Magnetic barrier on strained graphene: A possible valley filter

We put forward a two-terminal valley filter based on a bulk graphene sheet under the modulations of both a local perpendicular magnetic field and a substrate strain. When only one of the two modulations is present, no valley polarization can be generated. A combination of the two modulations leads to a different (but not opposite) shifts of the K and K' valleys, which could be utilized to generate a valley-polarized current. The degree of the valley polarization can be tuned by the strain strength and the inclusion of a scalar potential. The valley polarization changes its polarity as the local magnetic field switches its direction.

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This work was supported by NSFC (Grants No. 10704013, No. 60525405, and No. 10874175), RFDP (Grant No. 200801411042), the Fundamental Research Funds for the Central Universities (Grant No. DUT10LK36), and the Swedish International Development Cooperation Agency (SIDA). K. C. acknowledges support from the Chinese Academy of Sciences. H.Q.X. acknowledges support from the Swedish Research Council VR and from the Swedish Foundation for Strategic Research SSF through the Nanometer Structure Consortium at Lund University.

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This work was supported by NSFC (Grants No. 10704013, No. 60525405, and No. 10874175), RFDP (Grant No. 200801411042), the Fundamental Research Funds for the Central Universities (Grant No. DUT10LK36), and the Swedish International Development Cooperation Agency (SIDA). K. C. acknowledges support from the Chinese Academy of Sciences. H.Q.X. acknowledges support from the Swedish Research Council VR and from the Swedish Foundation for Strategic Research SSF through the Nanometer Structure Consortium at Lund University.