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

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arxiv 1201.1698 v1 pith:2T3YFRB7 submitted 2012-01-09 cond-mat.supr-con cond-mat.mes-hall

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

Yuan Jie , Jin-Hua Gao , Wei-Qiang Chen , Yi Zhou , Fu-Chun Zhang This is my paper
classification cond-mat.supr-con cond-mat.mes-hall
keywords attractivemodelappearsbecomesedgeinsulatorkane-mele-hubbardphase
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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.

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