Holographic superconductor on Q-lattice
Holographic superconductor on Q-lattice
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DOI：
10.1007/jhep02(2015)059
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发表时间：
2014-10
影响因子：
5.4
通讯作者：
Yi Ling;Peng Liu;Chao Niu;Jian-Pin Wu;Zhuo-Yu Xian
中科院分区：
文献类型：
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作者：
Yi Ling;Peng Liu;Chao Niu;Jian-Pin Wu;Zhuo-Yu Xian
本文构造了Q格上超导体的最简单引力对偶模型。我们分析了带电标量场凝聚的临界温度存在的条件。与离子晶格上的全息超导体相比，Q晶格的存在将抑制标量场的凝聚，降低临界温度。特别地，当Q晶格背景与深绝缘相对偶时，对于一些小电荷，凝聚将永远不会发生。此外，我们数值计算的超导制度的光导。事实证明，Q晶格的存在并没有消除电导率虚部中的极点，从而确保在真实的部分中出现δ函数。我们还评估了差距，这在一般情况下取决于电荷的标量场以及Q-晶格参数。然而，当标量场的电荷相对较大并接近探测极限时，差距变得普适，ωg = 9 Tc，这与传统全息超导体的结果一致。
A bstractWe construct the simplest gravitational dual model of a superconductor on Q-lattices. We analyze the condition for the existence of a critical temperature at which the charged scalar field will condense. In contrast to the holographic superconductor on ionic lattices, the presence of Q-lattices will suppress the condensate of the scalar field and lower the critical temperature. In particular, when the Q-lattice background is dual to a deep insulating phase, the condensation would never occur for some small charges. Furthermore, we numerically compute the optical conductivity in the superconducting regime. It turns out that the presence of Q-lattice does not remove the pole in the imaginary part of the conductivity, ensuring the appearance of a delta function in the real part. We also evaluate the gap which in general depends on the charge of the scalar field as well as the Q-lattice parameters. Nevertheless, when the charge of the scalar field is relatively large and approaches the probe limit, the gap becomes universal with ωg ≃ 9Tc which is consistent with the result for conventional holographic superconductors.