Mechanical strain induced valley-dependent quantum magnetotransport of Dirac particles in graphene

• We explore the mechanical strain effects on the magnetotransport in graphene.
• We analytically derive the dc diffusion conductivity for null and finite strain.
• The strain removes the valley degeneracy in inversion symmetric Dirac cones.
• The strain causes the splitting of Landau levels for the different valleys.
• The strain induces the valley-dependence of the dc diffusion conductivity.

We have explored the mechanical strain effects on the magnetotransport in graphene with a 1D electrostatic periodic potential in the presence of a perpendicular magnetic field. We find that, in a strong magnetic field regime, the conductivity exhibits a superposition of the Shubnikov–de Haas and Weiss oscillations in each valley due to the electrical modulation. Especially, the strain removes the valley degeneracy of Landau levels in inversion symmetric Dirac cones. Accordingly, this causes the valley-dependence of the conductivity. These phenomena, absent in a freestanding graphene, are a consequence of the anomalous spectrum of carriers in a fully stained graphene.