Holographic superconductors in quasi-topological gravity

Holographic superconductors in quasi-topological gravity
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准拓扑引力下的全息超导体

DOI:
10.1007/jhep12(2010)069
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发表时间:
2010-08
影响因子:
5.4
通讯作者:
Ling, Yi
Ling, Yi
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Kuang, Xiao-Mei;Li, Wei-Jia;Ling, Yi

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本文研究了R. Myers等人通过解析和数值分析,我们发现一般情况下,随着高曲率项耦合参数的增加,凝聚变得更加困难。特别地,与普通Gauss-Bonnet引力相比,我们发现准拓扑引力中的正立方修正抑制了凝聚,而负立方修正则使凝聚变得容易.我们还计算了各种耦合参数的电导率数值。结果表明,ωg/Tc ε 8的普适关系是不稳定的,且该比值随耦合参数的增大而增大。对CFT侧的冷凝也作了简要的讨论。
In this paper we study (3+1) dimensional holographic superconductors in quasi-topological gravity which is recently proposed by R. Myers et.al.. Through both analytical and numerical analysis, we find in general the condensation becomes harder with the increase of coupling parameters of higher curvature terms. In particular, comparing with those in ordinary Gauss-Bonnet gravity, we find that positive cubic corrections in quasi-topological gravity suppress the condensation while negative cubic terms make it easier. We also calculate the conductivity numerically for various coupling parameters. It turns out that the universal relation of ωg/Tc ≃ 8 is unstable and this ratio becomes larger with the increase of the coupling parameters. A brief discussion on the condensation from the CFT side is also presented.
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