Relativistic Model of two-band Superconductivity in (2+1)-dimension

Abstract

We investigate the relativistic model of superconductivity in (2+1)-dimension. We employ the massless Gross-Neveu model at finite temperature and density, to study the superconductivity and superconducting instability. Our investigation is related to the superconductivity in (2+1)-dimensional two-band systems like $\mathrm{Mg}{\mathrm{B}}_2$ or intercalated graphite.

25 pages, 9 figures

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• Dynamical Chiral Symmetry Breaking, Color Superconductivity, and Bose-Einstein Condensation in an $SU(N_c)\times U(N_f{)}_L\times U(N_f{)}_R$-invariant Supersymmetric Nambu$-$Jona-Lasinio Model