Engineering Floquet topological phases using elliptically polarized light

Abstract

We study a two-dimensional topological system driven out of equilibrium by the application of elliptically polarized light. In particular, we analyze the Bernevig-Hughes-Zhang model when it is perturbed using an elliptically polarized light of frequency $\Omega$ described in general by a vector potential $\mathbf{A}(t)=(A_{0x}\cos (\Omega t),A_{0y}\cos (\Omega t+{\varphi }_0))$. (Linear and circular polarizations can be obtained as special cases of this general form by appropriately choosing $A_{0x}$, $A_{0y}$, and ${\varphi }_0$). Even for a fixed value of ${\varphi }_0$, we can change the topological character of the system by changing the ratio of the $x$ and $y$ components of the drive. We therefore find a rich topological phase diagram as a function of $A_{0x}$, $A_{0y}$ and ${\varphi }_0$. In each of these phases, the topological invariant given by the Chern number is consistent with the number of spin-polarized states present at the edges of a nanoribbon.

arXiv comment7 pages, 4 figures

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• Floquet topological phases on a honeycomb lattice using elliptically polarized light
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• Photoinduced dc Hall current in few-layer black phosphorus with a gate-tunable Floquet gap
• Electronic states bound by repulsive potentials in graphene irradiated by a circularly polarized electromagnetic field
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Emergent Weyl-like points in periodically modulated systems
• Elementary excitations in the hybrid Bose-Fermi system induced by circularly polarized light in a two-dimensional gas of charge carriers with different masses
• Photo-induced directional transport in extended SSH chains
• Optically induced delocalization of electrons bound by attractive potentials