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Quantized Landau-level crossing checkerboard in large-angle twisted graphene

2024/12/04 by Baojuan Dong, Kai Zhao, Dong, Baojuan +15
Materials Science · Engineering · Computer Science · #Graphene research and applications #Graphene and Nanomaterials Applications #Interconnection Networks and Systems

paper · pdf · doi:10.48550/arxiv.2412.03004

Abstract

When charge transport occurs under conditions like topological protection or ballistic motion, the conductance of low-dimensional systems often exhibits quantized values in units of e2/h, where e and h are the elementary charge and Planck's constant. Such quantization has been pivotal in quantum metrology and computing. Here, we demonstrate a novel quantized quantity: the ratio of the displacement field to the magnetic field, D/B, in large-twist-angle bilayer graphene. In the high magnetic field limit, Landau level crossings between the top and bottom layers manifest equal-sized checkerboard patterns throughout the D/B-ν space. It stems from a peculiar electric-field-driven interlayer charge transfer at one elementary charge per flux quantum, leading to quantized intervals of critical displacement fields, (i.e., δD = \frace2πlB2, where lB is the magnetic length). Our findings suggest that interlayer charge transfer in the quantum Hall regime can yield intriguing physical phenomena, which has been overlooked in the past.

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