Valley splitter and transverse valley focusing in twisted bilayer graphene
arXiv:1912.03191 · doi:10.1103/PhysRevResearch.2.043151
Abstract
We study transport in twisted bilayer graphene and show that electrostatic barriers can act as valley splitters, where electrons from the () valley are transmitted only to e.g.\ the top (bottom) layer, leading to valley-layer locked currents. We show that such a valley splitter is obtained when the barrier varies slowly on the moiré scale and induces a Lifshitz transition across the junction, i.e.\ a change in the Fermi surface topology. Furthermore, we show that for a given valley the reflected and transmitted current are transversely deflected, as time-reversal symmetry is effectively broken in each valley separately, resulting in valley-selective transverse focusing at zero magnetic field.
13 pages, 13 figures
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- Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
- Theory of intrinsic acoustic plasmons in twisted bilayer graphene
- Moir{é} pattern assisted geometric resonant tunneling in disordered twisted bilayer graphene
- Control of valley optical conductivity and topological phases in buckled hexagonal lattice by orientation of in-plane magnetic field