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Low-Temperature Competing Magnetic Energy Scales in the Topological Ferrimagnet TbMn 6 Sn 6

TbMn 6 Sn 6 is a metallic ferrimagnet displaying signatures of both topological electrons and topological magnons arising from ferromagnetism and spin-orbit coupling within its Mn kagome layers. Inelastic neutron scattering measurements find strong ferromagnetic (FM) interactions within the Mn kagome layer and reveal a magnetic bandwidth of ~230 meV. The low-energy magnetic excitations are characterized by strong FM Mn-Mn and antiferromagnetic (AFM) Mn-Tb interlayer magnetic couplings. We observe weaker, competing long-range FM and AFM Mn-Mn interlayer interactions similar to those driving helical magnetism in the YMn 6 Sn 6 system. Combined with density-functional theory calculations, we find that competing Mn-Mn interlayer magnetic interactions occur in all RMn 6 Sn 6 compounds with R=Y, Gd-Lu, resulting in magnetic instabilities and tunability when Mn-R interactions are weak. In the case of TbMn 6 Sn 6 , strong AFM Mn-Tb coupling ensures a highly stable three-dimensional ferrimagnetic network.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Materials Data on TbMn2 by Materials Project

TbMn2 is Cubic Laves structured and crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Tb is bonded in a 12-coordinate geometry to four equivalent Tb and twelve equivalent Mn atoms. All Tb–Tb bond lengths are 3.14 Å. All Tb–Mn bond lengths are 3.01 Å. Mn is bonded to six equivalent Tb and six equivalent Mn atoms to form a mixture of corner, edge, and face-sharing MnTb6Mn6 cuboctahedra. All Mn–Mn bond lengths are 2.57 Å.

36 MATERIALS SCIENCE↗

Materials Data on TbMn12 by Materials Project

TbMn12 crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Tb is bonded in a 12-coordinate geometry to twenty Mn atoms. There are a spread of Tb–Mn bond distances ranging from 3.00–3.17 Å. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded to two equivalent Tb and ten Mn atoms to form a mixture of corner, edge, and face-sharing MnTb2Mn10 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.32–2.56 Å. In the second Mn site, Mn is bonded to two equivalent Tb and ten Mn atoms to form a mixture of distorted corner, edge, and face-sharing MnTb2Mn10 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.54–2.70 Å. In the third Mn site, Mn is bonded in a 10-coordinate geometry to one Tb and thirteen Mn atoms. There are one shorter (2.31 Å) and four longer (2.84 Å) Mn–Mn bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Tb4Mn by Materials Project

Tb4Mn is Iron carbide-like structured and crystallizes in the cubic Fd-3m space group. The structure is zero-dimensional and consists of eight Tb4Mn clusters. Tb is bonded in a single-bond geometry to one Mn atom. The Tb–Mn bond length is 2.48 Å. Mn is bonded in a tetrahedral geometry to four equivalent Tb atoms.

36 MATERIALS SCIENCE↗

Materials Data on TbMn3 by Materials Project

TbMn3 crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Tb is bonded to twelve Mn atoms to form a mixture of face and corner-sharing TbMn12 cuboctahedra. All Tb–Mn bond lengths are 2.98 Å. There are three inequivalent Mn sites. In the first Mn site, Mn is bonded in a 12-coordinate geometry to four equivalent Tb and eight Mn atoms. There are a spread of Mn–Mn bond distances ranging from 2.66–3.29 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to four equivalent Tb and eight Mn atoms. All Mn–Mn bond lengths are 2.76 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to four equivalent Tb and eight Mn atoms. There are one shorter (2.66 Å) and one longer (3.29 Å) Mn–Mn bond lengths.

36 MATERIALS SCIENCE↗