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New holographic Weyl superconductors in Lifshitz gravity
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2021-03-22 , DOI: 10.1088/1572-9494/abe84a
Jun-Wang Lu 1, 2 , Ya-Bo Wu 3 , Huai-Fan Li 4 , Hao Liao 1 , Yong Zheng 1 , Bao-Ping Dong 1
Affiliation  

We build holographic p-wave conductor(insulator)/superconductor models via the numerical method with a new form of Weyl coupling in five-dimensional Lifshitz gravity, and then investigate how the Weyl coupling parameter γ and the Lifshitz scaling parameter z affect the superconductor models. In the conductor/superconductor model, an increase in the Weyl correction (Lifshitz scaling) enhances (inhibits) the superconductor phase transition. Meanwhile, both the Weyl correction (when the Lifshitz parameter is large enough and fixed) and the Lifshitz scaling suppress the growth of the real part of the conductivity. The Weyl correction used here (CB 2) shows weaker effects on the critical value than the previous Weyl correction (CF 2). In the insulator/superconductor model, larger vaules of the Weyl parameter hinder the formation of condensate. However, in increase in the Lifshitz scaling enhances the appearance of condensate. In addition, the calculation suggests that a competitive relation may exist between the Weyl correction and the Lifshitz scaling.



中文翻译:

Lifshitz 引力中的新型全息外尔超导体

我们通过数值方法在五维 Lifshitz 引力中使用新形式的 Weyl 耦合建立全息p波导体(绝缘体)/超导体模型,然后研究 Weyl 耦合参数γ和 Lifshitz 标度参数z 如何影响超导体模型. 在导体/超导体模型中,Weyl 校正(Lifshitz 标度)的增加增强(抑制)超导体相变。同时,Weyl 校正(当 Lifshitz 参数足够大且固定时)和 Lifshitz 标度都抑制了电导率实部的增长。此处使用的 Weyl 校正(CB 2) 对临界值的影响比之前的 Weyl 校正 ( CF 2 ) 更弱。在绝缘体/超导体模型中,较大的外尔参数值会阻碍冷凝物的形成。然而,Lifshitz 结垢的增加会增强冷凝物的出现。此外,计算表明 Weyl 校正和 Lifshitz 标度之间可能存在竞争关系。

更新日期:2021-03-22
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