Proximity Effect on the Density of States and Majorana Bound States in a Thin Superconducting Ferromagnetic Nanowire

This article presents analysis on the identification of Majorana states in a model of a heterogeneous superconducting ferromagnetic nanowire. It is demonstrated the significant effect that the exchange field has on the energy of bound in-gap states and on the density of states (DOS) itself, which appear as a periodic dependence of the DOS on the magnitude of the field as well as the dislocation in energy of the Majorana state candidate, located at zero energy in absence of the exchange field. Furthermore, the proximity effect is demonstrated to have observable consequences in a superconductor even in the clean limit. The model is a unidimensional system of fermions subject to a p-wave order parameter. The quasiclassical method is employed through the Eilenberger equations resulting in explicit expressions for the DOS, readily testable experimentally.