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Electronic Reconstruction at the Quasicrystal-Moiré Crossover in Twisted Bilayer Graphene

Kuo-En Chang1,2,*, Aitor Garcia-Ruiz (艾飛宇)1,2,*, Ta-Lei Chou3,4, Yen-Ting Liu1, Sheng-Chin Ho1, Yu-Chiang Hsieh1,2, Ching-Hua Kao (高慶樺)2, Chiu-Hua Huang1, Ying-Mei Yang2 et al.

Kenji Watanabe5, Takashi Taniguchi6, Ming-Wen Chu3,4, Ming-Hao Liu (劉明豪)1,2,†, and Tse-Ming Chen1,2,‡

  • *These authors contributed equally to this work.
  • †Contact author: minghao.liu@phys.ncku.edu.tw
  • ‡Contact author: tmchen@phys.ncku.edu.tw
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Phys. Rev. Lett. 137, 076301 – Published 11 August, 2026

DOI: https://doi.org/10.1103/jmsx-2g8l

Abstract

Large twist angles in twisted bilayer graphene are widely expected to be electronically trivial, with negligible interlayer coupling and no electronic reconstruction, in contrast to the rich moiré-driven band reconstruction and correlated physics that emerge at small twist angles. Here, we show that this paradigm breaks down near a twist angle of 29°, where the system crosses over between quasicrystalline and commensurate order. Atomic-resolution transmission electron microscopy directly reveals the coexistence of near-dodecagonal quasicrystalline symmetry and emerging moiré periodicity, indicating an intermediate, nonperiodic structural regime. Magnetotransport measurements uncover strong interlayer hybridization mediated by Umklapp scattering, manifested by magneto-intersubband oscillations and a highly unconventional Landau-level spectrum. Remarkably, the Landau-level degeneracy evolves from 4- to 12-fold with increasing temperature, a behavior incompatible with two decoupled graphene monolayers. These findings establish large-angle twisted bilayer graphene as a platform where quasiperiodic symmetry fundamentally reshapes low-energy electronic states beyond the conventional moiré framework.

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Phys. Rev. Lett. 137, 076301– Published 11 August, 2026
  • Received 5 May 2026
  • Accepted 13 July 2026
Article part of CHORUS
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