Irradiated graphene as a tunable Floquet topological insulator

By G. Usaj, P. Perez-Piskunow, Luis E. F. Foa Torres, C. Balseiro. 2014

274 citations recorded by the source corpus.

In the presence of a circularly polarized mid-infrared radiation graphene develops dynamical band gaps in its quasienergy band structure and becomes a Floquet insulator. Here, we analyze how topologically protected edge states arise inside these gaps in the presence of an edge. Our results show that the gap appearing at $\ensuremath{\hbar}\ensuremath{\Omega}/2$, where $\ensuremath{\hbar}\ensuremath{\Omega}$ is the photon energy, is bridged by two chiral edge states whose propagation direction is set by the direction of the polarization of the radiation field. Therefore, both the propagation direction and the energy window where the states appear can be controlled externally. We present both analytical and numerical calculations that fully characterize these states. This is complemented by simple topological arguments that account for them and by numerical calculations for the case of the semi-infinite sample, thereby eliminating finite-size effects.

Subfields: Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/fc3ed32ea598d4005bb8442c73c716fdb3231a8d

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

Citations in the corpus

Floquet topological transitions in a driven one-dimensional topological insulator (2015, background): “…has already been observed [18] and new experiments [19–21] and theories are being developed to unveil the states’ ﬁngerprint of their topology [8,22–25], e.g., the bulk boundary correspondence [26–28], their dynamics [29,30], occupation [31,32], transport properties [33–36], and the connection…”
Perspective on topological states of non-Hermitian lattices (2019, background): “states (see [147, 148, 149]), so the spectrum can be considered as effectively complex!”
Light-induced anomalous Hall effect in graphene (2018, unknown): “…as E F is moved outside of Δ 0 may depend on multiple factors, including the Berry curvature and non-equilibrium electron distributions in the Floquet bands, which is influenced by the frequency, amplitude and pulse-shape of the laser, as well as disorder, interactions and dissipation 4,15,29–33 .”