论文标题
三维相互作用的费米昂系统中晶体拓扑超导体和绝缘体的结构和分类
Construction and classification of crystalline topological superconductor and insulators in three-dimensional interacting fermion systems
论文作者
论文摘要
真实材料中晶体对称性的自然存在表现出理解晶体对称性保护拓扑（SPT）阶段的重要性，尤其是对于相互作用的系统。在本文中，我们使用新颖的拓扑晶体概念在三维（3D）相互作用的费米式系统中系统地构建和分类了所有晶体拓扑超导体和绝缘体。相应的高阶拓扑表面理论也可以通过高阶散装对应关系进行系统地研究。特别是，我们发现一个有趣的事实是，几乎所有具有非平凡2D块状态的拓扑晶体都是本质上相互作用的拓扑阶段，在任何自由屈服系统中都无法实现。此外，还验证了3D相互作用的费米斯系统的结晶等效原理，并在费米子的自旋上具有额外的微妙“扭曲”。
The natural existence of crystalline symmetry in real materials manifests the importance of understanding crystalline symmetry-protected topological (SPT) phases, especially for interacting systems. In this paper, we systematically construct and classify all the crystalline topological superconductors and insulators in three-dimensional (3D) interacting fermion systems using the novel concept of topological crystal. The corresponding higher-order topological surface theory can also be systematically studied via higher-order bulk-boundary correspondence. In particular, we discover an intriguing fact that almost all topological crystals with nontrivial 2D block states are intrinsically interacting topological phases that cannot be realized in any free-fermion systems. Moreover, the crystalline equivalence principle for 3D interacting fermionic systems is also verified, with an additional subtle "twist" on the spin of fermions.
