Theory of High Temperature Superconductivity
β Scribed by Shigeji Fujita, Salvador Godoy (eds.)
- Book ID
- 127431834
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 3 MB
- Edition
- 1
- Category
- Library
- City
- Dordrecht; Boston
- ISBN
- 0306482169
No coin nor oath required. For personal study only.
β¦ Synopsis
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 βelectronβ and βholeβ kinetic energies and a pairing interaction with the phonon variables eliminated. These βelectronsβ and βholesβ were introduced formally in terms of a free-electron model, which we consider unsatisfactory. We define βelectronsβ and βholesβ in terms of the cur- tures of the Fermi surface. βElectronsβ (1) and βholesβ (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.
β¦ Subjects
Statistical Physics
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