Edge superconducting state in attractive U Kane-Mele-Hubbard model

Abstract

We theoretically investigate the phase transition from topological insulator (TI) to superconductor in the attractive U Kane-Mele-Hubbard model with self-consistent mean field method. We demonstrate the existence of edge superconducting state (ESS), in which the bulk is still an insulator and the superconductivity only appears near the edges. The ESS results from the special energy dispersion of TI, and is a general property of the superconductivity in TI. The phase transition in this model essentially consists of two steps. When the attractive U becomes nonzero, ESS appears immediately. After the attractive U exceeds a critical value $U_c$, the whole system becomes a superconductor. The effective model of the ESS has also been discussed and we believe that the conception of ESS can be realized in atomic optical lattice system.

6 pages, 4 figures

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Cited by in corpus (6)

• Correlation effects in two-dimensional topological insulators
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Effects of short-ranged interactions on the Kane-Mele model without discrete particle-hole symmetry
• Tuning electronic pairing by uniaxial strain in kagome lattices
• Superconductivity in a Topological Lattice Model with Strong Repulsion