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arXiv 0810.1563hep-th
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全息超导体

Holographic Superconductors

Sean A. Hartnoll, Christopher P. Herzog, Gary T. Horowitz

摘要:

研究表明,反德西特引力与麦克斯韦场和带电标量耦合可以得到超导体的引力对偶。我们回顾了我们以前对这个理论的分析,并将其扩展到两个方向。首先,我们考虑标量场电荷的所有值。远离大电荷极限,时空度规的反作用是重要的。虽然对偶超导体的定性行为被发现是类似的所有电荷,在任意小的电荷的限制下,一种新的类型的黑洞不稳定性被发现.我们继续添加一个垂直的磁场B,并获得伦敦方程和磁穿透深度.我们表明,这些全息超导体是II型,即,在大B和低温下,它们在正常相中开始,随着B的减少,它们形成超导液滴。

英文摘要:

It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and charged scalar. We review our earlier analysis of this theory and extend it in two directions. First, we consider all values for the charge of the scalar field. Away from the large charge limit, backreaction on the spacetime metric is important. While the qualitative behaviour of the dual superconductor is found to be similar for all charges, in the limit of arbitrarily small charge a new type of black hole instability is found. We go on to add a perpendicular magnetic field B and obtain the London equation and magnetic penetration depth. We show that these holographic superconductors are Type II, i.e., starting in a normal phase at large B and low temperatures, they develop superconducting droplets as B is reduced.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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