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arXiv · 2402.18629

SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands

Pedro M. Cônsoli·Matthias Vojta
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Abstract

Altermagnetism, a type of magnetic order that combines properties of ferro- and antiferromagnets, has stirred great interest lately not only as a promising source of spintronics applications, but also as a potential gateway to exotic phases of matter. Here, we demonstrate how to generalize collinear altermagnetism to SU($N$) magnets with $N>2$. Guided by symmetry principles, we present a recipe to construct Heisenberg models for such generalized altermagnets and apply it explicitly for $N=3,4$. Using flavor-wave theory, we compute the excitation spectrum of a two-dimensional SU(3) model and show that it exhibits magnon bands with altermagnetic splitting according to magnetic quantum numbers; we connect this quantum-number splitting to the frequently used concept of magnon chirality. We also compute the electronic band structure for a metallic system of the same symmetry and map out the polarization of the resulting flavor-split bands.

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Pedro M. Cônsoli, Matthias Vojta. 2024-02-28. SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands. https://doi.org/10.1103/physrevlett.134.196701

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