.- 4.1.2 Ladder Diagram Contribution.- 4.2 Correlation Energy in Three Dimensions.- 4.2.1 Ideal Gas Contribution.- 4.2.2 First-Order Exchange Contribution.- 4.2.3 Ring Diagram Contribution.- 4.2.4 Direct Calculation of the Ring Energy.- 4.2.5 Second-Order Exchange Contribution.- 4.2.6 Correlation Energy.- 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.- 6.2.1 Exchange Effect at High Temperatures.- 6.2.2 Ideal Electron Gas at Low Temperatures.- 6.2.3 Exchange Effects at Low Temperatures.- 6.2.4 Correlation Effects.- 6.2.5 Local Field Correction.- 6.3 Effective g-Factor in Si Inversion Layers.- 6.4 Coulomb Effects on 2D de Haas-van Alphen Oscillations.- 6.4.1 Chemical Potential.- 6.4.2 Exchange Effect.- 6.4.3 Correlation Contribution.- 6.4.4 de Haas-van Alphen Oscillations.- 6.5 Field Induced SDW States of 1D Conductors.- 7. Electronic Specific Heat.- 7.1 Correlation Effects.- 7.1.1 Lidiard Approximation.- 7.1.2 Exchange and Correlation Effects.- 7.1.3 Specific Heat of 2D Electrons.- 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.- 9.2.1 Interference Effect.- 9.2.2 Magnetic Field Effects.- 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.- 11.2.1 2-1-4 Compounds.- 11.2.2 1-2-3 Compounds.- 11.2.3 Copperless Oxides.- 11.2.4 Characteristic Properties.- 11.3 Theoretical Consideration.- 12. Integral Quantum Hall Effect.- 12.1 Quantization of Hall Conductivity of 2D Electrons.- 12.2 Localization 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.
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