Effect of magnetic impurities in chiral p-wave superconducting nanoloops

Abstract

The effect of many magnetic impurities in symmetric chiral p-wave superconducting nanoloops is investigated by numerically solving the BdG equations self-consistently. Two magnetic impurities can lead to the appearance of two impurity bound levels close to the Fermi level. The arising bound states can cross the Fermi level at the same impurity strength for the case of two independent midway impurities, while multiple zero-energy states can be obtained at two separated values of impurity strength when two independent edge impurities are present. Moreover, the multiple zero modes can only show up for appropriate relative positions between two edge impurities due to the quantum interference effect. Particularly, for some appropriate strength of two independent midway impurities, the impurity bound levels cross the Fermi level twice with increasing threaded flux, while the multiple zero modes can not emerge in the flux evolution.