# Bound states in the continuum and Majorana zero modes in a double quantum dot interferometer: Ghost-Fano Majorana effect

## TL;DR

This paper explores how magnetic flux influences bound states and Majorana zero modes in a double quantum dot interferometer coupled to topological superconductors, revealing controllable transport phenomena and state manipulations.

## Contribution

It demonstrates the control of bound states and Majorana modes via magnetic flux in a double quantum dot system with topological superconductors, highlighting a novel manipulation mechanism.

## Key findings

- Bound states emerge in symmetric configurations of topological superconductors.
- Magnetic flux causes transport suppression anomalies.
- Flux controls the projection of Majorana modes and bound states in the density of states.

## Abstract

We investigate the transport properties through a nanostructure composed of parallel double quantum dots coupled to two normal contacts. Additionally, each quantum dot is connected to a topological superconducting nanowire, hosting Majorana zero modes at its ends. A magnetic flux threading across the area enclosed by the interferometer is considered. First, we investigate the physical quantities of the system employing Green's function formalism. We find that the emergence of bound states appears in symmetric configurations of topological superconducting nanowires, i.e., depending on their lengths and coupling energies to the quantum dots. Also, we find a transport suppression anomaly as a function of the magnetic flux in the same symmetric configurations mentioned above. Besides, we find that the magnetic flux controls both the projection of Majorana zero modes and of the bound states in the continuum into the density of states and the linear conductance, suggesting that only by switching this parameter can we manipulate both bound states.