Superconductivity, II: Microscopic Theory
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The physical mechanism by which a pair of electrons just above the Fermi energy forms a bound state is physically analyzed and explicit quantitative results for the binding energy and the critical superconducting temperature are obtained. The possibility of Cooper pair formation forces a reorganization of the Fermi sea along the line proposed by Bardeen–Cooper–Schrieffer. This leads to the self-consistent BCS theory, which is capable of obtaining the thermodynamic, transport, and other superconducting properties in terms of the dimensionless phonon attractions, λ, and the dimensionless screened Coulomb repulsion, μ*. The generalization of the DFT to the superconducting state (aiming at material specific ab initio calculations) is outlined. The DC and AC Josephson effects as well as the superconducting quantum interference phenomenon are presented.
KeywordsSuperconducting State Cooper Pair Pair State Microscopic Theory Jellium Model
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- See the Kaxiras book [SS83], pp. 297–310 as well as the Marder book [SS82], pp. 802–824.Google Scholar
- For more advanced and comprehensive treatments the readers may consult the books [Su179]–[Su182].Google Scholar
- Some recent ideas for obtaining higher Tc are presented in [23.16] and in references therein.Google Scholar