Majorana Bound State leakage to impurity in Su-Schrieffer-Heeger-Rashba scenario

Abstract

We show anomalous features of Majorana Bound State leakage in the situation where topological Rashba nanowire is dimerized according to the Su-Schrieffer-Heeger (SSH) scenario and an impurity is present at one of the ends of the system. We find that two topological branches: usual, indigenous to Rashba nanowire and dimerized one, existing as a result of SSH dimerization of nanowire, have different asymmetry of spin polarization that can be explained by opposite order of bands taking part in topological transitions. Additionally, introduction of an impurity to the dimerized nanowire influences the leakage of Majorana bound states into the trivial impurity, due to the emergence of Andreev bound states that behave differently whether the system is or is not in topological phase. This results in the pinning of zero energy states to the impurity site for some range of parameters.