Theory of high-T_c superconductivity based on the fermion-condensation quantum phase transition

Abstract

A theory of high temperature superconductivity based on the combination of the fermion-condensation quantum phase transition and the conventional theory of superconductivity is presented. This theory describes maximum values of the superconducting gap which can be as big as ${\Delta }_1\sim 0.1{\epsilon }_F$, with ${\epsilon }_F$ being the Fermi level. We show that the critical temperature $2T_c\simeq {\Delta }_1$. If there exists the pseudogap above $T_c$ then $2T^{\ast }\simeq {\Delta }_1$, and $T^{\ast }$ is the temperature at which the pseudogap vanishes. A discontinuity in the specific heat at $T_c$ is calculated. The transition from conventional superconductors to high-$T_c$ ones as a function of the doping level is investigated. The single-particle excitations and their lineshape are also considered.

6 pages, Revtex

References in corpus (1)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors

Cited by in corpus (6)

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• Relationships between the superconducting gap, pseudogap and transition temperature in High-T_c superconductors
• Magnetic field-induced Landau Fermi Liquid in high-T_c metals