Correlation stabilized anomalous Hall crystal in bilayer graphene.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 41390832.
- Also identified by DOI 10.1038/s41467-025-66179-9 and PMC identifier 12722701.
- Licence recorded as CC BY-NC-ND.
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Abstract
At low carrier densities, interacting electrons can form a Wigner crystal. Rhombohedral multilayer graphene hosts high-order Dirac fermions with nontrivial Berry phases. Using a beyond-mean-field theoretical framework, here we study the ground states of slightly charge-doped rhombohedral multilayer graphene under vertical displacement field. We find a Fermi liquid to trivial Wigner crystal transition at critical densities of ~1-2 × 10<sup>11</sup> cm<sup>-2</sup>, which generally increase with displacement field and layer number. Notably, an anomalous Hall crystal with spontaneous quantized anomalous Hall conductivity emerges at lower densities ~2 × 10<sup>10</sup> cm<sup>-2</sup> and for dielectric constants ϵ<sub>r</sub>⪅5. This topological anomalous Hall crystal is stabilized over the trivial Wigner crystal due to lower correlation energy gained from dynamical charge fluctuations. Our work identifies slightly carrier-doped bilayer graphene as a promising candidate for realizing the anomalous Hall crystal. Moreover, our method can be readily applied to other interacting 2D systems including moiré superlattices.