Boundary Potential Method for Describing Electron Teleportation in an Interferometer with a Topological Superconductor

TL;DR

This paper introduces a boundary potential method based on scattering theory to analyze electron teleportation in topological superconductor interferometers, accounting for charging effects and system details.

Contribution

The authors propose a novel boundary potential approach to calculate conductance in systems with Majorana modes under electron number constraints.

Findings

The method accurately models resonant tunneling and electron teleportation.

It incorporates charging energy effects into conductance calculations.

The approach provides detailed insights into transport properties in topological superconducting systems.

Abstract

One-dimensional topological superconductors accommodate a pair of Majorana zero modes at their ends. In an interferometer containing such a topological superconductor, electron transport is significantly affected by the Majorana zero modes constituting a non-local state localized near both ends of the superconductor. When the number of electrons $\mathcal{N}$ in the superconductor is constrained by a charging effect, the resonant tunneling through the non-local state is expected to result in unusual transport properties. This resonant tunneling, called electron teleportation, is not easy to describe because there is no simple method to handle the constraint on $\mathcal{N}$. Here, we propose a boundary potential method based on scattering theory for calculating the conductance of the interferometer under a given constraint on $\mathcal{N}$. This method enables us to calculate the conductance taking account of relevant charging energy and details of the system.