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首页> 外文期刊>Physical Review X >Vortex-Line Condensation in Three Dimensions: A Physical Mechanism for Bosonic Topological Insulators
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Vortex-Line Condensation in Three Dimensions: A Physical Mechanism for Bosonic Topological Insulators

机译：三维空间中的涡旋线冷凝：Bosonic拓扑绝缘子的物理机制

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Bosonic topological insulators (BTIs) in three dimensions are symmetry-protected topological phases protected by time-reversal and boson number conservation symmetries. BTIs in three dimensions were first proposed and classified by the group cohomology theory, which suggests two distinct root states, each carrying a Z 2 index. Soon after, surface anomalous topological orders were proposed to identify different root states of BTIs, which even leads to a new BTI root state beyond the group cohomology classification. In this paper, we propose a universal physical mechanism via vortex-line condensation from a 3D superfluid to achieve all three root states. It naturally produces a bulk topological quantum field theory description for each root state. Topologically ordered states on the surface are rigorously derived by placing topological quantum field theory on an open manifold, which allows us to explicitly demonstrate the bulk-boundary correspondence. Finally, we generalize the mechanism to Z N symmetries and discuss potential symmetry-protected topological phases beyond the group cohomology classification.
机译：三维的玻色子拓扑绝缘体（BTI）是受时间逆和玻色子数守恒对称性保护的对称保护拓扑相。首先提出了三个维度的BTI，并通过群同伦理论对它们进行了分类，该理论提出了两个不同的根态，每个根态均带有Z 2指数。不久之后，提出了表面异常拓扑顺序以识别BTI的不同根态，这甚至导致了超出组同态分类的新BTI根态。在本文中，我们提出了一种通用物理机制，该机制是通过3D超流体的涡旋线凝聚来实现所有三个根态的。它自然会为每个根态生成一个整体拓扑量子场理论描述。通过将拓扑量子场论放置在开放流形上，可以严格得出表面上的拓扑有序状态，这使我们可以清楚地证明体-边界对应关系。最后，我们将机理概括为Z N对称性，并讨论了超出组同调分类的潜在对称性保护拓扑阶段。

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