Quantum transport simulations for graphene in three dimensions

Ming-Hao Liu^1*

¹Department of Physics, National Cheng Kung University, Tainan, Taiwan

* Presenter:Ming-Hao Liu, email:minghao.liu@phys.ncku.edu.tw

Graphene, a single atomic layer of carbon atoms arranged in a honeycomb lattice, is the very first two-dimensional material experimentally discovered in 2004. Whereas quantum transport simulations for graphene have achieved remarkable agreement with experiments [1], most studies have treated graphene as strictly two-dimensional. Motivated by recent advances--including folded graphene [2], twisted bilayers [3], and junctions exhibiting out-of-plane strain [4]--this talk presents our recent progress in simulating transport in three-dimensional graphene. Specific examples include snake states in folded graphene, the graphene nanoslide [4,5], and bilayer graphene with arbitrary twist angles.

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[1] Chakraborti H. et al. Electron wave and quantum optics in graphene. J. Phys.: Condens. Matter 36, 393001 (2024)
[2] Schmidt, H., Rode, J., Smirnov, D. et al. Superlattice structures in twisted bilayers of folded graphene. Nat Commun 5, 5742 (2014)
[3] Andrei, E.Y., MacDonald, A.H. Graphene bilayers with a twist. Nat. Mater. 19, 1265–1275 (2020)
[4] Zhang, X., Ren, W., Bell, E. et al. Gate-tunable Veselago interference in a bipolar graphene microcavity. Nat Commun 13, 6711 (2022)
[5] Mrenca-Kolasinska A. et al. Pseudomagnetotransport in Strained Graphene. arXiv:2505.21056

Keywords: quantum transport, folded graphene, twisted bilayer graphene, strained graphene