Two types of topological transitions in finite Majorana wires

Motivated by the recent advances in studying Majorana states in nanowires under conditions of the superconducting proximity effect, we address the correspondence between the common topological transition in an infinite system and a topological transition of another type that manifests itself in the positions of the poles of the scattering...

Phenomenology and dynamics of a Majorana Josephson junction

We derive a generic phenomenological model of a Majorana Josephson junction that accounts for avoided crossing of Andreev states, and investigate its dynamics at constant bias voltage to reveal an unexpected pattern of an any-? Josephson effect in the limit of slow decoherence: sharp peaks in noise not related to any definite fraction of...

Topological Properties of Superconducting Junctions

Motivated by recent developments in the field of one-dimensional topological superconductors, we investigate the topological properties of s-matrix of generic superconducting junctions where dimension should not play any role. We argue that for a finite junction the s-matrix is always topologically trivial. We resolve an apparent contradiction...