论文标题
相互作用启用了分数高阶拓扑阶段
Interaction Enabled Fractonic Higher-Order Topological Phases
论文作者
论文摘要
在这项工作中，我们介绍了三维高阶对称性受保护的拓扑阶段（HOSPTS）的集合，这些拓扑阶段（HOSPTS）具有无间隙的铰链模式，这些模式仅存在于受子系统对称性约束的强烈相互作用系统中。我们使用耦合的电线结构来产生三个微观晶格模型的家族：具有螺旋铰链模式的绝缘体，具有手性majorage MajoraNA铰链模式的超导体以及带有分数电荷的螺旋铰链模式的分数绝缘子。特别是，这些HOSPT不需要空间对称性保护，而是受子系统对称性的保护，并支持仅在系统的低维子术中移动的“分数”准粒子激发。我们分析了边界理论和纠缠哈密顿量的异常结构，并表明这些HOSPTS的侧面表面虽然被部分掩盖，但表现出对称异常，并且只能被实现为三维HOSPT阶段的边界。
In this work, we present a collection of three-dimensional higher-order symmetry protected topological phases (HOSPTs) with gapless hinge modes that exist only in strongly interacting systems subject to subsystem symmetry constraints. We use a coupled wire construction to generate three families of microscopic lattice models: insulators with helical hinge modes, superconductors with chiral Majorana hinge modes, and fractionalized insulators with helical hinge modes that carry fractional charge. In particular, these HOSPTs do not require spatial symmetry protection, but are instead protected by subsystem symmetries, and support "fractonic" quasiparticle excitations that move within only a low-dimensional sub-manifold of the system. We analyze the anomaly structure for the boundary theory and the entanglement Hamiltonian, and show that the side surfaces of these HOSPTs, despite being partially gapped, exhibit symmetry anomalies, and can only be realized as the boundary of three-dimensional HOSPT phases.
