Even-odd parity effects in Majorana junctions

TL;DR

This paper investigates how the conductance in Majorana junctions with multiple nanowires exhibits even-odd parity effects depending on the number of wires and their coupling topology.

Contribution

It provides a comprehensive analysis of parity effects in complex Majorana junctions with arbitrary coupling configurations.

Findings

Parity effects depend on the number of wires and their coupling topology.

Conductance exhibits distinct signatures for even and odd numbers of wires.

Results can guide experimental detection of Majorana states in nanowire networks.

Abstract

We study a general Majorana junction, where N helical nanowires are connected to a common s-wave superconductor proximity-inducing Majorana bound states in the wires. The normal part of each wire (j=1,...,N) acts as connected lead, where electrons can tunnel into the respective Majorana state \gamma_{A,j}. The Majorana states at the other end, \gamma_{B,j}, are coupled to each other by an arbitrary tunnel matrix. We examine the conditions for even-odd parity effects in the tunnel conductance for various junction topologies.