论文标题
拓扑二阶Spin-3/2液体带有铰链费米弧
Topological second-order spin-3/2 liquids with hinge Fermi arcs
论文作者
论文摘要
我们提出了在五型三维石墨晶格上定义的确切可解决的自旋-3/2模型，该模型实现了具有二阶拓扑的新型量子自旋液体。确切的解决方案由Majoraana Fermions描述，耦合到背景$ \ MATHBB {Z} _2 $ GAUGE字段，其地面通量配置产生了出现的出现的偏心时空反转对称性。对称性保护主要的拓扑植物，尤其是包括淋巴线半学相，具有双重拓扑电荷：第二个Stiefel-Whitney数字和量化的浆果相。前者导致系统边界上的丰富拓扑现象。有两个淋巴线半学相，位于不同铰链上的铰链费米弧，它们被带有表面螺旋螺旋弧形的临界狄拉克半学态分开。此外，我们表明可以通过简单地改变晶格或相互作用的布置来探索丰富的对称性/拓扑。例如，我们讨论如何与表面狄拉克点实现拓扑间隙相位。
We present an exactly solvable spin-3/2 model defined on a pentacoordinated three-dimensional graphite lattice, which realizes a novel quantum spin liquid with second-order topology. The exact solutions are described by Majorana fermions coupled to a background $\mathbb{Z}_2$ gauge field, whose ground-state flux configuration gives rise to an emergent off-centered spacetime inversion symmetry. The symmetry protects topologically nontrivial band structures for the Majorana fermions, particularly including nodal-line semimetal phases with twofold topological charges: the second Stiefel-Whitney number and the quantized Berry phase. The former leads to rich topological phenomena on the system boundaries. There are two nodal-line semimetal phases hosting hinge Fermi arcs located on different hinges, and they are separated by a critical Dirac semimetal state with surface helical Fermi arcs. In addition, we show that rich symmetry/topology can be explored in our model by simply varying the lattice or interaction arrangement. As an example, we discuss how to achieve a topological gapped phase with surface Dirac points.
