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Band-edge superconductivity

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arxiv 1410.6103 v2 pith:CC3UWWDP submitted 2014-10-22 cond-mat.supr-con

Band-edge superconductivity

classification cond-mat.supr-con
keywords bandsuperconductivityexampleinteractionssemiconductorsstrongwhenarise
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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