We calculate the perpendicular electrical conductivity in twisted three-dimensional graphite (rotationally stacked graphite pieces) by using the effective continuum model and the recursive Green's function method. In the low twist angle regime (θ≲2∘), the conductivity shows a nonmonotonic dependence with a peak and dip structure as a function of the twist angle. By analyzing the momentum-resolved conductance and the local density of states, this behavior is attributed to the Fano resonance between continuum states of bulk graphite and interface-localized states, which is a remnant of the flat band in the magic-angle twisted bilayer graphene. We also apply the formulation to the high-angle regime near the commensurate angle θ≈21.8∘, and reproduce the conductance peak observed in the experiment.
@article{arxiv.2308.03993,
title = {Perpendicular electronic transport and moir\'{e}-induced resonance in twisted interfaces of three-dimensional graphite},
author = {Tenta Tani and Takuto Kawakami and Mikito Koshino},
journal= {arXiv preprint arXiv:2308.03993},
year = {2023}
}