Unveiling the Electronic Origin of Anomalous Contact Conductance in Twisted Bilayer Graphene

Fuente: arXiv
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Main Authors: Vidarte, Kevin J. U., Lewenkopf, Caio, de Lima, F. Crasto, Miwa, R. Hiroki, Riffo, Felipe Pérez, Morell, Eric Suárez
Format: Preprint
Published: 2025
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author Vidarte, Kevin J. U.
Lewenkopf, Caio
de Lima, F. Crasto
Miwa, R. Hiroki
Riffo, Felipe Pérez
Morell, Eric Suárez
author_facet Vidarte, Kevin J. U.
Lewenkopf, Caio
de Lima, F. Crasto
Miwa, R. Hiroki
Riffo, Felipe Pérez
Morell, Eric Suárez
contents This study theoretically investigates the contact conductance in twisted bilayer graphene (TBG), providing a theoretical explanation for recent experimental observations from scanning tunneling microscopy (STM) and conductive atomic force microscopy (c-AFM). These experiments revealed a surprising non-monotonic current pattern as a function of the TBG rotation angle $θ$, with a peak at $θ\approx 5^\circ$, a finding that markedly departs from the well-known magic angle TBG behavior. To elucidate this phenomenon, we develop a comprehensive theoretical and computational framework. Our calculations, performed on both relaxed and rigid TBG structures, simulate contact conductance by analyzing the local density of states across a range of biases and rotational angles. Contrary to the current interpretation, our results demonstrate that the maximum conductance at $θ\approx 5^{\rm o}$ is not caused by structural relaxation or AA stacking zone changes. Instead, we attribute this peak to the evolution of the electronic band structure, specifically the shifting of van Hove singularities (vHs) to the Fermi level as the twist angle decreases. We further show that the precise location of this conductance maximum is dependent on the applied bias voltage. This interplay between twist angle, bias, and vHs energy provides a robust explanation for the experimental findings.
format Preprint
id arxiv_https___arxiv_org_abs_2506_21721
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unveiling the Electronic Origin of Anomalous Contact Conductance in Twisted Bilayer Graphene
Vidarte, Kevin J. U.
Lewenkopf, Caio
de Lima, F. Crasto
Miwa, R. Hiroki
Riffo, Felipe Pérez
Morell, Eric Suárez
Mesoscale and Nanoscale Physics
Materials Science
This study theoretically investigates the contact conductance in twisted bilayer graphene (TBG), providing a theoretical explanation for recent experimental observations from scanning tunneling microscopy (STM) and conductive atomic force microscopy (c-AFM). These experiments revealed a surprising non-monotonic current pattern as a function of the TBG rotation angle $θ$, with a peak at $θ\approx 5^\circ$, a finding that markedly departs from the well-known magic angle TBG behavior. To elucidate this phenomenon, we develop a comprehensive theoretical and computational framework. Our calculations, performed on both relaxed and rigid TBG structures, simulate contact conductance by analyzing the local density of states across a range of biases and rotational angles. Contrary to the current interpretation, our results demonstrate that the maximum conductance at $θ\approx 5^{\rm o}$ is not caused by structural relaxation or AA stacking zone changes. Instead, we attribute this peak to the evolution of the electronic band structure, specifically the shifting of van Hove singularities (vHs) to the Fermi level as the twist angle decreases. We further show that the precise location of this conductance maximum is dependent on the applied bias voltage. This interplay between twist angle, bias, and vHs energy provides a robust explanation for the experimental findings.
title Unveiling the Electronic Origin of Anomalous Contact Conductance in Twisted Bilayer Graphene
topic Mesoscale and Nanoscale Physics
Materials Science
url https://arxiv.org/abs/2506.21721