Abstract
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 μ and the chiral chemical potential μ5 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 μ promotes the appearance of a superconducting phase, while an increase in the chemical potential μ5 suppresses the effect of the chemical potential μ on a system. The results of this study may be of interest for high-energy physics, condensed matter physics and, in particular, graphene physics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. Ebert and M. K. Volkov, Z. Phys. C 16, 205 (1983).
D. Ebert, H. Reinhardt, and M. K. Volkov, Prog. Part. Nucl. Phys. 33, 1 (1994).
M. Buballa, Phys. Rep. 407, 205 (2005).
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961)
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124, 246 (1961).
D. J. Gross and A. Neveu, Phys. Rev. D 10, 3235 (1974).
I. V. Krive and A. S. Rozhavskii, Sov. Phys. Usp. 30, 370 (1987).
A. J. Heeger, S. Kivelson, J. R. Schrieffer, et al., Rev. Mod. Phys. 60, 781 (1988).
A. Chodos and H. Minakata, Phys. Lett. A 191, 39 (1994).
H. Caldas, J. L. Kneur, M. B. Pinto, et al., Phys. Rev. B 77, 205109 (2008).
V. Schoen and M. Thies, arXiv:hep-th/0008175.
M. Thies, J. Phys. A 39, 12707 (2006).
G. W. Semenoff, I. A. Shovkovy, and L. C. R. Wijewardhana, Mod. Phys. Lett. A 13, 1143 (1998).
V. Ch. Zhukovskii, K. G. Klimenko, V. V. Khudyakov, and D. Ebert, JETP Lett. 73, 121 (2001).
V. Ch. Zhukovsky and K. G. Klimenko, Theor. Math. Phys. 134, 254 (2003).
E. C. Marino and L. H. C. M. Nunes, Nucl. Phys. B 769, 275 (2007).
K. G. Klimenko, R. N. Zhokhov, and V. C. Zhukovsky, Phys. Rev. D 86, 105010 (2012).
K. G. Klimenko, R. N. Zhokhov, and V. C. Zhukovsky, Mod. Phys. Lett. A 28, 1350096 (2013).
D. Ebert, K. G. Klimenko, P. B. Kolmakov, and V. Ch. Zhukovsky, Ann. Phys. 371, 254 (2016).
K. G. Klimenko, Z. Phys. C 37, 457 (1988).
B. Rosenstein, B. J. Warr, and S. H. Park, Phys. Rep. 205, 59 (1991).
A. A. Andrianov, D. Espriu, and X. Planells, Eur. Phys. J. C 73, 2294 (2013)
A. A. Andrianov, D. Espriu, and X. Planells, Eur. Phys. J. C 74, 2776 (2014).
R. Gatto and M. Ruggieri, Phys. Rev. D 85, 054013 (2012).
L. Yu, H. Liu, and M. Huang, Phys. Rev. D 90, 074009 (2014).
G. Cao and P. Zhuang, Phys. Rev. D 92, 105030 (2015).
V. V. Braguta and A. Y. Kotov, Phys. Rev. D 93, 105025 (2016).
D. Ebert, T. G. Khunjua, K. G. Klimenko, and V. Ch. Zhukovsky, Phys. Rev. D 93, 105010 (2016).
A. N. Vasil’ev, Functional Methods in Quantum Field Theory and Statistics (Leningr. Univ., Leningrad, 1976).
D. Ebert, T. G. Khunjua,and K. G. Klimenko, Phys. Rev. D 94, 116016 (2016)).
T. G. Khunjua, K. G. Klimenko, R.N. Zhokhov and V. Ch. Zhukovsky, arXiv: 1704.01477 (in press).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.Ch. Zhukovsky, K.G. Klimenko, T.G. Khunjua, 2017, published in Vestnik Moskovskogo Universiteta, Seriya 3: Fizika, Astronomiya, 2017, No. 3, pp. 48–55.
About this article
Cite this article
Zhukovsky, V.C., Klimenko, K.G. & Khunjua, T.G. Superconductivity in chiral-asymmetric matter within the (2 + 1)-dimensional four-fermion model. Moscow Univ. Phys. 72, 250–256 (2017). https://doi.org/10.3103/S002713491703016X
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S002713491703016X