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Graphene under bichromatic driving: commensurability and spatio-temporal symmetries

Sigmund Kohler and Tobias Stauber ()
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Sigmund Kohler: Instituto de Ciencia de Materiales de Madrid, CSIC
Tobias Stauber: Instituto de Ciencia de Materiales de Madrid, CSIC

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 2, 1-8

Abstract: 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 = (p∕q)Ω1 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. Graphical abstract

Date: 2020
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DOI: 10.1140/epjb/e2020-100509-8

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