Year: 2025
Type: article
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 .
Source: Physical Review Research
DOI: 10.1103/xzfz-d19q
Authors: Han-Lin Liu, J. Wang
Institution: Southeast University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Award: G4267984460
OpenAlex ID: W4413629782