English

Tunable Fractional Chern Insulators in Rhombohedral Graphene Superlattices

Mesoscale and Nanoscale Physics 2025-02-03 v2 Strongly Correlated Electrons

Abstract

Fractional Chern insulators (FCIs) showing a transport effect with fractionally quantized Hall plateaus emerging under zero magnetic field, provide a radically new opportunity to engineer topological quantum electronics. By construction of topological flat band with moire engineering, intrinsic FCIs have been observed in twisted MoTe2 system and rhombohedral pentalayer graphene/hBN moire superlattices with anomalous Hall resistivity quantization number C <= 2/3 including the gapless composite Fermi-liquid state with C = 1/2. Here, we experimentally demonstrate a new system of rhombohedral hexalayer graphene (RHG)/hBN moire superlattices, which exhibit both integer and fractional quantum anomalous Hall effects with rich tunability including electric displacement field, perpendicular magnetic field and in-plane magnetic field. By tuning the electrical and magnetic fields at 0 < v < 1, we have observed a quantum phase transition showing a sign reversal of the Hall resistivity at finite magnetic fields. Surprisingly, the FCI state at v = 2/3 survives in the phase transitions, exhibiting a robust quantized Hall resistivity across both phases. Finally we have further demonstrated the indispensable role moire potential plays in the formation of the flat Chern band from a theoretical perspective. Our work has established RHG/hBN moire superlattices as a promising platform for exploring quasi-particles with fractional charge and non-Abelian anyons at zero magnetic field.

Keywords

Cite

@article{arxiv.2405.16944,
  title  = {Tunable Fractional Chern Insulators in Rhombohedral Graphene Superlattices},
  author = {Jian Xie and Zihao Huo and Xin Lu and Zuo Feng and Zaizhe Zhang and Wenxuan Wang and Qiu Yang and Kenji Watanabe and Takashi Taniguchi and Kaihui Liu and Zhida Song and X. C. Xie and Jianpeng Liu and Xiaobo Lu},
  journal= {arXiv preprint arXiv:2405.16944},
  year   = {2025}
}