Extending the theory of phonon-mediated superconductivity in quasi-2D

Details Extending the theory of phonon-mediated superconductivity in quasi-2D Extending the theory of phonon-mediated superconductivity in quasi-2D

2007-04-03

arxiv.org/abs/0704.0365v1

Lectures on the physics of highly correlated electron systems X, p255-264, AIP Conference Proceedings vol. 846 (2006)

Physics

Condensed Matter

Superconductivity

Reprint to improve access. 10 pages, 7 figures.

Scientific paper

I present results from an extended Migdal-Eliashberg theory of electron-phonon interactions and superconductivity. The history of the electron-phonon problem is introduced, and then study of the intermediate parameter regime is justified from the energy scales in the cuprate superconductors. The Holstein model is detailed, and limiting cases are examined to demonstrate the need for an extended theory of superconductivity. Results of the extended approximation are shown, including spectral functions and phase diagrams. These are discussed with reference to Hohenberg's theorem, the Bardeen-Cooper-Schrieffer theory and Coulomb repulsion.

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