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We theoretically study the correlated insulator states, quantum anomalous Hall (QAH) states, and field-induced topological transitions between different correlated states in twisted multilayer graphene systems. Taking twisted…

介观与纳米尺度物理 · 物理学 2022-06-02 Shihao Zhang , Xi Dai , Jianpeng Liu

The recent observation of the fractional quantum anomalous Hall effect in moir\'e fractional Chern insulators provides an opportunity to investigate zero magnetic field anyons. To potentially realize non-Abelian anyons, one approach is to…

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

Quantum anomalous Hall (QAH) insulators are two-dimensional (2D) insulating states exhibiting properties similar to those of quantum Hall states but without external magnetic field. They have quantized Hall conductance $\sigma^H=Ce^2/h$,…

介观与纳米尺度物理 · 物理学 2014-01-29 Chen Fang , Matthew J. Gilbert , B. Andrei Bernevig

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 study the electronic structures and topological properties of $(M+N)$-layer twisted graphene systems. We consider the generic situation that $N$-layer graphene is placed on top of the other $M$-layer graphene, and is twisted with respect…

介观与纳米尺度物理 · 物理学 2019-08-14 Jianpeng Liu , Zhen Ma , Jinhua Gao , Xi Dai

Studies on two-dimensional electron systems in a strong magnetic field first revealed the quantum Hall (QH) effect, a topological state of matter featuring a finite Chern number (C) and chiral edge states. Haldane later theorized that Chern…

Two-dimensional Chern insulators have emerged as crucial platforms for the realization of the quantum anomalous Hall effect, and as such have attracted significant interest in spintronics and topological quantum physics due to their unique…

介观与纳米尺度物理 · 物理学 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

Quantum anomalous Hall (QAH) phase is a two-dimensional bulk ferromagnetic insulator with a nonzero Chern number in presence of spin-orbit coupling (SOC) but absence of applied magnetic fields. Associated metallic chiral edge states host…

强关联电子 · 物理学 2016-06-28 Jian Zhou , Qi-Feng Liang , Hongming Weng , Y. B. Chen , Shu-Hua Yao , Yan-Feng Chen , Jinming Dong , Guang-Yu Guo

By allowing the spin degrees of freedom, we present a generalized spin allowed $U(1)\times U(1)$ Chern-Simons theory of fractional quantum Hall effects for odd and even denominator filling factors in single layers. This theory is shown to…

介观与纳米尺度物理 · 物理学 2008-02-03 Tae-Hyoung Gimm , Seung-Pyo Hong , Sung-Ho Suck Salk

Chern insulator ferromagnets are characterized by a quantized anomalous Hall effect, and have so far been identified experimentally in magnetically-doped topological insulator (MTI) thin films and in bilayer graphene moir{\'e}…

强关联电子 · 物理学 2020-12-11 Jihang Zhu , Jung-Jung Su , Allan H. MacDonald

Generally, stacking two monolayer type-I quantum spin Hall insulators gives rise to a trivial insulator. However, whether or not stacking two type-II quantum spin Hall insulators results in a trivial insulator has not yet been explored. In…

介观与纳米尺度物理 · 物理学 2025-08-08 Chao-Yang Tan , Panjun Feng , Ze-Feng Gao , Fengjie Ma , Peng-Jie Guo , Zhong-Yi Lu

Quantum anomalous Hall (QAH) effect provides dissipationless chiral channels for spin transport, expected as an outstanding candidate in future low-power quantum computation. The spin-splitting band structure is vital for obtaining QAH…

介观与纳米尺度物理 · 物理学 2024-10-23 Wenxuan Zhu , Hua Bai , Lei Han , Feng Pan , Cheng Song

Graphene-based moire superlattices exhibit novel quantum phenomena driven by pronounced interactions, leading to topological corrected states like orbital Chern insulators exhibiting quantum anomalous Hall effect (QAHE). Typically,…

介观与纳米尺度物理 · 物理学 2025-12-29 Zaizhe Zhang , Xi Chen , Kenji Watanabe , Takashi Taniguchi , Zhida Song , Xiaobo Lu

The quantum anomalous Hall effect is a intriguing quantum state which exhibits the chiral edge states in the absence of magnetic field. While the search for quantum anomalous Hall insulators is still active, the researchers mainly search…

介观与纳米尺度物理 · 物理学 2020-02-19 Ping Li , Tian-Yi Cai

In twisted MoTe$_{2}$, latest transport measurement has reported observation of quantum anomalous Hall effect at hole filling $\nu=-1$, which undergoes a topological phase transition to a trivial ferromagnet as layer hybridization gets…

强关联电子 · 物理学 2024-01-15 Feng-Ren Fan , Cong Xiao , Wang Yao

Helical trilayer graphene realizes a versatile moir\'e system for exploring correlated topological states emerging from high Chern bands. Motivated by recent experimental observations of anomalous Hall effects at fractional fillings of…

强关联电子 · 物理学 2025-10-02 Sen Niu , Jason Alicea , D. N. Sheng , Yang Peng

The search of new topological insulators that demonstrate the quantum anomalous Hall effect (QAHE) is a cutting-edge research topic in condensed matter physics and materials science. So far, the QAHE has been observed only in Cr-doped…

材料科学 · 物理学 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

Recent experiments on pentalayer rhombohedral graphene moir\'e superlattices have observed the quantum anomalous Hall effect at moir\'e filling factor of $\nu = 1$ and various fractional values. These phenomena are attributed to a flat…

强关联电子 · 物理学 2024-12-30 Koji Kudo , Ryota Nakai , Kentaro Nomura

The experimental discoveries of fractional quantum anomalous Hall effects under zero magnetic fields in both transition metal dichalcogenide and pentalayer graphene moir\'e superlattices have aroused significant research interest. In this…

强关联电子 · 物理学 2024-09-24 Zhongqing Guo , Xin Lu , Bo Xie , Jianpeng Liu