Exotic and conventional superconductivity in a Dirac supersymmetric scheme

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 $ν$ {\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 $T_c^{max} = νT_c^{BCS}$, with $T_c^{BCS} \approx 40^0 K$.

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