The competition between the superconducting and the excitonic phases on doped Dirac electronic systems

TL;DR

This paper explores how superconducting and excitonic phases compete in doped Dirac electronic systems, analyzing the conditions for their emergence based on free energy minimization.

Contribution

It provides a theoretical analysis of the conditions favoring superconductivity or excitonic condensates in Dirac electron systems on bipartite lattices.

Findings

Superconductivity and excitonic phases compete depending on system parameters.

Conditions for phase dominance are derived from free energy minima.

Results explain the phase behavior in doped Dirac systems.

Abstract

We investigate the competition between the superconducting and the excitonic phases on Dirac electrons on a bipartite planar lattice. The conditions for the appearance of superconductivity or excitonic condensate are given by the minima of the free energy and our results are explained.