论文标题
来自组的本质无差异SPT的散装对应关系
Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
论文作者
论文摘要
本质上无间隙的对称性受保护的拓扑阶段（IGSPT）是具有SPT边缘状态的无间隙系统，其性能在具有相同对称性和维度的间隙系统中无法出现。 IGSPT状态来自无间隙系统，在该系统中，低能量（IR）对称组的异常是由延长的无异常显微镜（UV）对称性出现的，我们构建了一个通用框架，用于构建一个晶格模型，用于与IGSPT阶段进行的igSpt阶段，并在群组中逐步建立了一个阶段，并建立了群组的临时，并建立了群组，并建立了同步阶段，并建立了同步阶段，并建立了同步阶段，并构建了台阶，并建立了同步阶段，并构建了台阶 - 扩展对称性。在许多示例中，边缘态保护具有物理透明的机制：扩展的紫外线对称操作泵较低尺寸SPT到IGSPT边缘，将边缘调整为由IR对称性保护的不同SPT之间的（多）临界点。在二维和三维系统中，另一种可能性是，富含对称性的拓扑顺序可以满足新兴的异常，我们称之为富含商对称性的拓扑秩序（QSET），该拓扑秩序（QSET）与边缘相变的非正态紫外线套件截然不同。我们使用QSET顺序构建了可解决的晶格模型。
Intrinsically gapless symmetry protected topological phases (igSPT) are gapless systems with SPT edge states with properties that could not arise in a gapped system with the same symmetry and dimensionality. igSPT states arise from gapless systems in which an anomaly in the low-energy (IR) symmetry group emerges from an extended anomaly-free microscopic (UV) symmetry We construct a general framework for constructing lattice models for igSPT phases with emergent anomalies classified by group cohomology, and establish a direct connection between the emergent anomaly, group-extension, and topological edge states by gauging the extending symmetry. In many examples, the edge-state protection has a physically transparent mechanism: the extending UV symmetry operations pump lower dimensional SPTs onto the igSPT edge, tuning the edge to a (multi)critical point between different SPTs protected by the IR symmetry. In two- and three- dimensional systems, an additional possibility is that the emergent anomaly can be satisfied by an anomalous symmetry-enriched topological order, which we call a quotient-symmetry enriched topological order (QSET) that is sharply distinguished from the non-anomalous UV SETs by an edge phase transition. We construct exactly solvable lattice models with QSET order.
