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  • Open Access

Integer quantum Hall effect in bilayer Dice lattices

Han-Lin Liu* and J. Wang†

  • *Contact author: hanlinl@seu.edu.cn
  • †Contact author: jwang@seu.edu.cn
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Phys. Rev. Research 7, 033195 – Published 26 August, 2025

DOI: https://doi.org/10.1103/xzfz-d19q

Abstract

We investigate the quantum Hall effect in bilayer dice lattices with AA-BB-CC and AB-BC-CA stacking configurations, focusing on the interplay between flat band stability and band topology. For the aligned AA-BB-CC stacking, the system exhibits a narrow zero Hall conductivity plateau at the Dirac point and hybrid integer quantum Hall states (n=±2,±4) in some energy regions, originating from the coexistence of spin, valley, and layer degeneracies. Additionally, the flat band generated by AA-BB-CC stacking is more easily destroyed. In contrast, the cyclic AB-BC-CA stacking displays irregular Hall conductivity due to complex band structures lacking complete flat bands. By tuning interlayer coupling strength t⊥ and hopping parameter α, the corresponding results show that the position of the Dirac point relative to the high-symmetry point in the Brillouin zone determines the appearance of the conductivity transitions. A mixed integer quantum Hall effect with n = 2 and  = 4 appears for specific values of α.

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Phys. Rev. Research 7, 033195– Published 26 August, 2025
  • Received 9 April 2025
  • Accepted 8 August 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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