Superconductivity in Chiral-Asymmetric Matter within the (2 + 1)-Dimensional Four-Fermion Model

The phase structure of chiral-asymmetric matter has been studied within the (2 + 1)-dimensional quantum-field theory with the fermion–antifermion and fermion–fermion (or superconducting) channels of four-fermion interaction. For this purpose, the model takes both the chemical potential of the number of particles $\mu$ and the chiral chemical potential $\mu_5$ conjugated to the difference between the numbers of right and left fermions into account. A series of phase diagrams was plotted for different chemical potentials. It is shown that the chemical potential $\mu$ promotes the appearance of a superconducting phase, while an increase in the chemical potential $\mu_5$ suppresses the effect of the chemical potential $\mu$ on a system. The results of this study may be of interest for high-energy physics, condensed matter physics and, in particular, graphene physics.