Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials

TL;DR

This paper investigates how periodic laser driving influences Lifshitz and topological phase transitions in bilayer Dirac materials, revealing tunable phase diagrams and Fermi surface changes.

Contribution

It introduces a high-frequency perturbation approach to analyze the interplay of Lifshitz and topological transitions in bilayer Dirac systems under laser driving.

Findings

Phase diagrams show tunable topological and Lifshitz transitions.

Drive amplitude controls the phase transitions.

Effective static models capture the driven system's behavior.

Abstract

We show how transitions between different Lifshitz phases in bilayer Dirac materials with and without spin-orbit coupling can be studied by driving the system. The periodic driving is induced by a laser and the resultant phase diagram is studied in the high frequency limit using the Brillouin-Wigner perturbation approach to leading order. The examples of such materials include bilayer graphene and spin-orbit coupled materials such as bilayer silicene. The phase diagrams of the effective static models are analyzed to understand the interplay of topological phase transitions, with changes in the Chern number and topological Lifshitz transitions, with the ensuing changes in the Fermi surface. Both the topological transitions and the Lifshitz transitions are tuned by the amplitude of the drive.