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Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model

2012/11/30 by K. G. Klimenko, R. N. Zhokhov, V. Ch. Zhukovsky · 1 citation
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1142/s021773231350096x

published as Mod.Phys.Lett.A28:1350096(2013) · 10 pages, 7 figures, published version in MPLA. arXiv admin note: substantial text overlap with arXiv:1210.7934

arxiv created 2013/08/07 · arxiv updated 2015/06/12

Abstract

Phase structure of the (2+1)-dimensional model with four-fermion interaction of spin-1/2 quasiparticles (electrons) both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels is considered at nonzero chemical potential μ and under the influence of an in-plane, i.e. parallel to a system sheet, external magnetic field B_∥. It is shown that at sufficiently large values of μ and/or B_∥ the Cooper pairing (or superconducting) phase appears in the system at arbitrary relation between coupling constants, provided that there is an (arbitrary small) attractive interaction in the superconducting channel. In particular, at sufficiently weak attractive interaction in the chiral channel, the Cooper pairing occurs even at infinitesimal values of μ and/or B_∥. The superconducting phase of the model is always a paramagnetic one.

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