arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.14500cond-mat.str-el
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具有铰链费米弧的自旋为3/2的拓扑二阶液体

Topological second-order spin-3/2 liquids with hinge Fermi arcs

Y. X. Zhao, Y. Lu, Shengyuan A. Yang

摘要:

提出了一个定义在五配位三维石墨晶格上的自旋为3/2的精确可解模型,实现了一种具有二阶拓扑结构的新型量子自旋液体。精确解由耦合到背景$\mathbb{Z}_2$规范场的马约拉纳费米子描述,其基态通量配置产生出一个紧急的偏心时空反演对称性。这种对称性保护了马约拉纳费米子的拓扑非平凡能带结构,特别是包括具有双重拓扑电荷的双线半金属相:第二Stiefel-Whitney数和量子化Berry相。前者导致了系统边界上丰富的拓扑现象。两个半金属相的铰链费米弧位于不同的铰链上,它们被一个临界狄拉克半金属态隔开,表面有螺旋费米弧。此外,我们表明,丰富的对称性/拓扑结构可以在我们的模型中探索通过简单地改变晶格或相互作用的安排。作为一个例子,我们讨论了如何实现一个拓扑间隙相位与表面狄拉克点。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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