Electrostatic Tuning of Bilayer Graphene Edge Modes

Nanomaterials (Basel). 2023 Jul 19;13(14):2102. doi: 10.3390/nano13142102.

Abstract

We study the effect of a local potential shift induced by a side electrode on the edge modes at the boundary between gapped and ungapped bilayer graphene. A potential shift close to the gapped-ungapped boundary causes the emergence of unprotected edge modes, propagating in both directions along the boundary. These counterpropagating edge modes allow edge backscattering, as opposed to the case of valley-momentum-locked edge modes. We then calculate the conductance of a bilayer graphene wire in presence of finger-gate electrodes, finding strong asymmetries with energy inversion and deviations from conductance quantization that can be understood with the gate-induced unprotected edge modes.

Keywords: bilayer graphene; edge modes; electric transport.