中国物理B ›› 2026, Vol. 35 ›› Issue (5): 57301-057301.doi: 10.1088/1674-1056/ae42bb

• • 上一篇    

Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism

Lizhou Liu(刘立周)1 and Qing-Feng Sun(孙庆丰)1,2,†   

  1. 1 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
    2 Hefei National Laboratory, Hefei 230088, China
  • 收稿日期:2025-12-24 修回日期:2026-02-04 接受日期:2026-02-06 发布日期:2026-04-24
  • 通讯作者: Qing-Feng Sun E-mail:sunqf@pku.edu.cn
  • 基金资助:
    This work was financially supported by the National Key R & D Program of China (Grant No. 2024YFA1409002), the National Natural Science Foundation of China (Grant Nos. 12374034 and 12547169), and the Quantum Science and Technology-National Science and Technology Major Project of China (Grant No. 2021ZD0302403).

Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism

Lizhou Liu(刘立周)1 and Qing-Feng Sun(孙庆丰)1,2,†   

  1. 1 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
    2 Hefei National Laboratory, Hefei 230088, China
  • Received:2025-12-24 Revised:2026-02-04 Accepted:2026-02-06 Published:2026-04-24
  • Contact: Qing-Feng Sun E-mail:sunqf@pku.edu.cn
  • Supported by:
    This work was financially supported by the National Key R & D Program of China (Grant No. 2024YFA1409002), the National Natural Science Foundation of China (Grant Nos. 12374034 and 12547169), and the Quantum Science and Technology-National Science and Technology Major Project of China (Grant No. 2021ZD0302403).

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摘要： We construct a minimal spinful tight-binding model on a square lattice, where a d-wave sublattice-staggered altermagnetism drives the quantum anomalous Hall effect. Here the exchange field is staggered between the two sublattices, where it takes opposite signs on $A$ and $B$ described by the Pauli matrix $\tau_z$. The resulting insulating phases host tunable Chern numbers $\mathcal{C}=\pm1$ and $\mathcal{C}=\pm2$, controlled by the staggered exchange strength and the sublattice-staggered potential. We determine the complete phase diagram, identify valley-resolved band inversions at the $X$ and $Y$ points in the Brillouin zone, and demonstrate chiral edge states together with quantized two-terminal conductance plateaus. Our work provides a simple route to realizing the quantum anomalous Hall effect in compensated magnets via a d-wave sublattice-staggered altermagnetism.

关键词: quantum anomalous Hall effect, altermagnetism, tunable Chern number, tight binding model

Abstract: We construct a minimal spinful tight-binding model on a square lattice, where a d-wave sublattice-staggered altermagnetism drives the quantum anomalous Hall effect. Here the exchange field is staggered between the two sublattices, where it takes opposite signs on $A$ and $B$ described by the Pauli matrix $\tau_z$. The resulting insulating phases host tunable Chern numbers $\mathcal{C}=\pm1$ and $\mathcal{C}=\pm2$, controlled by the staggered exchange strength and the sublattice-staggered potential. We determine the complete phase diagram, identify valley-resolved band inversions at the $X$ and $Y$ points in the Brillouin zone, and demonstrate chiral edge states together with quantized two-terminal conductance plateaus. Our work provides a simple route to realizing the quantum anomalous Hall effect in compensated magnets via a d-wave sublattice-staggered altermagnetism.

Key words: quantum anomalous Hall effect, altermagnetism, tunable Chern number, tight binding model

中图分类号:  (Quantum Hall effects)

  • 73.43.-f
03.65.Vf (Phases: geometric; dynamic or topological) 75.50.Ee (Antiferromagnetics) 72.20.My (Galvanomagnetic and other magnetotransport effects)