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arXiv · 1806.09599

Coupled Wire Models of Interacting Dirac Nodal Superconductors

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

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Moon Jip Park, Syed Raza, Matthew J. Gilbert, Jeffrey C. Y. Teo. 2018-06-25. Coupled Wire Models of Interacting Dirac Nodal Superconductors. https://doi.org/10.1103/physrevb.98.184514

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