High-field magnetic phase diagrams of the $\text{R}$Mn${}_6$Sn${}_6$ kagome metals

Abstract

$\text{R}$Mn${}_6$Sn${}_6$ ($R=$~Y,~Gd$-$Lu) kagome metals are promising materials hosting flat electronic bands and Dirac points that interact with magnetism. The coupling between the two magnetic $R$ and Mn sublattices can drive complex magnetic states with potential consequences for spin and charge transport and other topological properties. Here, we use a detailed magnetic Hamiltonian to calculate and predict the magnetic phase diagrams for $\text{R}$Mn${}_6$Sn${}_6$ kagome metals within the mean-field approximation. These calculations reveal a variety of collinear, non-collinear, and non-coplanar phases that arise from competition between various interlayer magnetic exchange interactions and magnetic anisotropies of the $R$ and Mn ions. We enumerate these phases and their magnetic space groups for future analysis of their impact on topological and trivial bands near the Fermi surface.

20 pages, 12 figures

References in corpus (14)

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• Discovery of a quantum limit Chern magnet TbMn6Sn6
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• Topological Hall effect induced by chiral fluctuations in ErMn6Sn6
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• New insight into tuning magnetic phases of $R$Mn${}_6$Sn${}_6$ kagome metals
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Cited by in corpus (5)

• Kagome metals
• Diverse Magnetic Phase Diagram and Anomalous Hall Effect in Antiferromagetic LuMn${}_6$Sn${}_6$
• Magnetic order and physical properties of the Kagome metal UNb${}_6$Sn${}_6$
• Chiral Magnon Mixing by Symmetry-Breaking in Collinear Ferrimagnets
• Structural modulation, physical properties, and electronic band structure of the kagome metal UCr${}_6$Ge${}_6$