Coupled wire models of interacting Dirac nodal superconductors
Coupled wire models of interacting Dirac nodal superconductors
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DOI：
10.1103/physrevb.98.184514
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发表时间：
2018-06
影响因子：
3.7
通讯作者：
Moon Jip Park;S. Raza;M. Gilbert;J. C. Teo
中科院分区：
文献类型：
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作者：
Moon Jip Park;S. Raza;M. Gilbert;J. C. Teo
拓扑节点超导体具有以点或线节点费米面为特征的无带隙低能激发。在这项工作中，使用耦合线建设，我们研究拓扑节点超导体，有保护狄拉克节点。在这种结构中，低能电子的自由度被限制在一个三维的导线阵列中，这些导线阵列作为微观超导系统的配对涡旋出现。涡旋阵列具有反铁磁时间反演和镜像滑移对称性，可以保护无质量的狄拉克费米子在单体非相互作用极限下。在这个模型中，我们证明了精确可解的多体相互作用，保持基本的对称性，并引入一个有限的激发能隙。这些间隙的相互作用支持细分和一般导致非平凡的拓扑秩序。我们还构造了一个N=16$ Dirac费米子的特例，其中相应的带隙相互作用导致了一个平凡的E_8 $拓扑序，这个拓扑序与大引力异常的消除密切相关。
Topological nodal superconductors possess gapless low energy excitations that are characterized by point or line nodal Fermi surfaces. In this work, using a coupled wire construction, we study topological nodal superconductors that have protected Dirac nodal points. In this construction, the low-energy electronic degrees of freedom are confined in a three dimensional array of wires, which emerge as pairing vortices of a microscopic superconducting system. The vortex array harbors an antiferromagnetic time-reversal and a mirror glide symmetry that protect the massless Dirac fermion in the single-body non-interacting limit. Within this model, we demonstrate exact-solvable many-body interactions that preserve the underlying symmetries and introduce a finite excitation energy gap. These gapping interactions support fractionalization and generically lead to non-trivial topological order. We also construct a special case of $N=16$ Dirac fermions where corresponding the gapping interaction leads to a trivial $E_8$ topological order that is closely related to the cancellation of the large gravitational anomaly.