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Role of Thermal Phonons in High-Temperature Superconductivity

J. AppelJohn Jay Hopkins Laboratory for Pure and Applied Science, Gulf General Atomic Incorporated, San Diego, California
1968en
ABI

Abstract

With \'Eliashberg's equations for the two temperature Green's functions of a superconductor, the effect of real phonons on the transition temperature ${T}_{c}$ is discussed. The equation derived for $\frac{{T}_{c}}{{T}_{c0}}$ describes a temperature-depdendent pair-breaking mechanism that depends on both the real and the imaginary part of the electron-phonon self-energy (${T}_{c0}=\mathrm{transition}\mathrm{temperature}\mathrm{in}\mathrm{the}\mathrm{absence}\mathrm{of}\mathrm{real}\mathrm{phonons}$).

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