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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…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Raul Perea-Causin , Hui Liu , Emil J. Bergholtz

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…

Materials Science · Physics 2015-03-13 Jun Hu , Zhenyue Zhu , Ruqian Wu

The quantum anomalous Hall (QAH) effect is a topologically nontrivial phase, characterized by a non-zero Chern number defined in the bulk and chiral edge states in the boundary. Using first-principles calculations, we demonstrate the…

Materials Science · Physics 2018-06-26 Xiangru Kong , Linyang Li , Ortwin Leenaerts , Weiyang Wang , Xiong-Jun Liu , François M. Peeters

We present a paradoxical finding that, in the vicinity of a topological phase transition in a quantum anomalous Hall system (Chern insulator), topology nearly always (except when the system obeys charge-conjugation symmetry) results in a…

Mesoscale and Nanoscale Physics · Physics 2018-11-07 Denis R. Candido , Maxim Kharitonov , J. Carlos Egues , Ewelina M. Hankiewicz

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…

Strongly Correlated Electrons · Physics 2016-06-28 Jian Zhou , Qi-Feng Liang , Hongming Weng , Y. B. Chen , Shu-Hua Yao , Yan-Feng Chen , Jinming Dong , Guang-Yu Guo

We investigate an effective model of proximity modified graphene (or symmetrylike materials) with broken time-reversal symmetry. We predict the appearance of quantum anomalous Hall phases by computing bulk band gap and Chern numbers for…

Mesoscale and Nanoscale Physics · Physics 2020-04-07 Petra Högl , Tobias Frank , Klaus Zollner , Denis Kochan , Martin Gmitra , Jaroslav Fabian

We use a lowest Landau level model to study the recent observation of an anomalous Hall effect in twisted bilayer graphene. This effective model is rooted in the occurrence of Chern bands which arise due to the coupling between the graphene…

Strongly Correlated Electrons · Physics 2020-04-28 Nick Bultinck , Shubhayu Chatterjee , Michael P. Zaletel

Quantum information can be coded by the topologically protected edges of fractional quantum Hall (FQH) states. Investigation on FQH edges in the hope of searching and utilizing non-Abelian statistics has been a focused challenge for years.…

Mesoscale and Nanoscale Physics · Physics 2023-04-04 Jiaojie Yan , Yijia Wu , Shuai Yuan , Xiao Liu , L. N. Pfeiffer , K. W. West , Yang Liu , Hailong Fu , X. C. Xie , Xi Lin

The discovery of the fractional quantum Hall effect in GaAs-based semiconductor devices has lead to new advances in condensed matter physics, in particular the possibility for exotic, topological phases of matter that possess fractional,…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Z. Papic , D. A. Abanin , Y. Barlas , R. N. Bhatt

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,…

Strongly Correlated Electrons · Physics 2024-11-15 Junkai Dong , Taige Wang , Tianle Wang , Tomohiro Soejima , Michael P. Zaletel , Ashvin Vishwanath , Daniel E. Parker

We investigate the emergence of both quantum anomalous Hall and disorder-induced Anderson Chern insulating phases in two dimensional hexagonal lattices, with antiferromagnetically ordered 3Q state and in the absence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Papa Bireme Ndiaye , Adel Abbout , Aurelien Manchon

When electrons are confined in two dimensions and subjected to strong magnetic fields, the Coulomb interactions between them become dominant and can lead to novel states of matter such as fractional quantum Hall liquids. In these liquids…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Kirill I. Bolotin , Fereshte Ghahari , Michael D. Shulman , Horst L. Stormer , Philip Kim

The discovery of fractional charge excitations in new platforms offers crucial insights into strongly correlated quantum phases. While a range of fractional quantum anomalous Hall (FQAH) states have recently been observed in two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2026-02-05 Haiyang Pan , Shunshun Yang , Yuzhu Wang , Xiangbin Cai , Wei Wang , Yan Zhao , Kenji Watanabe , Takashi Taniguchi , Linlong Zhang , Youwen Liu , Bo Yang , Weibo Gao

We investigate the interaction between quantum anomalous Hall (QAH) phases hosted by two atomically thin hexagonal lattices and demonstrate the emergence of topological phases with large Chern numbers. Interlayer coupling between two…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 H. Minh Lam , V. Nam Do

Graphene and its multilayers have attracted considerable interest owing to the fourfold spin and valley degeneracy of their charge carriers, which enables the formation of a rich variety of broken-symmetry states and raises the prospect of…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 Benjamin E. Feldman , Andrei J. Levin , Benjamin Krauss , Dmitry Abanin , Bertrand. I. Halperin , Jurgen H. Smet , Amir Yacoby

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

We propose an experimental scheme to realize and detect the quantum anomalous Hall effect in an anisotropic square optical lattice which can be generated from available experimental set-ups of double-well lattices with minor modifications.…

Strongly Correlated Electrons · Physics 2015-03-13 Xiong-Jun Liu , Xin Liu , Congjun Wu , Jairo Sinova

We report observation of the fractional quantum Hall effect (FQHE) in high mobility multi-terminal graphene devices, fabricated on a single crystal boron nitride substrate. We observe an unexpected hierarchy in the emergent FQHE states that…

Mesoscale and Nanoscale Physics · Physics 2011-06-17 C. R. Dean , A. F. Young , P. Cadden-Zimansky , L. Wang , H. Ren , K. Watanabe , T. Taniguchi , P. Kim , J. Hone , K. L. Shepard

A quantum phase transition arises from competition between different ground states and is typically accessed by varying a single physical parameter near absolute zero temperature. The quantum anomalous Hall (QAH) effect with high Chern…

Mesoscale and Nanoscale Physics · Physics 2025-08-27 Ling-Jie Zhou , Deyi Zhuo , Ruobing Mei , Yi-Fan Zhao , Kaijie Yang , Ruoxi Zhang , Zijie Yan , Han Tay , Moses H. W. Chan , Chao-Xing Liu , Cui-Zu Chang

In non-interacting systems, bands from non-trivial topology emerge strictly at half-filling and exhibit either the quantum anomalous Hall or spin Hall effects. Here we show using determinantal quantum Monte Carlo and an exactly solvable…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Peizhi Mai , Jinchao Zhao , Benjamin E. Feldman , Philip W. Phillips