Phenomenology and Dynamics of Majorana Josephson Junction

TL;DR

This paper develops a phenomenological model for Majorana Josephson junctions, revealing complex dynamics and an unexpected pattern of Josephson effect at slow decoherence, advancing understanding of topological superconducting systems.

Contribution

It introduces a generic phenomenological model that captures avoided crossings and explores the junction's dynamics under bias, uncovering novel Josephson effect patterns.

Findings

Revealed an unexpected pattern of any- Josephson effect.

Demonstrated the importance of avoided crossing of Andreev states.

Analyzed the junction dynamics at constant bias voltage.

Abstract

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 any-\pi\ Josephson effect in the limit of slow decoherence.