Floquet topological phases coupled to environments and the induced photocurrent

Abstract

We consider the fate of a helical edge state of a spin Hall insulator and its topological transition in presence of a circularly polarized light when coupled to various forms of environments. A Lindblad type equation is developed to determine the fermion occupation of the Floquet bands. We find by using analytical and numerical methods that non-secular terms, corresponding to 2-photon transitions, lead to a mixing of the band occupations, hence the light induced photocurrent is in general not perfectly quantized in the presence of finite coupling to the environment, although deviations are small in the adiabatic limit. Sharp crossovers are identified at frequencies $\Omega$ and $\frac{1}{2}\Omega$ ($\Omega$ is the strength of light-matter coupling) with the former resembling to a phase transition.

7+4 pages, 6+2 figures

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Cited by in corpus (8)

• Periodic thermodynamics of the Rabi model with circular polarization for arbitrary spin quantum numbers
• Floquet-state cooling
• Dynamical spin-to-charge conversion on the edge of quantum spin Hall insulator
• Semi-Quantized Spin Pumping and Spin-Orbit Torques in Topological Dirac Semimetals
• Periodic thermodynamics of a two spin Rabi model
• Photocurrent and photoconductance of an helical edge state
• The Rabi problem with elliptic polarization
• Inelastic tunneling through normal and superconducting junctions in the presence of photonic bath within Lindbladian formalism