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In tight binding approximation the explicit form of the electron energy in graphene superlattice was derived. The possibility of propagation of the cnoidal waves in graphene superlattice was discussed. The direct current induced perpendicularly to the superlattice axis by cnoidal and sinusoidal electromagnetic waves under the presence of longitudinal constant electric field was calculated. Such direct current was shown to change its direction when the intensity of longitudinal electric field changes its absolute value.

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