Floquet engineering of the Lifshitz phase transition in the Hubbard model

TL;DR

This paper shows how high-frequency electromagnetic fields can induce a Lifshitz phase transition in a 1D Hubbard model, altering its Fermi surface topology and promoting superconducting fluctuations.

Contribution

It introduces a method to control topological phase transitions in quantum materials using Floquet engineering with off-resonant light.

Findings

Induces Lifshitz transition changing Fermi points from two to four.

Facilitates emergence of superconducting fluctuations.

Discusses experimental conditions for observing the effect.

Abstract

Within the Floquet theory of periodically driven quantum systems, we demonstrate that an off-resonant high-frequency electromagnetic field can induce the Lifshitz phase transition in periodical structures described by the one-dimensional repulsive Hubbard model with the nearest and next-nearest-neighbor hopping. The transition changes the topology of electron energy spectrum at the Fermi level, transforming it from the two Fermi points to the four Fermi points, which facilitates the emergence of the superconducting fluctuations in the structure. Possible manifestations of the effect and conditions of its experimental observability are discussed.