Reddy Aidan P, Paul Nisarga, Abouelkomsan Ahmed, Fu Liang
Massachusetts Institute of Technology, Department of Physics, Cambridge, Massachusetts 02139, USA.
University of California, Santa Barbara, Kavli Institute of Theoretical Physics, Santa Barbara, California 93106, USA.
Phys Rev Lett. 2024 Oct 18;133(16):166503. doi: 10.1103/PhysRevLett.133.166503.
Motivated by the recent discovery of fractional quantum anomalous Hall states in moiré systems, we consider the possibility of realizing non-Abelian phases in topological minibands. We study a family of moiré systems, skyrmion Chern band models, which can be realized in two-dimensional semiconductor-magnet heterostructures and also capture the essence of twisted transition metal dichalcogenide homobilayers. We show using many-body exact diagonalization that, in spite of strong Berry curvature variations in momentum space, the non-Abelian Moore-Read state can be realized at half filling of the second miniband. These results demonstrate the feasibility of non-Abelian fractionalization in moiré systems without Landau levels and shed light on the desirable conditions for their realization. In particular, we highlight the prospect of realizing the Moore-Read state in twisted semiconductor bilayers.
受近期在莫尔系统中发现分数量子反常霍尔态的启发，我们考虑在拓扑微带中实现非阿贝尔相的可能性。我们研究了一类莫尔系统，即斯格明子陈数带模型，它可以在二维半导体 - 磁体异质结构中实现，并且也抓住了扭曲过渡金属二硫属化物同质双层的本质。我们使用多体精确对角化表明：尽管在动量空间中贝里曲率变化强烈，但在第二个微带的半填充时仍可实现非阿贝尔摩尔 - 里德态。这些结果证明了在没有朗道能级的莫尔系统中实现非阿贝尔分数化的可行性，并阐明了实现它们的理想条件。特别是，我们强调了在扭曲半导体双层中实现摩尔 - 里德态的前景。
