Abstract
We show that chiral co-propagating Luttinger liquid edge modes can be created and tuned by shining high-frequency, (time-reversal breaking) circularly polarized light, normal to the layers. The one-dimensional chiral modes can be localized either at the edge of the system or at a domain-wall created when different portions of the graphene sheet are irradiated by oppositely polarized light; the number of such modes depends on the mismatch of Chern numbers across the boundary or domain wall. These modes, under a high-frequency drive, essentially have a static charge distribution and form a chiral Luttinger liquid under Coulomb interaction, which can be tuned by means of the driving parameters. We also note that unlike the Luttinger liquids created by electrostatic confinement in bilayer graphene, here there is no back-scattering, and hence our wires along the edge or domain wall are stable to disorder.
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