Coupled wire models of interacting Dirac nodal superconductors

Moon Jip Park, Syed Raza, Matthew J. Gilbert, Jeffrey C.Y. Teo

Research output: Contribution to journalArticle


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 E8 topological order that is closely related to the cancellation of the large gravitational anomaly.

Original languageEnglish (US)
Article number184514
JournalPhysical Review B
Issue number18
StatePublished - Nov 21 2018


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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