Determination of Cooper pairs and Majorana fermions currents ratio in DC-SQUID with topologically nontrivial barriers

TL;DR

This paper numerically investigates the phase dynamics of a DC-SQUID with topologically trivial and nontrivial barriers, focusing on the interplay between Cooper pairs and Majorana fermions currents to enable their ratio determination.

Contribution

It introduces a numerical method to analyze the magnetic field dependence of return current in DC-SQUIDs considering both Cooper pairs and Majorana fermions currents, revealing a way to measure their ratio.

Findings

Magnetic field dependence of return current is affected by the ratio of Cooper pairs to Majorana fermions.

The periodicity of the magnetic field dependence is displaced by the ratio of the two current components.

The study provides a potential experimental approach to determine the ratio of Cooper pairs and Majorana fermions currents.

Abstract

We present the results of numerical study of the phase dynamics of the DC-SQUID with topologically trivial and nontrivial barriers. In our calculations we take into account two components of supperconducting current, Cooper pairs ($2\pi$-periodic) and Majorana fermions ($4\pi$-periodic) currents. Magnetic field dependence of return current is presented. The qualitative behavior of this dependence is explained. We show that in case of two component superconducting current the periodicity of magnetic field dependence of return current displaced by Cooper pairs and Majorana fermion ratio over the magnetic field. This effect makes possible the experimental determination of ratio of Cooper pairs and Majorana fermions currents.