论文标题
2D相互作用的费米子系统中晶体拓扑超导体和绝缘体的真实空间结构
Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems
论文作者
论文摘要
在过去的几年中，对相互作用的骨气和费米子系统中的结晶对称性保护拓扑（SPT）阶段的构建和分类进行了深入研究。 Crystalline SPT阶段不仅具有概念上的重要性，而且还为实验实现提供了巨大的机会，因为空间群体的对称性自然存在于任何现实的材料中。在本文中，我们通过使用明确的真实空间结构来系统地将晶体拓扑超导体（TSC）和拓扑绝缘器（TS）和拓扑绝缘器（TI）分类。特别是，我们发现了一个有趣的费米晶体拓扑超导体，该超导体只能在相互作用的费米子系统（即，在自由屈服或波索尼克SPT系统中）实现。此外，我们还验证了通用2D相互作用的费米子系统的最近猜想的晶体等效原理。
The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases are not only of conceptual importance, but also provide great opportunities towards experimental realization since space group symmetries naturally exist for any realistic material. In this paper, we systematically classify the crystalline topological superconductors (TSC) and topological insulators (TI) in 2D interacting fermionic systems by using an explicit real-space construction. In particular, we discover an intriguing fermionic crystalline topological superconductor that can only be realized in interacting fermionic systems (i.e., not in free-fermion or bosonic SPT systems). Moreover, we also verify the recently conjectured crystalline equivalence principle for generic 2D interacting fermionic systems.
