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We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

The combination of the unique properties of graphene with spin polarization and magnetism for the design of new spintronic concepts and devices has been hampered by the small Coulomb interaction and the tiny spin-orbit coupling of carbon in…

Materials Science · Physics 2012-02-03 Hongbin Zhang , Cesar Lazo , Stefan Blügel , Stefan Heinze , Yuriy Mokrousov

To explore new materials for the realization of the quantum anomalous Hall effect (QAHE), we studied electronic, magnetic and topological properties of transition-metal phthalocyanine (TMPc) monolayers in a square lattice. Many of them have…

Materials Science · Physics 2020-11-17 Jie Li , Lei Gu , Ruqian Wu

A general mechanism is presented by which topological physics arises in strongly correlated systems without flat bands. Starting from a charge transfer insulator, topology emerges when the charge transfer energy between the cation and anion…

Strongly Correlated Electrons · Physics 2022-09-08 Trithep Devakul , Liang Fu

We show that the quantum anomalous Hall effect almost always occurs in magnetic topological insulator thin films whenever the top and bottom surface layer magnetizations are parallel, independent of the interior layer magnetization…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Chao Lei , Olle Heinonen , R. J. McQueeney , A. H. MacDonald

The quantum anomalous Hall effect can occur in single and few layer graphene systems that have both exchange fields and spin-orbit coupling. In this paper, we present a study of the quantum anomalous Hall effect in single-layer and gated…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Wang-Kong Tse , Zhenhua Qiao , Yugui Yao , A. H. MacDonald , Qian Niu

Recent experiments on multilayer rhombohedral graphene have unearthed a number of interesting phenomena in the regime where Integer and Fractional Quantum Anomalous Hall phenomena were previously reported. Specifically at low temperature…

Strongly Correlated Electrons · Physics 2024-12-10 Adarsh S. Patri , Zhihuan Dong , T. Senthil

Topological and valleytronic materials are promising for spintronic and quantum applications due to their unique properties. Using first principles calculations, we demonstrate that germanene (Ge)-based ferromagnetic heterostructures can…

Computational Physics · Physics 2024-02-09 Feng Xue , Jiaheng Li , Yizhou Liu , Ruqian Wu , Yong Xu , Wenhui Duan

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…

Strongly Correlated Electrons · Physics 2024-12-30 Koji Kudo , Ryota Nakai , Kentaro Nomura

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…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Qi-Feng Liang , Jian Zhou , Rui Yu , Xi Wang , Hongming Weng

The discovery of an anomalous Hall effect (AHE) sensitive to the magnetic state of antiferromagnets can trigger a new era of spintronics, if materials that host a tunable and strong AHE are identified. Altermagnets are a new class of…

The long-awaited fractional quantum anomalous Hall (FQAH) effect recently has been observed in the twisted $\mathrm{MoTe_2}$ homobilayers, causing a great sensation. Here, we theoretically investigate the moir\'e band structures of a…

Mesoscale and Nanoscale Physics · Physics 2024-05-28 Miao Liang , Shi-Ping Ding , Ming Wu , Chen Zhao , Jin-Hua Gao

The interactions between conduction electrons and magnetism can significantly enhance the Hall signal, a phenomenon known as the anomalous Hall effect (AHE). While the AHE is generally not expected in antiferromagnets, a large AHE is…

Moir\'e flatbands with high Chern numbers (C>1) offer opportunities to study the fractional quantum anomalous Hall effects that go beyond the Landau level paradigm with C=1, which remain unexplored yet. Here, we target the novel topological…

In magnetic topological insulators, a phase transition between a quantum anomalous Hall (QAH) and an Anderson localization phase can be triggered by the rotation of an applied magnetic field. Without the scattering paths along magnetic…

Mesoscale and Nanoscale Physics · Physics 2026-01-05 Kristof Moors , Gen Yin

Quantum anomalous Hall insulator/superconductor heterostructures emerged as a competitive platform to realize topological superconductors with chiral Majorana edge states as shown in recent experiments [He et al. Science {\bf 357}, 294…

Superconductivity · Physics 2018-03-21 Chui-zhen Chen , Ying-ming Xie , Jie Liu , Patrick A Lee , K. T. Law

We propose a scheme to realize time-reversal symmetry-broken quantum spin Hall insulators using bilayer honeycomb lattices, combining intrinsic spin-orbit coupling, C-type antiferromagnetic ordering, and staggered potentials. The C-type…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Lizhou Liu , Cheng-Ming Miao , Qing-Feng Sun , Ying-Tao Zhang

The quantum geometry has significant consequences in determining transport and optical properties in quantum materials. Here, we use a semiclassical formalism coupled with perturbative corrections unifying the nonlinear anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-01-11 Daniel Kaplan , Tobias Holder , Binghai Yan

The quantum anomalous Hall effect (QAHE) realizes dissipationless longitudinal resistivity and quantized Hall resistance without the need of an external magnetic field. However, when reducing the device dimensions or increasing the current…

Mesoscale and Nanoscale Physics · Physics 2024-12-30 Gertjan Lippertz , Andrea Bliesener , Anjana Uday , Lino M. C. Pereira , A. A. Taskin , Yoichi Ando

The exsitance of three-dimensional Hall effect (3DQHE) due to spontaneous Fermi surface instabilities in strong magnetic field was proposed decades ago, and has stimulated recent progress in experiments. The reports in recent experiments…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 H. Geng , G. Y. Qi , L. Sheng , W. Chen , D. Y. Xing
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