层状sine-Gordon模型对层状超导体的适用性：II。磁耦合的情况
Applicability of layered sine-Gordon models to layered superconductors: II. The case of magnetic coupling
摘要：
在本文中，我们提出了一个量子场论的重整化群方法的磁耦合层状超导体的涡旋动力学，以补充我们以前的研究约瑟夫森耦合的情况下。我们构建了一个二维多层sine-Gordon型模型，我们映射到气体的拓扑激发。通过对场论模型中质量矩阵的特殊选择，可以描述磁耦合层状超导体的涡旋主导性质。从我们的场论分析中一致地得到了分数通量涡旋的相互作用势，并确定了物理参数（涡旋逸度和温度参数）。本文从第一性原理出发，用微分重整化群方法分析了磁耦合情况下多层sine-Gordon模型的相结构。转变温度对层数的依赖关系被发现与基于其他方法的已知结果一致。
英文摘要：
In this paper, we propose a quantum field theoretical renormalization group approach to the vortex dynamics of magnetically coupled layered superconductors, to supplement our earlier investigations on the Josephson-coupled case. We construct a two-dimensional multi-layer sine-Gordon type model which we map onto a gas of topological excitations. With a special choice of the mass matrix for our field theoretical model, vortex dominated properties of magnetically coupled layered superconductors can be described. The well known interaction potentials of fractional flux vortices are consistently obtained from our field-theoretical analysis, and the physical parameters (vortex fugacity and temperature parameter) are also identified. We analyse the phase structure of the multi-layer sine--Gordon model by a differential renormalization group method for the magnetically coupled case from first principles. The dependence of the transition temperature on the number of layers is found to be in agreement with known results based on other methods.
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