Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory

2012/10/30 by K. G. Klimenko, К. Г. Клименко, R. N. Zhokhov +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Cooper pair #Coupling (piping) #Fermion #Materials science #Mathematical physics #Order (exchange) #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #Topological Materials and Phenomena #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.86.105010

15 pages, 14 figures; accepted for publication in PRD

arxiv created 2012/10/30 · openalex publication_date 2012/11/06 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 \ensuremathμ 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 \ensuremathμ 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 \ensuremathμ.

Citations

• Phase transition in the 3D massive Gross-Neveu model
• Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models
• There are no Goldstone bosons in two dimensions
• The (2+1)-dimensional NJL model at finite temperature
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
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• The (2+1)-dimensional Gross–Neveu model with a U(1) chiral symmetry at nonzero temperature
• Theoretical investigation of high-temperature superconductivity
• The electronic properties of graphene
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• Superconductivity at 38 K in the Iron Arsenide(Ba1−xKx)Fe2As2

Cited by

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