Exotic and conventional superconductivity in a Dirac supersymmetric scheme

Abstract

A new pairing theory for many-fermion systems is obtained via the Dirac supersymmetry framework recently introduced to describe Dirac particles in external potentials. It is shown that the standard Bogoliubov-Valatin canonical transformation treatment of the quasi-particle BCS singlet pairing mechanism naturally falls within this framework. Straightforward generalizations in which the fermions can be ascribed $\nu$ {\it components} are shown to lead to enhanced gap energies and critical temperatures as in the case of cuprate superconductors without invoking a stronger electron-boson coupling. The new $T_c^{max}$ limit is $T_c^{max}=\nu T_c^{BCS}$, with $T_c^{BCS}\approx 40^{0}K$.

pp.13, LATEX