Fermion Path Integrals And Topological Phases
Fermion Path Integrals And Topological Phases
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DOI：
10.1103/revmodphys.88.035001
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发表时间：
2015-08
影响因子：
44.1
通讯作者：
E. Witten
中科院分区：
文献类型：
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作者：
E. Witten
物质的对称性保护拓扑（SPT）相已经被解释为异常，并且预计类似的图片应该适用于带有费米子的SPT相。在这里，我们详细描述了这幅图对量子物质的相位意味着什么，这些相位可以通过能带理论和自由费米子来理解。我们考虑的主要例子是2或3维空间中的时间反演不变拓扑绝缘体和超导体。沿着的方式，我们澄清的声明，在一个三维拓扑绝缘体的体积，电磁角等于的确切含义。
Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with fermions. Here, we describe in detail what this picture means for phases of quantum matter that can be understood via band theory and free fermions. The main examples we consider are time-reversal invariant topological insulators and superconductors in 2 or 3 space dimensions. Along the way, we clarify the precise meaning of the statement that in the bulk of a 3d topological insulator, the electromagnetic -angle is equal to .