Tunable high-Chern-number Chern insulators in rhombohedral tetralayer graphene/hBN moir\'e superlattices
Chuanqi Zheng, Chushan Li, Ke Huang, Chenyu Zhang, Kenji Watanabe, Takashi Taniguchi, Hao Yang, Dandan Guan, Liang Liu, Shiyong Wang, Yaoyi Li, Hao Zheng, Canhua Liu, Jinfeng Jia, Xueyang Song, Zhiwen Shi, Guorui Chen, Xiao Li, Tingxin Li, and Xiaoxue Liu

TL;DR
This study reveals highly tunable high-Chern-number Chern insulators in rhombohedral tetralayer graphene/hBN moiré superlattices, demonstrating their dependence on moiré wavelength, electric, and magnetic fields.
Contribution
It reports the experimental discovery of multiple high-Chern-number Chern insulators with tunable properties in RTG/hBN moiré superlattices, including new symmetry-broken states.
Findings
Observation of C = -4 Chern insulator at v = -1
Discovery of symmetry-broken states with C = +3, ±2, ±1 at fractional fillings
High tunability of topological states via moiré wavelength, electric, and magnetic fields
Abstract
Moir\'e superlattices based on rhombohedral multilayer graphene have emerged as a highly tunable platform for engineering correlated topological phases. Here, we systematically investigate the transport properties of the hole-doped side in rhombohedral tetralayer graphene/ hexagonal boron nitride (hBN) moir\'e superlattices across a range of twist angles and alignment orientations. Notably, we observed multiple high-Chern-number Chern insulators, including the previously reported integer Chern insulator with Chern number C = -4 at moir\'e filling factor v = -1 and newly discovered symmetry-broken Chern insulating states with C = +3, 2, 1 at fractional moir\'e fillings of v = -2.5 or -2.6. These Chern insulating states emerge in both hBN alignment, but exhibit a sensitive moir\'e wavelength dependence. Our findings demonstrate the exceptional tunability of these…
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