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Motivated by recent huge interests on graphene sheet and graphite as"relativistic" systems, a BCS superconductivity in a quasi-(2+1)-dimensionalrelativistic model is investigated. The intra-layer particle dynamics isdescribed by a (2+1)-dimensional Gross-Neveu-type four-body contact interactionmodel, while inter-layer particle motions will be caused by a hopping term witha transfer parameter $t$. Especially, we examine the effects of non-vanishing$t$, chemical potential $\mu$, and a mass parameter $m$ which will give a gapat a conical intersection point of the relativistic band dispersion, in the BCSs-wave (scalar) superconducting gap function $\Delta$.

Relativistic BCS Theory in Quasi-(2+1)-Dimensions: Effects of an Inter-layer Transfer in the Honeycomb Lattice Symmetry