Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theoryстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
Аннотация:In the paper a generalization of the (1+1)-dimensional model by Chodos et al [Phys. Rev. D61, 045011 (2000)] has been performed to the case of (2+1)-dimensional spacetime. The model includes four-fermion interaction both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels. We study temperature T and chemical potential m 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 m and arbitrary relations between coupling constants, 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 m.