Inducing anisotropies in Dirac fermions by periodic driving

Abstract

We consider the three-dimensional Hamiltonian for Bi${}_2$Se${}_3$, a second-generation topological insulator, under the effect of a periodic drive for both in-plane and out-of-plane fields. As it will be shown by means of high-frequency expansions up to second order in the Floquet Hamiltonian, the driving induces anisotropies in the Dirac cone and opens up a quasienergy gap for in-plane elliptically polarized fields. Analytic expressions are obtained for the renormalized velocities and the quasienergy gap. These expressions are then compared to numerical calculations performed by discretizing the Hamiltonian in a one-dimensional lattice and following a staggered fermion approach, achieving a remarkable agreement. We believe our work may have an impact on the transport properties of topological insulators.

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Cited by in corpus (2)

• Engineering Floquet topological phases using elliptically polarized light
• Floquet topological phases on a honeycomb lattice using elliptically polarized light