arXiv · 1206.2739
Impurity Effects on Superconductivity on Surfaces of Topological Insulators
Abstract
A two-dimensional superconductor (SC) on surfaces of topological insulators (TIs) is a mixture of s-wave and helical p-wave components when induced by s-wave interactions, since spin and momentum are correlated. On the basis of the Abrikosov-Gor'kov theory, we reveal that unconventional SCs on the surfaces of TIs are stable against time-reversal symmetric (TRS) impurities within a region of small impurity concentration. Moreover, we analyze the stability of the SC on the surfaces of TIs against impurities beyond the perturbation theory by solving the real-space Bogoliubov-de Gennes equation for an effective tight-binding model of a TI. We find that the SC is stable against strong TRS impurities. The behaviors of bound states around an impurity suggest that the SC on the surfaces of TIs is not a topological SC.
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Yuto Ito, Youhei Yamaji, Masatoshi Imada. 2012-06-13. Impurity Effects on Superconductivity on Surfaces of Topological Insulators. https://doi.org/10.1143/jpsj.81.084707
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