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    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

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Theory of High Temperature Superconductivity

Theory of High Temperature Superconductivity

Fujita, S.
Godoy, S.

Paperback

Series: Fundamental Theories of Physics, Book 121

Technology & EngineeringChemistryPhysics

ISBN10: 9048158834
ISBN13: 9789048158836
Publisher: Springer Nature
Published: Dec 4 2010
Pages: 374
Weight: 1.22
Height: 0.81 Width: 6.14 Depth: 9.21
Language: English
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.

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