Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
K. G. Klimenko, R. N. Zhokhov, V. Ch. Zhukovsky
DOI 10.1103/PhysRevD.86.105010 · Physical Review D
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Abstract
In the paper a generalization of the (1+1)-dimensional model by Chodos et al. [Phys. Rev. D 61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interactions both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels. We study temperature T and chemical potential μ induced phase transitions in the leading order of large-N expansion technique, where N is a number of fermion fields. It is shown that at sufficiently large values of μ and arbitrary relations between coupling constants, the superconducting phase appears in the system both at T=0 and T>0. In particular, at T=0 and sufficiently weak attractive interaction in the chiral channel, the Cooper pairing occurs for arbitrary couplings in the superconducting channel even at infinitesimal values of μ.
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