Transdimensional Chern insulators in rhombohedral multilayer graphene superlattices

@misc{li2026transdimensional,
  title = {{Transdimensional Chern insulators in rhombohedral multilayer graphene superlattices}},
  author = {Min Li and Xin Lu and Lei Wang and Jianpeng Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.21310},
  eprint = {2610.21310},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.21310},
}

TY  - UNPB
TI  - Transdimensional Chern insulators in rhombohedral multilayer graphene superlattices
AU  - Min Li
AU  - Xin Lu
AU  - Lei Wang
AU  - Jianpeng Liu
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.21310
UR  - https://arxiv.org/abs/2610.21310
AB  - Recent experiments on lightly electron-doped rhombohedral multilayer graphene (RMG) in the "transdimensional" regime revealed anomalous Hall hysteresis under both perpendicular and in-plane magnetic fields, pointing to the emergence of transdimensional orbital magnetism in an interaction-driven "Fermi-lune" metal. Here we demonstrate that, by coupling to the moiré potential, this transdimensional orbital ferromagnetic metal can evolve into quantized Chern insulator phases in twisted RMG/hBN moiré superlattices. Using unrestricted Hartree-Fock calculations, we find that interaction-driven reconstruction isolates a spin-valley-polarized |C| = 1 Chern band, leading to a "transdimensional Chern insulator" (TDCI) state exhibiting both in-plane and out-of-plane orbital magnetizations. A minimal two-band model is introduced to describe the unique properties of TDCI, which unveils the intimate connection between non-reciprocal velocity and in-plane orbital magnetization. We further analyze the collective excitations of TDCIs, and identify soft charge and spin modes that may lead to density wave instabilities in certain cases. An in-plane magnetic field can harden the soft density-wave mode and may drive a transition from density-wave state to TDCI. Finally, when the |C| = 1 band is fractionally filled, the many-body ground state may be a fractional Chern insulator with broken rotation and mirror symmetries.
ER  -