双色驱动下的石墨烯：可公度性和时空对称性
Graphene under bichromatic driving: Commensurability and spatio-temporal symmetries
摘要：
研究了耦合到两个不同频率的时间周期电磁场中的狄拉克模型的非线性电流响应。我们区分不可重复和可重复频率，后者的特征在于它们与互质整数p和q的比值p/q。耦合的（有效的）两级系统的耗散浴，确保了一个明确的长期解决方案的减少密度运营商，因此，目前。然后，我们分析的时空对称性，迫使某些电流分量消失，并关闭与定向平均电流的结论。
英文摘要：
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 their ratio p/q 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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