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

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

Original languageEnglish (US)
Article number184514
JournalPhysical Review B
Volume98
Issue number18
DOIs
StatePublished - Nov 21 2018

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Fermions
Excitation energy
Superconducting materials
Vortex flow
wire
Wire
Fermi surface
Crystal symmetry
Ports and harbors
fermions
vortices
Mirrors
Energy gap
harbors
interactions
symmetry
cancellation
excitation
Fermi surfaces
degrees of freedom

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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Coupled wire models of interacting Dirac nodal superconductors. / Park, Moon Jip; Raza, Syed; Gilbert, Matthew J.; Teo, Jeffrey C.Y.

In: Physical Review B, Vol. 98, No. 18, 184514, 21.11.2018.

Research output: Contribution to journalArticle

Park, Moon Jip ; Raza, Syed ; Gilbert, Matthew J. ; Teo, Jeffrey C.Y. / Coupled wire models of interacting Dirac nodal superconductors. In: Physical Review B. 2018 ; Vol. 98, No. 18.
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