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Graphene under bichromatic driving: commensurability and spatio-temporal symmetries

Abstract

We study the non-linear current response of a Dirac model that is coupled to two time-periodic electro-magnetic fields with different frequencies. We distinguish between incommensurable and commensurable frequencies, the latter characterized by Ω2 = (pq1 with co-prime integers p and q. Coupling the (effective) two-level system to a dissipative bath ensures a well-defined long-time solution for the reduced density operator and, thus, the current. We then analyze the spatio-temporal symmetries that force certain current components to vanish and close with conclusions for directed average currents.

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Author information

Correspondence to Tobias Stauber.

Additional information

Contribution to the Topical Issue “Advances in Quasi-Periodic and Non-Commensurate Systems”, edited by Tobias Stauber and Sigmund Kohler.

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Kohler, S., Stauber, T. Graphene under bichromatic driving: commensurability and spatio-temporal symmetries. Eur. Phys. J. B 93, 24 (2020). https://doi.org/10.1140/epjb/e2020-100509-8

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