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

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.

5+14 pages, 3+2 figures

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Cited by in corpus (6)

• Spontaneous magnon decay in two-dimensional altermagnets
• Quantum critical scaling of altermagnetism
• Spin-dependent quasiparticle lifetimes in altermagnets
• Magnon topology driven by altermagnetism
• Projectively implemented altermagnetism in an exactly solvable quantum spin liquid
• Anisotropic Band-Split Magnetism in Magnetostrictive CoFe${}_2$O${}_4$