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

@article{Klimenko2012SuperconductingPT,
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},
year={2012},
volume={86},
pages={105010}
}
• Published 30 October 2012
• Physics
• 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…

## Figures from this paper

Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• Physics
• 2013
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
• Physics
• 2017
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
• Physics
• 2022
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
• Physics
• 2013
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
• Physics
• 2013
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
• Physics
• 2015
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
• Physics
• 2021
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
• Physics
• 2020
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
• Physics
• 2021
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