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Theory of High Temperature Superconductivity

  • Shigeji Fujita
  • Salvador Godoy

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

Table of contents

  1. Front Matter
    Pages i-xix
  2. Pages 1-18
  3. Pages 27-44
  4. Pages 123-132
  5. Pages 147-161
  6. Pages 163-180
  7. Pages 181-191
  8. Pages 193-206
  9. Pages 207-216
  10. Pages 241-248
  11. Pages 259-267
  12. Pages 285-294
  13. Pages 295-305
  14. Pages 307-310
  15. Pages 325-332
  16. Back Matter
    Pages 333-373

About this book

Introduction

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.

Keywords

Cooper pair Doping Hall effect Josephson effect Superconductor superconductivity transitions

Editors and affiliations

  • Shigeji Fujita
    • 1
  • Salvador Godoy
    • 2
  1. 1.University at Buffalo, SUNYBuffaloUSA
  2. 2.Universidad Nacional Autónoma de MéxicoMéxico, D.F.México

Bibliographic information

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