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Theory of High Temperature Superconductivity (Hardcover, 2001 ed.)
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Theory of High Temperature Superconductivity (Hardcover, 2001 ed.)
Series: Fundamental Theories of Physics, 121
Expected to ship within 10 - 15 working days
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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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