# Fano-Majorana effect and bound states in the continuum on a crossbar-shaped quantum dot hybrid structure

## TL;DR

This paper explores the interaction of Majorana bound states with quantum dots in a crossbar structure, revealing bound states in continuum, Fano interference effects, and their impact on transport properties.

## Contribution

It demonstrates the existence of bound states in continuum and Fano effects in a quantum dot coupled to topological superconductors with Majorana states, highlighting new interference phenomena.

## Key findings

- Observation of bound states in continuum in MBS spectral function
- Splitting of BICs with finite MBS coupling and projection as quasi-BICs
- Detection of Fano interference with half-integer amplitude modulation

## Abstract

We investigate transport properties through a crossbar-shaped structure formed by a quantum dot (QD) coupled to two normal leads and embedded between two one-dimensional topological superconductors (TSCs). Each TSC hosts Majorana bound states (MBSs) at its ends, which can interact between them with an effective coupling strength. We find a signature of bound states in continuum (BIC) in the MBSs spectral function. By allowing finite inter MBSs coupling, BICs splitting is observed and shows projection in transmission for asymmetric coupling case as cuasi-BICs. As a consequence, we also show that the Fano effect, arising from interference phenomena between MBSs hybridization trough QD, is observed with a half-integer amplitude modulation. We believe our findings can help to better understand the properties of MBSs and their interplay with QDs.