Superconducting Tc for a model spin-fluctuation spectrum with four sharp peaks in the corners of the Brillouin zone

Abstract

Calculations of the superconducting transition temperature are carried out for a model in which the pairing is mediated by antiferromagnetic spin fluctuations derived from the spin susceptibility with four sharp peaks in the corners of a square Brillouin zone and for a tight-binding electron spectrum. The approximation, in which the electron momentum transfer in integrals for the self-energy near Tc is taken to be fixed at the positions of the peaks, results in a considerable simplification of the equations for Tc. The numerical solutions of these equations, which take under one minute on any standard UNIX workstation, are in good agreement with previous calculations for such a model, which employed no approximation in the momentum integral, but required a vector or a highly parallel computer architecture. Moreover, a relatively simple structure of the equations developed in this work offers, perhaps, more insight into the antiferromagnetic spin-fluctuation theories of copper oxide superconductors.

Source-reported materials — not catalogue approval

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