d-wave holographic superconductors with backreaction in external magnetic fields

d-wave holographic superconductors with backreaction in external magnetic fields
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在外部磁场中具有逆反应的 d 波全息超导体

DOI:
10.1007/jhep09(2012)088
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发表时间:
2012-09
影响因子:
5.4
通讯作者:
Wang, Bin
Wang, Bin
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ge, Xian-Hui;Tu, Shao Fei;Wang, Bin

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摘要我们利用解析匹配方法和数值计算研究了浸入恒定外部磁场中的d波全息超导体([arXiv:1003.2991[hep-th]]中提出的d波模型)。在探测极限下,我们计算了存在磁性的情况下空间相关的凝聚态溶液,发现上临界磁场的表达式满足Ginzburg-Landau理论中给出的关系。结果表明,在绝对零温度T = 0时,上临界场逐渐增大至最大值Bc2,而在临界温度T = Tc时消失。远离探测极限,我们研究了时空反反应对临界温度和上临界磁场的影响。磁场以及充当引力源的电场降低了超导体的临界温度,并且实际上导致了第一级的动力黑洞解。我们获得了高达 O(κ2) 级的上临界磁场的表达式。分析结果与数值结果一致。
A bstractWe study the d-wave holographic superconductors (the d-wave model proposed in [arXiv:1003.2991[hep-th]]) immersed in constant external magnetic fields by using the analytic matching method and numerical computation. In the probe limit, we calculate the spatially dependent condensate solution in the presence of the magnetism and find that the expression for the upper critical magnetic field satisfies the relation given in the Ginzburg- Landau theory. The result shows that the upper critical field gradually increases to its maximum value Bc2 at absolute zero temperature T = 0, while vanishing at the critical temperature T = Tc. Moving away from the probe limit, we investigate the effect of spacetime backreaction on the critical temperature and the upper critical magnetic field. The magnetic fields as well as the electric fields acting as gravitational sources reduce the critical temperature of the superconductor and actually result in a dyonic black hole solution to the leading order. We obtain the expression for the upper critical magnetic field up to O(κ2) order. The analytic result is consistent with the numerical findings.
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