Mechanical control over valley magnetotransport in strained graphene

•We explore the mechanical strain effects on the valley magnetotransport in graphene.•We analytically derive the dc collisional and Hall conductivities under strain.•The strain removes the valley degeneracy in Landau levels.•The strain causes a significant valley polarization with inversion symmetry broken.•The strain leads to the well separated valley Hall and Shubnikov–de Haas effects.

Recent experiments report that the graphene exhibits Landau levels (LLs) that form in the presence of a uniform strain pseudomagnetic field with magnitudes up to hundreds of tesla. We further reveal that the strain removes the valley degeneracy in LLs, and leads to a significant valley polarization with inversion symmetry broken. This accordingly gives rise to the well separated valley Hall plateaus and Shubnikov–de Haas oscillations. These effects are absent in strainless graphene, and can be used to generate and detect valley polarization by mechanical means, forming the basis for the new paradigm “valleytronics” applications.