The coupled electromagnetic field effects on quantum transport in an electrically modulated graphene

• We explore the electromagnetic field effect on the magnetotransport in graphene.
• We analytically derive the dc conductivity for Dirac and conventional electrons.
• The Weiss oscillations are much more robust than the conventional electrons.
• The oscillations with magnetic and electric modulations have a π phase shift.
• The electromagnetic field could enhance the Weiss oscillations.

Recent experiments have revealed that the periodic graphene ripples can cause a periodic potential. Motivated by this, we have explored the electromagnetic field effects on the transport of graphene subjected to an electric periodic potential. Comparing with recently obtained results for magnetically modulated graphene, we also find an abrupt disappearance of oscillations in the magnetoconductivity at γe=1γe=1, and in a strong magnetic field, the Shubnikov–de Haas oscillations on it are superimposed on the Weiss oscillations. However, these oscillations with the electric and magnetic modulations have a π phase shift. Our results should be valuable for electronic applications of graphene.