Kink crystalline condensate and multi-kink solution in holographic superconductor
Kink crystalline condensate and multi-kink solution in holographic superconductor
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DOI：
10.1007/jhep04(2020)022
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发表时间：
2019-11
影响因子：
5.4
通讯作者：
Masataka Matsumoto;Shin-ichi Nakamura;R. Yoshii
中科院分区：
文献类型：
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作者：
Masataka Matsumoto;Shin-ichi Nakamura;R. Yoshii
根据超导理论是否存在多结解，超导理论可以分为两类。例如，BCS理论和Gross-Neveu模型具有亚稳态多扭结解，而传统的没有高导数相互作用的Ginzburg-Landau理论没有任何多扭结解。本文系统地考察了全息超导体模型的解，以找出模型属于哪一类。我们证明了全息超导体模型具有亚稳态多扭结解。从这个意义上说，我们发现全息超导体模型属于BCS理论和Gross-Neveu模型的范畴。我们还发现全息超导体模型中存在扭结结晶缩聚物，并与Jacobi椭圆函数很好地拟合。
The theory of superconductivity can be divided into two groups depending on whether it has multi-kink solutions. For example, the BCS theory and the Gross-Neveu model have metastable multi-kink solutions whereas the conventional Ginzburg-Landau theory without higher-derivative interactions does not have any multi-kink solutions. In this paper, we systematically examine the solutions of the holographic superconductor model to find out which group the model falls into. We show that the holographic superconductor model has metastable multi-kink solutions. In this sense, we find that the holographic superconductor model falls into the category of the BCS theory and the Gross-Neveu model. We also find that the holographic superconductor model has kink crystalline condensates which are well-fitted by the Jacobi elliptic functions.