https://doi.org/10.1140/epjp/s13360-020-00931-6
Regular Article
Holographic s-wave superconductors with conformal anomaly correction
1
School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun, 558000, People’s Republic of China
2
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China
3
Department of Physics, Shanxi Datong University, Datong, 037009, People’s Republic of China
4
Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China
* e-mail: lujunwang.2008@163.com
Received:
29
May
2020
Accepted:
8
November
2020
Published online:
13
November
2020
We build a holographic s-wave conductor/superconductor model and an insulator/superconductor model in the four-dimensional conformal anomaly corrected (CAC) AdS gravity. The effects of CAC parameter $$\alpha $$ are studied using both numerical and analytical methods in the probe approximation. Concretely, when the CAC parameter increases, the critical temperature increases for the conductor/superconductor phase transition, while the critical chemical potential decreases for the insulator/superconductor case, which suggests that the increasing CAC parameter enhances both superconducting phase transitions. Meanwhile, below the critical temperature or beyond the critical chemical potential, the scalar hair begins to condense, and the condensed phases are found to be thermodynamically stable. The critical behaviors obtained from numerics are confirmed by our analytical analysis. In addition, the energy gap in the conductor/superconductor model decreases monotonically with the increasing CAC parameter.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
