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Theory of High Temperature Superconductivity

  • Book
  • © 2001

Overview

Editors:
  1. Shigeji Fujita

    1. University at Buffalo, SUNY, Buffalo, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Salvador Godoy

    1. Universidad Nacional Autónoma de México, México, D.F., México

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Fundamental Theories of Physics (FTPH, volume 121)

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  2. Introduction

    Pages 1-18

  3. Superconducting Transition

    Pages 19-25

  4. Bloch Electrons

    Pages 27-44

  5. Phonon-Exchange Attraction

    Pages 45-58

  6. Quantum Statistical Theory

    Pages 59-63

  7. Cooper Pairs (Pairons)

    Pages 65-76

  8. Superconductors at 0 K

    Pages 77-93

  9. Quantum Statistics of Composites

    Pages 95-106

  10. Bose-Einstein Condensation

    Pages 107-121

  11. The Energy Gap Equations

    Pages 123-132

  12. Pairon Energy Gaps. Heat Capacity

    Pages 133-146

  13. Quantum Tunneling

    Pages 147-161

  14. Flux Quantization

    Pages 163-180

  15. Ginzburg-Landau Theory

    Pages 181-191

  16. Josephson Effects

    Pages 193-206

  17. Compound Superconductors

    Pages 207-216

  18. Lattice Structures of Cuprates

    Pages 217-225

  19. High-Tc Superconductors Below Tc

    Pages 227-239

  20. Doping Dependence of T c

    Pages 241-248
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About this book

Flux quantization experiments indicate that the carriers, Cooper pairs (pairons), in the supercurrent have charge magnitude 2e, and that they move independently. Josephson interference in a Superconducting Quantum Int- ference Device (SQUID) shows that the centers of masses (CM) of pairons move as bosons with a linear dispersion relation. Based on this evidence we develop a theory of superconductivity in conventional and mate- als from a unified point of view. Following Bardeen, Cooper and Schrieffer (BCS) we regard the phonon exchange attraction as the cause of superc- ductivity. For cuprate superconductors, however, we take account of both optical- and acoustic-phonon exchange. BCS started with a Hamiltonian containing “electron” and “hole” kinetic energies and a pairing interaction with the phonon variables eliminated. These “electrons” and “holes” were introduced formally in terms of a free-electron model, which we consider unsatisfactory. We define “electrons” and “holes” in terms of the cur- tures of the Fermi surface. “Electrons” (1) and “holes” (2) are different and so they are assigned with different effective masses: Blatt, Schafroth and Butler proposed to explain superconductivity in terms of a Bose-Einstein Condensation (BEC) of electron pairs, each having mass M and a size. The system of free massive bosons, having a quadratic dispersion relation: and moving in three dimensions (3D) undergoes a BEC transition at where is the pair density.

Editors and Affiliations

  • University at Buffalo, SUNY, Buffalo, USA

    Shigeji Fujita

  • Universidad Nacional Autónoma de México, México, D.F., México

    Salvador Godoy

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