Solution of the Gap Equation for a Superconductor

Abstract

A computational solution of the superconducting energy gap equation is described. A spherical band model is used for electrons that are coupled by deformation potential matrix elements to phonons having a Debye spectrum, in order to find the s-wave part of the energy gap equation; higher corrections are ignored. A graphical presentation is given, at T = 0, for the coupling constant as a function of the energy gap DELTA ; for DELTA as a function of energy and coupling constant; and for the superconducting/normal density-of-states ratio as a function of energy. (T.F.H.)