Coupled wire models of interacting Dirac nodal superconductors
- Authors
- Park, Moon Jip; Raza, Syed; Gilbert, Matthew J.; Teo, Jeffrey C. Y.
- Issue Date
- Nov-2018
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW B, v.98, no.18, pp.1 - 24
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW B
- Volume
- 98
- Number
- 18
- Start Page
- 1
- End Page
- 24
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/190928
- DOI
- 10.1103/PhysRevB.98.184514
- ISSN
- 2469-9950
- Abstract
- 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 noninteracting 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 nontrivial topological order. We also construct a special case of N = 16 Dirac fermions where the corresponding gapping interaction leads to a trivial E-8 topological order that is closely related to the cancellation of the large gravitational anomaly.
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