# 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} }

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

## 9 Citations

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…