Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

# Superconductivity in Chiral-Asymmetric Matter within the (2 + 1)-Dimensional Four-Fermion Model

## V. Zhukovsky$^1$, K. Klimenko$^2$, T. Khunjua$^3$

### Moscow University Physics Bulletin 2017. 72. N 3. P. 250

• Article
Annotation

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 four-fermion interaction. For this purpose, the model takes both the chemical potential of the number of particles $\mu$ and the chiral chemical potential $\mu_5$ conjugated to the difference between the numbers of right and left fermions into account. A series of phase diagrams was plotted for different chemical potentials. It is shown that the chemical potential $\mu$ promotes the appearance of a superconducting phase, while an increase in the chemical potential $\mu_5$ suppresses the effect of the chemical potential $\mu$ on a system. The results of this study may be of interest for high-energy physics, condensed matter physics and, in particular, graphene physics.

Approved: 2017 August 23
PACS:
11.10.Kk Field theories in dimensions other than four
04.60.Kz Lower dimensional models; minisuperspace models
Rissian citation:
В. Ч. Жуковский, K. Г. Клименко, Т. Г. Хунджуа.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2017. № 3. С. 48.
Authors
V. Zhukovsky$^1$, K. Klimenko$^2$, T. Khunjua$^3$
$^1$Department of Theoretical Physics, Faculty of physics, Lomonosov Moscow State University
$^2$Institute for High Energy Physics, NRC "Kurchatov Institute"
$^3$Department of General Physics, Faculty of physics, Lomonosov Moscow State University

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