Theory of superconducting gap function ∆ in hightemperature layered materials
Abstract
The gap function and order parameter Delta for superconductivity is analyzed in the context of a theory by Mattis (1988) of hightemperature superconductivity in layered materials. The physical mechanism is based on calculations of screened Coulomb forces in layered solids. With Cooper pairs taking maximum advantage of the attractive potentials, a selfconsistent integral equation for these pairs is constructed using BCS theory. The kernel of the equation is Fourier expanded, permitting its solutions Delta to be obtained with good accuracy. A gapdistribution function is obtained, and the quasiparticle density of states in the superconducting phase is sketched.
 Publication:

Journal of the Optical Society of America B Optical Physics
 Pub Date:
 March 1989
 DOI:
 10.1364/JOSAB.6.000496
 Bibcode:
 1989JOSAB...6..496M
 Keywords:

 Energy Gaps (Solid State);
 High Temperature Superconductors;
 Superconductivity;
 Brillouin Zones;
 Critical Temperature;
 Crystal Structure;
 Kernel Functions;
 Temperature Dependence;
 SolidState Physics;
 SUPERCONDUCTIVITY;
 ABSORPTION