Majorana Fermions in Periodically Driven Semiconductor-Superconductor Heterostructure

TL;DR

This paper introduces a method to generate Majorana fermions at the edges of a periodically driven semiconductor-superconductor heterostructure using Floquet theory, with specific conditions on driving parameters.

Contribution

It presents a novel approach to create Majorana fermions via periodic driving and analyzes the effects of Brillouin zone interactions on their formation.

Findings

Majorana fermions can be created when the driven amplitude-to-frequency ratio exceeds a threshold.

Interaction between Brillouin zones imposes a lower limit on the driven frequency for Majorana creation.

The paper discusses experimental protocols for realizing these Majorana fermions.

Abstract

We propose a new approach to create Majorana fermions at the edge of a periodically driven semiconductor-superconductor Heterostructure. We calculate the quasi-energy spectrum of the periodically driven Heterostructure by using the Floquet's theory. When the interaction between different Brillouin zones of quasi-energy is neglected, one Majorana fermion can be created at each edge of the Heterostructure when the ratio of driven amplitude and driven frequency is larger than a minimum. Furthermore, when the interaction between the nearest Brillouin zones of quasi-energy is considered, we restrict the condition of creating Majorana fermions above with a lower limit of the driven frequency. We also discuss the experimental protocol of creating Majorana fermions in the periodically driven Heterostructure.