Analytic Study of Properties of Holographic Superconductors with Weyl Corrections
Analytic Study of Properties of Holographic Superconductors with Weyl Corrections
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DOI：
10.1007/s10773-013-1533-3
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发表时间：
2013-02
影响因子：
1.4
通讯作者：
Li-chun Zhang;Huai-fan Li;Hui-Hua Zhao;R. Zhao
中科院分区：
文献类型：
--
作者：
Li-chun Zhang;Huai-fan Li;Hui-Hua Zhao;R. Zhao
本文用两种方法研究了AdS_5-Schwarzschild背景下具有Weyl修正的全息超导体的性质，一种是基于Sturm-Liouville本征值问题，另一种是基于场方程在视界附近和渐近AdS区域附近的解的匹配.得到了临界温度与电荷密度之间的关系，以及凝聚算符的期望值与温度的关系，发现在Weyl耦合参数γ增大时，具有Weyl修正的全息超导体的临界温度增大，表明当参数γ减小时，凝聚更难.凝聚的临界指数为1/2，这是平均场理论中的普适值。
We analytically investigate the properties of holographic superconductors with Weyl corrections inAdS5-Schwarzschild background by two approaches, one based on the Sturm-Liouville eigenvalue problem and the other based on the matching of the solutions to the field equations near the horizon and near the asymptotic AdS region. The relation between the critical temperature and the charge density has been obtained and the dependence of the expectation value of the condensation operator on the temperature has been found. We find that the critical temperature of holographic superconductor with Weyl corrections increases as we amplify the Weyl coupling parameterγ, indicating the condensation will be harder when the parameterγdecreases. The critical exponent of the condensation also comes out to be 1/2 which is the universal value in the mean field theory.