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arXiv 1404.2190hep-th
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具有高阶导数耦合的广义全息超导体

Generalized Holographic Superconductors with Higher Derivative Couplings

Anshuman Dey, Subhash Mahapatra, Tapobrata Sarkar

摘要:

在四维AdS黑洞背景下,引入并研究了场强张量与复标量场之间具有高阶导数耦合的广义全息超导体.我们研究这个理论在探针的限制,以及与逆反应。有多个调谐参数的理论,并与两个非零参数,我们表明,该理论具有丰富的相结构,特别是,从正常到超导相的过渡可以被调谐到一阶或二阶的窗口内的这些之一。这是建立数值以及通过计算自由能的边界理论。我们进一步提出的模型的临界温度的分析结果,并与数值分析进行比较。该系统的光学性质也进行了数值研究,在探测极限,我们的结果表明在低频负折射的证据。

英文摘要:

We introduce and study generalized holographic superconductors with higher derivative couplings between the field strength tensor and a complex scalar field, in four dimensional AdS black hole backgrounds. We study this theory in the probe limit, as well as with backreaction. There are multiple tuning parameters in the theory, and with two non-zero parameters, we show that the theory has a rich phase structure, and in particular, the transition from the normal to the superconducting phase can be tuned to be of first order or of second order within a window of one of these. This is established numerically as well as by computing the free energy of the boundary theory. We further present analytical results for the critical temperature of the model, and compare these with numerical analysis. Optical properties of this system are also studied numerically in the probe limit, and our results show evidence for negative refraction at low frequencies.

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