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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 International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China;
2 Hefei National Laboratory, Hefei 230088, China |
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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.
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Received: 24 December 2025
Revised: 04 February 2026
Accepted manuscript online: 06 February 2026
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PACS:
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73.43.-f
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(Quantum Hall effects)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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75.50.Ee
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(Antiferromagnetics)
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72.20.My
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(Galvanomagnetic and other magnetotransport effects)
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| Fund: 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). |
Corresponding Authors:
Qing-Feng Sun
E-mail: sunqf@pku.edu.cn
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Cite this article:
Lizhou Liu(刘立周) and Qing-Feng Sun(孙庆丰) Quantum anomalous Hall effect with tunable Chern numbers induced by d-wave sublattice-staggered altermagnetism 2026 Chin. Phys. B 35 057301
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