Holographic Lifshitz superconductors with Weyl correction
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Regular Article - Theoretical Physics
Holographic Lifshitz superconductors with Weyl correction Jun-Wang Lu1,2,a , Ya-Bo Wu3,b , Bao-Ping Dong1, Yu Zhang4 1
School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun 558000, People’s Republic of China 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
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Received: 6 February 2020 / Accepted: 9 November 2020 © The Author(s) 2020
Abstract At the probe approximation, we construct a holographic p-wave conductor/superconductor model in the fivedimensional 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 γ on the superconductor model. As we take into account one of the two corrections separately, the increasing z (γ ) 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 γ 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 γ . What is more, the difference among the conden6 4 , 0, 100 ) sate with the fixed Weyl parameter(γ = − 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 γ . In addition, the analytical results agree well with the ones from the numerical method.
1 Introduction The AdS/CFT correspondence which maps a gravity in a (d + 1)-dimensional AdS spacetime to a conformal field theory on the d-dimensional boundary opens up a new window to investigate the strongly coupled gauge field theory [1,2]. In the recent years, the AdS/CFT correspondence (and its generalized version, gauge/gravity duality) has been applied a e-mail:
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extensively to study many strong correlated systems [3–6], especially the high temperature superconductor [7,8]. In 2008, the authors in Ref. [7] constructed numerically a holographic s-wave conductor/superconductor model in the Einstein–Abelian–Higgs system within the probe limit. The model displays that the scalar field begins to condense as the temperature drops below the critical point, which is accompanied by spontaneous breaking of the U (1) symmetry. Meanwhile, the infinite DC conductivity can be observed by studying the fluctuations of t
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