Tunable valley Hall effect in gate-defined graphene superlattices

Johannes H. J. Martiny*, Kristen Kaasbjerg, Antti-Pekka Jauho

*Corresponding author for this work

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We theoretically investigate gate-defined graphene superlattices with broken inversion symmetry as a platform for realizing tunable valley-dependent transport. Our analysis is motivated by recent experiments [C. Forsythe et al., Nat. Nanotechnol. 13, 566 (2018)] wherein gate-tunable superlattice potentials have been induced on graphene by nanostructuring a dielectric in the graphene/patterned-dielectric/gate structure. We demonstrate how the electronic tight-binding structure of the superlattice system resembles a gapped Dirac model with associated valley-dependent transport using an unfolding procedure. In this manner we obtain the valley Hall conductivities from the Berry curvature distribution in the superlattice Brillouin zone, and demonstrate the
tunability of this conductivity by the superlattice potential. Finally, we calculate the valley Hall angle relating the transverse valley current and longitudinal charge current and demonstrate the robustness of the valley currents against irregularities in the patterned dielectric.
Original languageEnglish
Article number155414
JournalPhysical Review B
Issue number15
Number of pages11
Publication statusPublished - 2019


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