Floquet engineering of long-range p-wave superconductivity

TL;DR

This paper explores how periodic driving (Floquet engineering) can induce and control long-range p-wave superconductivity and Majorana fermions in a one-dimensional Kitaev model, predicting new phase transitions and experimental signatures.

Contribution

It provides a comprehensive theoretical analysis of Floquet-induced topological phases and Majorana states in a driven Kitaev chain, including phase transition predictions and manipulation methods.

Findings

Prediction of new topological phase transitions due to ac field control

Identification of signatures of Majorana states in experiments

Analysis of monochromatic driving across frequency regimes

Abstract

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven one-dimensional Kitaev model. By controlling the ac fields, we can predict new topological phase transitions that should give rise to signatures of Majorana states in experiments. Moreover, the knowledge of the time-dependence of these Majorana states allows one to manipulate them. Our work contains a complete analysis of the monochromatic driving in different frequency regimes.