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arXiv 1406.0307cond-mat.str-el
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CPT定理与拓扑绝缘体和超导体的分类

CPT theorem and classification of topological insulators and superconductors

Chang-Tse Hsieh, Takahiro Morimoto, Shinsei Ryu

摘要:

我们提出了一个系统的拓扑分类的费米和玻色子的拓扑相位保护的时间反演,粒子洞,宇称,这些对称性的组合。我们使用两个互补的方法:一个在K-理论分类的缺口二次费米子理论的对称性,和其他方面的K-矩阵理论描述的边缘理论的(2+1)维体理论。第一种方法是特定的自由费米子理论在一般的空间维度,而第二种方法是有限的两个空间维度,但纳入相互作用的影响。本文还阐明了CPT定理在保序拓扑相分类中的作用,特别指出了CPT定理与拓扑超导体的关系。

英文摘要:

We present a systematic topological classification of fermionic and bosonic topological phases protected by time-reversal, particle-hole, parity, and combination of these symmetries. We use two complementary approaches: one in terms of K-theory classification of gapped quadratic fermion theories with symmetries, and the other in terms of the K-matrix theory description of the edge theory of (2+1)-dimensional bulk theories. The first approach is specific to free fermion theories in general spatial dimensions while the second approach is limited to two spatial dimensions but incorporates effects of interactions. We also clarify the role of CPT theorem in classification of symmetry-protected topological phases, and show, in particular, topological superconductors dis- cussed before are related by CPT theorem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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