Controlling the layer localization of gapless states in bilayer graphene with a gate voltage

Abstract

Experiments in gated bilayer graphene with stacking domain walls present topological gapless states protected by no-valley mixing. Here we research these states under gate voltages using atomistic models, which allow us to elucidate their origin. We find that the gate potential controls the layer localization of the two states, which switches non-trivially between layers depending on the applied gate voltage magnitude. We also show how these bilayer gapless states arise from bands of single-layer graphene by analyzing the formation of carbon bonds between layers. Based on this analysis we provide a model Hamiltonian with analytical solutions, which explains the layer localization as a function of the ratio between the applied potential and interlayer hopping. Our results open a route for the manipulation of gapless states in electronic devices, analogous to the proposed writing and reading memories in topological insulators.

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• Layertronic control of topological states in multilayer metal-organic frameworks
• Quantum anomalous Hall effect in metal-bis(dithiolene), magnetic properties, doping and interfacing graphene
• Graphene quantum blisters: a tunable system to confine charge carriers
• Aharonov-Bohm interferences in polycrystalline graphene
• Topologically protected gap states and resonances in gated trilayer graphene
• Single layer graphene with electronic properties as gated bilayer
• Confined states in graphene quantum blisters
• Gapless states and current control in strongly distorted gated trilayer graphene