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Edge impurities in the superconducting Kane-Mele model

Raphael Levy Ruscio Castro Teixeira 1 ; Dushko Kuzmanovski 2 ; Annica Black-Schaffer 2 ; Luis G. G. V. Dias da Silva 1
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We studied a finite sample with honeycomb lattice using the Kane-Mele model with superconductivity and local impurity. We analyzed how it affected the energies levels, the superconducting order parameter and free-energy. We also show that zero-energy mode at the end of the chain, might host Majorana’s fermion.