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Electronic properties of twisted bilayer graphene in high-energy $k \cdot p$ -Hamiltonian approximation

H. V. Grushevskaya

Faculty of Physics, Belarusian State University, 4 Nezalezhnasti Avenue, 220030 Minsk, Belarus

E-mail Address: [email protected]

Corresponding author.

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G. G. Krylov

Faculty of Physics, Belarusian State University, 4 Nezalezhnasti Avenue, 220030 Minsk, Belarus

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H.-Y. Choi

Department of Physics, Sungkyunkwan University, Suwon 16419, Korea

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, and

S. P. Kruchinin

Bogolyubov Institute for Theoretical Physics, 14-b Metrologichna street, 03143 Kyiv, Ukraine

E-mail Address: [email protected]

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https://doi.org/10.1142/S0217984920400552Cited by:2 (Source: Crossref)

This article is part of the issue:

SPECIAL ISSUE: Electron Correlation in Superconductors and Nanostructures
Guest Editors: Sergei Kruchinin and Janez Bonča

Abstract

A model of twisted bilayer graphene has been offered on the base of developed quasi-relativistic approach with high energy $k \cdot p$ -Hamiltonian. Monolayer-graphene twist is accounted as a perturbation of monolayer-graphene Hamiltonian in such a way that at a given point of the Brillouin zone there exists an external non-Abelian gauge field of another monolayer. Majorana-like resonances have been revealed in the band structure of model at a magic rotation angle $𝜃_{M} = 1.0 5^{\circ}$ . The simulations have also shown that a superlattice energy gap existing at a rotation angle $1.0 8^{\circ}$ vanishes at a rotation angle $1 . 0^{\circ}$ .

Keywords:

PACS: 73.22.Pr, 68.65.Pq, 72.80.Vp

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