Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials

In this paper the duality correspondence between fermion-antifermion and difermion interaction channels is established in two (2+1)-dimensional Gross-Neveu type models with a fermion number chemical potential $μ$ and a chiral chemical potential $μ_5$. The role and influence of this property on the phase structure of the models are investigated. In particular, it is shown that the chemical potential $μ_5$ promotes the appearance of dynamical chiral symmetry breaking, whereas the chemical potential $μ$ contributes to the emergence of superconductivity.

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