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arXiv 1306.3179cond-mat.supr-con
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相位阻挫多组分超导体的基态和简正模分类

Classification of ground states and normal modes for phase-frustrated multicomponent superconductors

Daniel Weston, Egor Babaev

摘要:

我们对具有阻挫约瑟夫森耦合的$n$组分超导体的基态和简正模进行了分类,重点研究了$n = 4$ .结果不仅适用于多带超导体,而且适用于约瑟夫森耦合多层膜和约瑟夫森结阵列。最近讨论了三组分超导体由于相位阻挫而破坏时间反演对称性的问题。我们讨论了如何对具有任意数量的组分的阻挫超导体进行分类。虽然已经为四个组件的情况下,有大量的锁相和相位反锁约瑟夫森耦合的不同组合,我们建立,有一个小得多的等效类的阻挫多组分超导体的属性可以映射到对方。这种分类与赛德尔开关的图论概念有关。在数值上,我们计算了基态,正常模式,和特征长度尺度的四个组件的情况下。我们报告新的偶然连续基态简并的出现条件。

英文摘要:

We classify ground states and normal modes for $n$-component superconductors with frustrated intercomponent Josephson couplings, focusing on $n = 4$. The results should be relevant not only to multiband superconductors, but also to Josephson-coupled multilayers and Josephson-junction arrays. It was recently discussed that three-component superconductors can break time-reversal symmetry as a consequence of phase frustration. We discuss how to classify frustrated superconductors with an arbitrary number of components. Although already for the four-component case there are a large number of different combinations of phase-locking and phase-antilocking Josephson couplings, we establish that there are a much smaller number of equivalence classes where properties of frustrated multicomponent superconductors can be mapped to each other. This classification is related to the graph-theoretical concept of Seidel switching. Numerically, we calculate ground states, normal modes, and characteristic length scales for the four-component case. We report conditions of appearance of new accidental continuous ground-state degeneracies.

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