Floquet boundary states in AB-stacked graphite

Abstract

We report on the effect of laser illumination with circularly polarized light on the electronic structure of AB-stacked graphite samples. By using Floquet theory in combination with Green's function techniques, we find that the polarized light induces band-gap openings at the Floquet zone edge $\hslash \Omega /2$, bridged by chiral boundary states. These states propagate mainly along the borders of the constituting layers as evidenced by the time-averaged local density of states and the probability current density in several geometries. Semianalytic calculations of the Chern number suggest that these states are of topological nature, similar to those found in illuminated 2D samples like monolayer and bilayer graphene. These states are promising candidates for the realization of a three-dimensional version of the quantum Hall effect for Floquet systems.

16 pages, 8 figures

References in corpus (19)

• Electric Field Effect in Atomically Thin Carbon Films
• Photovoltaic Hall effect in graphene
• Driven quantum transport on the nanoscale
• Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Irradiated graphene as a tunable Floquet topological insulator
• Tuning laser-induced bandgaps in graphene
• Multiterminal Conductance of a Floquet Topological Insulator
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Dissipative Floquet Topological Systems
• Microscopic theory for the light-induced anomalous Hall effect in graphene
• Effect of radiation on transport in graphene
• Theory of photoinduced Floquet Weyl semimetal phases
• Floquet interface states in illuminated three-dimensional topological insulators
• Non-perturbative laser effects on the electrical properties of graphene nanoribbons
• Effective Floquet Hamiltonian in the low-frequency regime
• Magnetization signatures of light-induced quantum Hall edge states
• Periodic array of quantum rings strongly coupled to circularly polarized light as a topological insulator
• Dynamics of tunneling into nonequilibrium edge states