Gapless Topological Superconductors - Model Hamiltonian and Realization

Abstract

The existence of an excitation gap in the bulk spectrum is one of the most prominent fingerprints of topological phases of matter. In this paper, we propose a family of two dimensional Hamiltonians that yield an unusual class $D$ topological superconductor with a gapless bulk spectrum but well-localized Majorana edge states. We perform a numerical analysis for a representative model of this phase and suggest a concrete physical realization by analyzing the effect of magnetic impurities on the surface of strong topological insulators.

9 pages, 10 figures

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Cited by in corpus (13)

• Topological superconductors: a review
• Gapless Symmetry Protected Topological Order
• Dual topology in Jacutingaite Pt${}_2$HgSe${}_3$
• Symmetry Protected Topological Metals
• Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
• Antiferromagnetism-driven two-dimensional topological nodal-point superconductivity
• Geometric Criterion for Solvability of Lattice Spin Systems
• Majorana fermions in finite-size strips with in-plane magnetic fields
• Exact chiral spin liquid state in a Kitaev type spin model
• On topological transitions in metals
• Induced Half-Metallicity and Gapless Topological Superconductivity in the CrI${}_3$-Pb Interface
• Nested Defects on the Boundary of Topological Superconductors
• Topological physics in quantum critical systems