Band-edge superconductivity

Abstract

We show that superconductivity can arise in semiconductors with a band in the shape of a Mexican hat when the chemical potential is tuned close to the band edge, but not intersecting the band, as long as interactions are sufficiently strong. Hence, this is an example where superconductivity can emerge from a band insulator when interactions exceed a threshold. Semiconductors with simple cubic symmetry point groups and with strong spin-orbit coupling provide an example of a system with such band dispersion.

4+epsilon pages, 1 figure, 1 supplemental material

References in corpus (3)

• Topological Change of the Fermi Surface in Low Density Rashba Gases: Application to Superconductivity
• Photo-induced superconductivity in semiconductors
• Topological gaps without masses in driven graphene-like systems

Cited by in corpus (6)

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• Tetragonal Mexican-Hat Dispersion and Switchable Half-Metal State with Multiple Anisotropic Weyl Fermions in Penta-Graphene
• Superfluid-insulator transition and the BEC-BCS crossover in the Rashba moat band