Moir{é} pattern assisted geometric resonant tunneling in disordered twisted bilayer graphene

Abstract

We investigate the mesoscopic transport through a twisted bilayer graphene (TBG) consisting of a clean graphene nanoribbon on the bottom and a disordered graphene disc on the top. We show that, with strong top-layer disorder the transmission through such a device shows a sequence of resonant peaks with respect to the rotation angle $\theta$, where at the resonance angles ${\theta }_c$ the disc region contains one giant hexagonal moir{é} supercell. A further investigation shows that the value of ${\theta }_c$ shows negligible dependence on the disorder strength, the Fermi energy, and the shape distortion, indicating the resonance is a robust geometric feature of the moir{é} supercell. We explain this geometric resonance based on the bound states formed inside the moir{é} supercell, with their averaged local density of states dominating at the AA stacking region while minimizing at the AB stacking region. By increasing the interlayer distance, the peak becomes less pronounced which further confirms the role of interlayer coupling. The results presented here suggest a new mechanism to tune the quantum transport signal through the twist angle in disordered moir{é} systems.

References in corpus (18)

• Flat Bands in Slightly Twisted Bilayer Graphene
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
• Moiré heterostructures as a condensed matter quantum simulator
• Configure polaritons in twisted $\alpha$-MoO3
• Numerical studies of confined states in rotated bilayers of graphene
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Localization and Kosterlitz-Thouless Transition in Disordered Graphene
• Conductivity and Fano factor in disordered graphene
• Spatial distribution of local currents of massless Dirac fermions in quantum transport through graphene nanoribbons
• Interlayer Decoupling in 30° Twisted Bilayer Graphene Quasicrystal
• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
• Electronic conductance of twisted bilayer nanoribbon flakes
• Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals
• Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
• Time-evolution patterns of electrons in twisted bilayer graphene
• Transport signatures of Van Hove singularities in mesoscopic twisted bilayer graphene

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• Layer-Resolved Quantum Transport in Twisted Bilayer Graphene: Counterflow and Machine Learning Predictions
• The fate of disorder in twisted bilayer graphene near the magic angle
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials