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We investigate the relativistic model of superconductivity in(2+1)-dimension. We employ the massless Gross-Neveu model at finite temperatureand density, to study the superconductivity and superconducting instability.Our investigation is related to the superconductivity in (2+1)-dimensionaltwo-band systems like ${\rm MgB_{2}}$ or intercalated graphite.Comment: 25 pages, 9 figure

RELATIVISTIC MODEL OF TWO-BAND SUPERCONDUCTIVITY IN (2 + 1)-DIMENSION