article · Physical Review Letters
Altermagnetic materials feature zero net magnetic moment, yet their symmetry permits an anomalous Hall effect. A theoretical model demonstrates that this effect can be driven directly by electronic interactions. Grounded in a modified Kane-Mele framework featuring antiferromagnetic spin-spin correlations, the system undergoes a finite temperature phase transition. Quantum Monte Carlo simulations reveal that this transition is governed by a primary antiferromagnetic order parameter alongside a secondary order parameter of the Haldane type. When doped away from half-filling, the emergence of both orders converts the metallic state into an altermagnet exhibiting finite anomalous Hall conductivity. These findings, corroborated by a mean field ansatz, open up avenues for investigating correlation-induced altermagnets that possess a finite Berry curvature.
Understanding how electron interactions generate magnetic and topological phenomena helps researchers map unconventional quantum states. Showing that an anomalous Hall effect can arise in altermagnets without net magnetisation expands fundamental knowledge of topological materials, offering new theoretical foundations for studying how Berry curvature and electronic correlations intersect in magnetic matter.
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While altermagnetic materials are characterized by a vanishing net magnetic moment, their symmetry in principle allows for the existence of an anomalous Hall effect. Here, we introduce a model with altermagnetism in which the emergence of an anomalous Hall effect is driven by interactions. This model is grounded in a modified Kane-Mele framework with antiferromagnetic spin-spin correlations. Quantum Monte Carlo simulations show that the system undergoes a finite temperature phase transition governed by a primary antiferromagnetic order parameter accompanied by a secondary one of Haldane type. The emergence of both orders turns the metallic state of the system, away from half-filling, to an altermagnet with a finite anomalous Hall conductivity. A mean field ansatz corroborates these results, which pave the way into the study of correlation induced altermagnets with finite Berry curvature.
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DOI: 10.1103/physrevlett.133.086503
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