Holographic Lifshitz superconductors: Analytic solution

Holographic Lifshitz superconductors: Analytic solution
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DOI:
10.1103/physrevd.97.066016
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发表时间:
2018-01
期刊:
影响因子:
5
通讯作者:
Makoto Natsuume;T. Okamura
Makoto Natsuume;T. Okamura
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Makoto Natsuume;T. Okamura

文献摘要

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在渐近Lifshitz时空中,我们构造了一个单参数全息超导体族的解析解。我们利用这个解来研究系统的各种性质,如(1)超流相背景和巨正则势,(2)序参量响应函数或磁化率,(3)伦敦方程,(4)具有超流或磁场的背景。从这些结果中,我们确定了包括数值系数的对偶Ginzburg-Landau理论。此外,与临界点相关联的动态临界指数${z}_{D}}$由${z}_{D}}=2$给出,与Lifshitz指数$z$的值无关。
We construct an analytic solution for a one-parameter family of holographic superconductors in asymptotically Lifshitz spacetimes. We utilize this solution to explore various properties of the systems such as (1) the superfluid phase background and the grand canonical potential, (2) the order parameter response function or the susceptibility, (3) the London equation, and (4) the background with a superfluid flow or a magnetic field. From these results, we identify the dual Ginzburg-Landau theory including numerical coefficients. Also, the dynamic critical exponent ${z}_{\mathrm{D}}$ associated with the critical point is given by ${z}_{\mathrm{D}}=2$ irrespective of the value of the Lifshitz exponent $z$.