Jacob Gayles, Yan Sun, and Claudia Felser
Max Planck Institute for Chemical Physics of Solids, D-01187 Dresden, Germany
(Dated: August 15, 2019)
Recently, the Heusler compounds Mn1:4PtSn and Mn1:4Pt0:9Pd0:1Sn were shown to stabilize an antiskyrmion
lattice above room temperature and with out an external magnetic field [1]. These Heusler compound forms in
a superstructure with the D2d symmetry, which allows for an anisotropic Dzyaloshinskii-Moriya interaction
(DMI) perpendicular to the tetragonal axis. Furthermore, many of these compounds show a spin reorientation
transition where the topological Hall effect is much larger below the transition than above in the known antiskyrmion
regime [2]. We use density functional theory calculations in combination with atomistic spin dynamic
calculation of MnxYZ compounds to extract the relevant exchange interactions that determine the rich phase
diagrams in these materials. The exchange interactions are between the large moments on the Mn atoms 4B,
which show magnetic states that are non-collinear ferrimagnetic up to the spin reorientation. The major role
of the spin-orbit driven DMI is due to the Z ion, either In, Ga,Sn or Sb where the Y ion (Ru,Rh,Pd,Ir, or Pt )
d-states lowered in energy due to the Jahn-Teller distortion. The content of Mn also plays a large role in the
stabilization of the magnetic textures. The Fermi level can be tuned by the Y ion, either In,Sn or Sb. We last
calculate the anomalous Hall effect and topological Hall effects in these regimes, to capture the influence of the
electronic structure on the Berry curvature.