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.

7 pages, 4 figures

References in corpus (9)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Effective Theory of Floquet Topological Transitions
• Modulated Floquet Topological Insulators
• Topological index for periodically driven time-reversal invariant 2D systems
• Radiation effects on the electronic structure of bilayer graphene
• Floquet band structure of a semi-Dirac system
• Floquet theory of photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated with elliptically polarized light

Cited by in corpus (11)

• Light-induced half-quantized Hall effect and axion insulator
• Effects of topological and non-topological edge states on information propagation and scrambling in a Floquet spin chain
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Optical conductivity of a topological system driven using a realistic pulse
• 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