Floquet Majorana Fermions in superconducting quantum dots

TL;DR

This paper explores how periodic driving of superconducting quantum dots can induce and control Floquet Majorana fermions, revealing new configurations where these quasiparticles can exist.

Contribution

It demonstrates the emergence and tunability of Floquet Majorana fermions in driven quantum dot systems, expanding the understanding of topological states under periodic driving.

Findings

Identification of conditions for Floquet Majorana fermions

Prediction of new parameter regimes with Majorana states

Analysis of symmetry effects on Majorana localization

Abstract

We consider different configurations of ac driven quantum dots coupled to superconductor leads where Majorana fermions can exist as collective quasiparticles. The main goal is to tune the existence, localization and properties of these zero energy quasiparticles by means of periodically driven external gates. In particular, we analyze the relevance of the system and driving symmetry. We predict the existence of different sweet spots with Floquet Majorana fermions in configurations where they are not present in the undriven system.