Three-sublattice skyrmion crystal in the antiferromagnetic triangular lattice

Abstract

The frustrated classical antiferromagnetic Heisenberg model with Dzyaloshinskii-Moriya (DM) interactions on the triangular lattice is studied under a magnetic field by means of semiclassical calculations and large-scale Monte Carlo simulations. We show that even a small DM interaction induces the formation of an Antiferromagnetic Skyrmion crystal (AF-SkX) state. Unlike what is observed in ferromagnetic materials, we show that the AF-SkX state consists of three interpenetrating Skyrmion crystals (one by sublattice), and most importantly, the AF-SkX state seems to survive in the limit of zero temperature. To characterize the phase diagram we compute the average of the topological order parameter which can be associated to the number of topological charges or Skyrmions. As the magnetic field increases this parameter presents a clear jump, indicating a discontinuous transition from a spiral phase into the AF-SkX phase, where multiple Bragg peaks coexist in the spin structure factor. For higher fields, a second (probably continuous) transition occurs into a featureless paramagnetic phase.

Spin-orbit coupling and magnetic interactions in Si(111):{C,Si,Sn,Pb}

“…Our results are in agreement with those reported in Ref. 35. However, it is worth mentioning that in this work we have employed an extended spin model including both antisymmetric and symmetric anisotropy terms up to the next-nearest neighbors, that justifies the realization of the so-called multiple q-states in a more general case.…”

“…35 Finally, at higher magnetic fields the AF-SkX state is followed by a vortex-like texture and a paramagnetic phase. Our results are in agreement with those reported in Ref.…”

Skyrmion Crystals in Frustrated Shastry–Sutherland Magnets

“…In addition, several frustrated magnets such as the triangular antiferromagnets are predicted to host the skyrmion lattice phase . Instead of the DM interaction, the competition between the nearest‐neighbor (NN) and next‐nearest‐neighbor (NNN) interactions is essential for stabilizing the skyrmions .…”

Role of direct exchange and Dzyaloshinskii-Moriya interactions in magnetic properties of graphene derivatives: C2F and C2HМазуренко1, Руденко2, Nikolaev3 et al. 2016Phys. Rev. B612460View full textAdd to dashboardCite

“…Another important example known from the literature is the antiferromagnetic (or ferromagnetic) triangular lattice with Dzyaloshinskii-Moriya interactions that favor formation of the antiferromagnetic skyrmion lattice state [52] (or a skyrmion lattice state with the Néel-type domain wall alignment [53]). A similar scenario can be realized in the C 2 F system.…”