SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915286766059520 |
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| author | Cônsoli, Pedro M. Vojta, Matthias |
| author_facet | Cônsoli, Pedro M. Vojta, Matthias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands Cônsoli, Pedro M. Vojta, Matthias Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases 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. |
| title | SU($N$) altermagnetism: Lattice models, magnon modes, and flavor-split bands |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2402.18629 |