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Related papers: Chern-insulator phase in antiferromagnets

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We introduce a second-quantized field theory for Chern insulators in which the Hamiltonian features a static vector potential that has the periodicity of the crystal's lattice and spontaneously breaks time-reversal symmetry in the system's…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Jason G. Kattan , J. E. Sipe

At a certain "magic" relative twist angle of two graphene sheets it remains a challenge to obtain a detailed description of the proliferation of correlated topological electronic phases and their filling-dependence. We perform a…

Strongly Correlated Electrons · Physics 2023-04-10 Clara N. Breiø , Brian M. Andersen

Altermagnets are a promising class of materials for spintronic applications. However, compounds that simultaneously combine the symmetry required to support an anomalous Hall effect with good metallic conductivity and magnetic ordering…

The quantum anomalous Hall (QAH) effect is conventionally understood to exist only in Chern insulators, while a recent study has shown that ferromagnetic metals can also host the QAH effect. Between insulators and metals, we demonstrate…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in one material, and their tunability, has opened…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Petr Stepanov , Ming Xie , Takashi Taniguchi , Kenji Watanabe , Xiaobo Lu , Allan H. MacDonald , B. Andrei Bernevig , Dmitri K. Efetov

The quantum anomalous Hall system with Chern number 2 can be destroyed by sufficiently strong disorder. During its process towards localization, it was found that the electronic states will be directly localized to an Anderson insulator…

Mesoscale and Nanoscale Physics · Physics 2016-01-12 Zhi-Gang Song , Yan-Yang Zhang , Jun-Tao Song , Shu-Shen Li

Over a long period of exploration, the successful observation of quantized version of anomalous Hall effect (AHE) in thin film of magnetically-doped topological insulator completed a quantum Hall trio---quantum Hall effect (QHE), quantum…

Mesoscale and Nanoscale Physics · Physics 2015-08-18 Hongming Weng , Rui Yu , Xiao Hu , Xi Dai , Zhong Fang

Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. We conclusively show that a partially filled Chern insulator at 1/3 filling exhibits a fractional quantum Hall…

Strongly Correlated Electrons · Physics 2015-03-19 N. Regnault , B. Andrei Bernevig

The interplay of electronic interactions and nontrivial topology can give rise to a wealth of exotic quantum states. A notable example is the formation of Wigner crystals driven by strong electron-electron interactions. When these…

Mesoscale and Nanoscale Physics · Physics 2025-02-26 Hanxiao Xiang , Jing Ding , Jiannan Hua , Naitian Liu , Wenqiang Zhou , Qianmei Chen , Kenji Watanabe , Takashi Taniguchi , Na Xin , Wei Zhu , Shuigang Xu

Recent discoveries of zero-field fractional Chern insulators in moir\'e materials have attracted intensive research interests. However, most current theoretical and experimental attempts focus on systems with low Chern number bands, in…

Strongly Correlated Electrons · Physics 2024-08-07 Chonghao Wang , Xiaoyang Shen , Ruiping Guo , Chong Wang , Wenhui Duan , Yong Xu

Despite sharing a common lattice structure, monolayer M$_2$X$_2$ compounds realize quantum anomalous Hall phases with distinct Chern numbers, a striking phenomenon that has not been fully exploared. Combining first-principles calculations…

Materials Science · Physics 2025-09-09 Zujian Dai , Xudong Zhu , Lixin He

Magnetic topological materials with coexisting magnetism and non-trivial band structures exhibit many novel quantum phenomena, including the quantum anomalous Hall effect, the axion insulator state, and the Weyl semimetal phase. As a…

Two dimensional materials subject to long-wavelength modulations have emerged as novel platforms to study topological and correlated quantum phases. In this article, we develop a versatile and computationally inexpensive method to predict…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 Valentin Crépel , Jennifer Cano

Altermagnets, recently identified as a third class of collinear magnetic materials, have attracted significant attention in condensed matter physics. Despite this growing interest, the realization of real Chern insulators in intrinsic…

Materials Science · Physics 2025-12-19 Yong-Kun Wang , Shifeng Qian , An-Dong Fan , Si Li

The magnetic topological phases attract much interest, such as the axion insulator, higher-order topology, Weyl semimetals, and the quantum anomalous Hall effect (QAHE). Here, we predict that the axion insulator phase, magnetic Weyl points,…

Materials Science · Physics 2025-01-31 Jingyu Yao , Ruihan Zhang , Sheng Zhang , Haohao Sheng , Youguo Shi , Zhong Fang , Hongming Weng , Zhijun Wang

Antiferromagnets are promising candidates for next-generation spintronic devices owing to their negligible stray fields and ultrafast spin dynamics. The noncollinear antiferromagnet $\mathrm{Mn}_{3}\mathrm{Sn}$ exhibits a large anomalous…

Materials Science · Physics 2026-03-17 Yiming Liu , Xin Liu , Jiayao Zhu , Fengxian Ma , Li Ma , Dewei Zhao , Guoke Li , Congmian Zhen , Denglu Hou

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…

Mesoscale and Nanoscale Physics · Physics 2026-02-24 Panjun Feng , Miao Gao , Xun-Wang Yan , Fengjie Ma

A peculiar feature of the majority of three dimensional topological insulator surface states studied experimentally thus far, namely their particle-hole asymmetry, makes quantum oscillations (Shubnikov de Haas and de Haas van Alphen…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Anthony R. Wright

Progress in magnetoelectric materials is hindered by apparently contradictory requirements for time-reversal symmetry broken and polar ferroelectric electronic structure in common ferromagnets and antiferromagnets. Alternative routes could…

The flat bands resulting from moir\'e superlattices in magic-angle twisted bilayer graphene (MATBG) and ABC-trilayer graphene aligned with hexagonal boron nitride (ABC-TLG/hBN) have been shown to give rise to fascinating correlated electron…

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