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The standard theoretical framework for fractional quantum anomalous Hall effect (FQAH) assumes an isolated flat Chern band in the single particle level. In this paper we challenges this paradigm for the FQAH recently observed in the…

强关联电子 · 物理学 2024-08-12 Boran Zhou , Hui Yang , Ya-Hui Zhang

The quantum anomalous Hall (QAH) effect, first proposed in the Haldane model, is a paradigmatic example of the application of band topology in condensed matter physics. The recent experimental discoveries of high Chern number QAH effect in…

介观与纳米尺度物理 · 物理学 2025-03-12 Zhaochen Liu , Jing Wang

The two-dimensional quantum anomalous Hall (QAH) effect is direct evidence of non-trivial Berry curvature topology in condensed matter physics. Searching for QAH in 2D materials, particularly with simplified fabrication methods, poses a…

介观与纳米尺度物理 · 物理学 2024-04-22 Yueh-Ting Yao , Suyang Xu , Tay-Rong Chang

The quantum anomalous Hall (QAH) effect is sometimes observed in twisted bilayer graphene (tBG) when it is nearly aligned with an encapsulating hexagonal boron nitride (hBN) layer. We propose that the appearance or absence of the QAH effect…

介观与纳米尺度物理 · 物理学 2021-02-17 Jingtian Shi , Jihang Zhu , A. H. MacDonald

The quantum anomalous Hall effect (QAHE) is a robust topological phenomenon featuring quantized Hall resistance at zero magnetic field. We report the QAHE in a rhombohedral pentalayer graphene/monolayer WS2 heterostructure. Distinct from…

介观与纳米尺度物理 · 物理学 2024-05-14 Tonghang Han , Zhengguang Lu , Yuxuan Yao , Jixiang Yang , Junseok Seo , Chiho Yoon , Kenji Watanabe , Takashi Taniguchi , Liang Fu , Fan Zhang , Long Ju

We investigate the fractional quantum anomalous Hall (FQAH) effect in rhombohedral multilayer graphene (RnG) in the presence of a strong applied displacement field. We first introduce the interacting model of RnG, which includes the…

强关联电子 · 物理学 2025-02-17 Ke Huang , Sankar Das Sarma , Xiao Li

Electrons in topological flat bands can form novel topological states driven by the correlation effects. The penta-layer rhombohedral graphene/hBN moire superlattice has been shown to host fractional quantum anomalous Hall effect (FQAHE) at…

介观与纳米尺度物理 · 物理学 2024-08-20 Zhengguang Lu , Tonghang Han , Yuxuan Yao , Jixiang Yang , Junseok Seo , Lihan Shi , Shenyong Ye , Kenji Watanabe , Takashi Taniguchi , Long Ju

Remarkable recent experiments on the moir\'e structure formed by pentalayer rhombohedral graphene aligned with a hexagonal Boron-Nitride substrate report the discovery of a zero field fractional quantum hall effect. These "(Fractional)…

强关联电子 · 物理学 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

Recent experiments on rhombohedral pentalayer graphene flakes with a substrate induced moir\'e potential have identified both Chern insulators and fractional Quantum Hall states in the absence of an applied magnetic field. Surprisingly,…

We present a microscopic theory to give a physical picture of the formation of quantum anomalous Hall (QAH) effect in graphene due to a joint effect of Rashba spin-orbit coupling $\lambda_R$ and exchange field $M$. Based on a continuum…

材料科学 · 物理学 2012-03-29 Zhenhua Qiao , Hua Jiang , Xiao Li , Yugui Yao , Qian Niu

Quantum anomalous Hall (QAH) effect is a quantum Hall effect that occurs without the need of external magnetic field. A system composed of multiple parallel QAH layers is an effective high Chern number QAH insulator and the key to the…

The fractional quantum anomalous Hall effect (FQAHE) is a fascinating emergent quantum state characterized by fractionally charged excitations in the absence of magnetic field,which could arise from the intricate interplay between electron…

The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal resistance, is the characteristic experimental fingerprint of Chern insulators - topologically non-trivial states of two-dimensional matter with broken…

介观与纳米尺度物理 · 物理学 2023-02-07 Cui-Zu Chang , Chao-Xing Liu , Allan H. MacDonald

The recent experimental observation of quantum anomalous Hall (QAH) effects in the rhombohedrally stacked pentalayer graphene has motivated theoretical discussions on the possibility of quantum anomalous Hall crystal (QAHC), a topological…

强关联电子 · 物理学 2025-06-10 Boran Zhou , Ya-Hui Zhang

Recent experiments showing an integer quantum anomalous Hall effect in pentalayer rhombohedral graphene have been interpreted in terms of a valley-polarized interaction-induced Chern band. The resulting many-body state can be viewed as an…

强关联电子 · 物理学 2024-12-10 Zhihuan Dong , Adarsh S. Patri , T. Senthil

Electron correlation and topology are two central threads of modern condensed matter physics. Semiconductor moir\'e materials provide a highly tunable platform for studies of electron correlation. Correlation-driven phenomena, including the…

Moir\'e materials provide fertile ground for the correlated and topological quantum phenomena. Among them, the quantum anomalous Hall (QAH) effect, in which the Hall resistance is quantized even under zero magnetic field, is a direct…

The realization of fractional Chern insulators in moir\'e materials has sparked the search for further novel phases of matter in this platform. In particular, recent works have demonstrated the possibility of realizing quantum anomalous…

介观与纳米尺度物理 · 物理学 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

The quantum anomalous Hall (QAH) effect holds fundamental importance in topological physics and technological promise for electronics. It is generally believed that the QAH effect can only be realized in insulators. In this Letter, we…

介观与纳米尺度物理 · 物理学 2025-12-30 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

Based on first-principle calculations and $k\cdot p$ model analysis, we show that the quantum anomalous Hall (QAH) insulating phase can be realized in the functionalized hematite (or $\alpha$-Fe$_2$O$_3$) nanosheet and the obtained…

介观与纳米尺度物理 · 物理学 2017-11-15 Qi-Feng Liang , Jian Zhou , Rui Yu , Xi Wang , Hongming Weng
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