Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate

TL;DR

This paper investigates the leakage of Majorana quasiparticles in a Rashba nanowire on a superconducting-normal substrate, revealing that leakage depends on specific potentials applied to the normal part, with implications for quantum computing.

Contribution

It introduces a microscopic model to analyze Majorana quasiparticle leakage in hybrid nanowires, highlighting the conditions under which leakage occurs.

Findings

Leakage of Majorana states is possible under certain potentials.

Leakage depends on the potential applied to the normal segment.

The study uses Bogoliubov--de Gennes technique for analysis.

Abstract

Recent experiments show the possibility of realization of the Majorana quasiparticles at the end of the low dimensional structures. In this type of systems, interplay between spin orbit coupling, superconductivity and magnetic field leads to the emergence of the Majorana bound states in the topologically non-trivial phase. Here, we study the nanowire located partially at the normal and superconducting base, using microscopic model of this structure and the Bogoliubov--de~Gennes technique. We discuss the possibility of the leakage of the Majorana bound state, located at the part above superconducting substrate to the part above normal material. We have shown that this is possible only for some specific potential applied to the normal part.