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

  title={Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory},
  author={Konstantin Klimenko and Roman Zhokhov and Vladimir Ch. Zhukovsky},
  journal={Physical Review D},
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 $\mu$ induced phase transitions in the leading order of large-$N$ expansion technique, where $N$ is a number of fermion fields. It is shown… 
Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
Phase structure of the (2 + 1)-dimensional model with four-fermion interaction of spin-½ quasiparticles (electrons) both in the fermion–antifermion (or chiral) and fermion–fermion (or
Superconductivity in chiral-asymmetric matter within the (2 + 1)-dimensional four-fermion model
The phase structure of chiral-asymmetric matter has been studied within the (2 + 1)-dimensional quantum-field theory with the fermion–antifermion and fermion–fermion (or superconducting) channels of
Tilted Dirac cone effects in superconducting phase transitions in planar four-fermion models
The chiral and superconducting gaps are studied in the context of a planar fermion model with four-fermion interactions. The effect of the tilt of the Dirac cone on both gaps is shown and discussed.
Suppression of superconductivity by inhomogeneous chiral condensation in the NJL2 model
We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al. [Phys. Rev. D 61, 045011 (2000)] generalized
Chiral phase transition in a planar four-Fermi model in a tilted magnetic field
We study a planar four-Fermi Gross-Neveu model in the presence of a tilted magnetic field, with components parallel and perpendicular to the system's plane. We determine how this combination of
The Phase Structure of a Generalized Gross–Neveu Model in (2+1)-Dimensional Space–Time
The phase structure of a (2+1)-dimensional Gross–Neveu model with four different channels of fermion–antifermion interaction, and, correspondingly, four different coupling constants, is studied. It
Phase diagram of the 2+1-dimensional Gross-Neveu model with chiral imbalance
In this work, the phase diagram of the 2 + 1-dimensional Gross-Neveu model is investigated with baryon chemical potential as well as chiral chemical potential in the mean-field approximation. We
Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities
Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD
Cascade of phase transitions in a planar Dirac material
We investigate a model of interacting Dirac fermions in 2 + 1 dimensions with M flavors and N colors having the U(M)×SU(N) symmetry. In the large-N limit, we find that the U(M) symmetry is