https://doi.org/10.1140/epjc/s10052-020-08645-w
Regular Article – Theoretical Physics
Holographic Lifshitz superconductors with Weyl 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, Liaoning Normal University, Dalian, 116029, People’s Republic of China
4
Faculty of Science, Kunming University of Science and Technology, Kunming, 650500, People’s Republic of China
* e-mail: lujunwang.2008@163.com
Received:
6
February
2020
Accepted:
9
November
2020
Published online:
18
November
2020
At the probe approximation, we construct a holographic p-wave conductor/superconductor model in the five-dimensional Lifshitz black hole with the Weyl correction via both numerical and analytical methods, and study the effects of the Lifshitz parameter z as well as the Weyl parameter $$\gamma $$ on the superconductor model. As we take into account one of the two corrections separately, the increasing z ($$\gamma $$) inhibits(enhances) the superconductor phase transition. When the two corrections are considered comprehensively, they display the obviously competitive effects on both the critical temperature and the vector condensate. In particular, the promoting effects of the Weyl parameter $$\gamma $$ on the critical temperature are obviously suppressed by the increasing Lifshitz parameter. Meanwhile, in the case of $$z<2.35$$($$z>2.35$$), the condensate at lower temperature decreases(increases) with the increasing Weyl parameter $$\gamma $$. What is more, the difference among the condensate with the fixed Weyl parameter($$\gamma =-\frac{6}{100},0,\frac{4}{100}$$) decreases(increases) with the increasing Lifshitz parameter z in the region $$z<2.35$$($$z>2.35$$). Furthermore, the increasing z obviously suppresses the real part of conductivity for all value of the Weyl parameter $$\gamma $$. In addition, the analytical results agree well with the ones from the numerical method.
© The Author(s), 2020
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