Exotic and conventional superconductivity in a Dirac supersymmetric scheme

TL;DR

This paper introduces a novel pairing theory for many-fermion systems using Dirac supersymmetry, explaining enhanced superconducting gaps and critical temperatures without stronger electron-boson interactions.

Contribution

It develops a new Dirac supersymmetry-based framework for superconductivity, generalizing BCS theory to include multiple fermion components and predicting higher critical temperatures.

Findings

Enhanced gap energies and critical temperatures in the model.

Maximum critical temperature scales with the number of fermion components.

Framework encompasses standard BCS theory as a special case.

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 $T_c^{BCS} \approx 40^0 K$.