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Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon · Around

2011

Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon

Gu, Zhenghao, Fertig, H. A., Arovas, Daniel P. et al.

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Graphene subject to a spatially uniform, circularly-polarized electric field supports a Floquet spectrum with properties akin to those of a topological insulator, including non-vanishing Chern numbers associated with bulk bands and current-carrying edge states.

Transport properties of this system however are complicated by the non-equilibrium occupations of the Floquet states.
We address this by considering transport in a two-terminal ribbon geometry for which the leads have well-defined chemical potentials, with an irradiated central scattering region.
We demonstrate the presence of edge states, which for infinite mass boundary conditions may be associated with only one of the two valleys.

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In a general structure subject to a time-dependent potential there may be current even in the absence of DC bias across the system. One may show for that this is not the case the case for this structure, so that for small biases V V the time-averaged current is G V GV
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