Accessing different topological classes and types of Majorana edge states in 1D p-wave superconductors using perturbations

Classification and realization of various classes of topological superconductors with different types of Majorana bound states (MBS) is of ongoing interest. The standard platform of these studies have been the conventional 1D Kitaev wire and its realizations. Here, we present the edge states of different types of p-wave SC in 1D in the presence of an additional Zeeman field and s-wave SC component. Within the framework of the tenfold classification scheme, we study the transition between different topological classes caused by such perturbations and analyze the nature of the corresponding MBS. Further, we study the junctions between different classes of topological superconductors and explore transport properties to probe the mid-gap states.