Fano-Rashba effect in the presence of Majorana bound states

TL;DR

This paper studies how Majorana bound states affect the Fano-Rashba effect in a quantum dot system, revealing their influence on electronic interference patterns and the robustness of bound states in the continuum.

Contribution

It introduces a detailed analysis of the interaction between Majorana bound states and the Fano-Rashba effect using Green's function formalism in a two-channel model.

Findings

Majorana bound states penetrate into the quantum dot, altering interference patterns.

The bound state in the continuum shows robustness against magnetic field variations.

Interaction with Majorana states modifies the electronic transmission profile.

Abstract

In this paper, we investigate the influence of Majorana bound states on the Fano-Rashba effect in a two-channel Fano-Anderson model. Employing Green's function formalism and the equation of motion method, we compute the transmission through the quantum dot and the density of states. Our analysis reveals that the Majorana bound states, localized at the ends of the topological superconductor nanowire, penetrate into the quantum dot, thereby altering the interference pattern in the electronic transmission profile through it, resulting from their interaction with the bound states in the continuum. Furthermore, we explore the robustness of the bound state in the continuum concerning its connection to Majorana bound states and the energy induced by the magnetic field. We posit that our findings contribute to a deeper comprehension of the Fano-Rashba effect in a two-channel quantum dot coupled to a topological superconducting nanowire.