Stabilization of Biskyrmions by chiral interaction in centrosymmetric magnets

Abstract

We report a microscopic mechanism for stabilization of biskyrmions in nature by investigating a minimal classical spin lattice model with nearest neighbour ferromagnetic Heisenberg exchange and static chiral magnetic interaction on the triangular lattice. The model is physically motivated model from the Mott insulators with broken time-reversal symmetry, that is, in the large-$U$ limit of the one band Hubbard model at half-filling on a two-dimensional lattice in the presence of external magnetic field. At order $1/U^{2}$, the external magnetic field can induce a chiral interaction between the three neighbouring spins. We demonstrate that the chiral magnetic interaction results in biskyrmion states above a critical value and its strength affects the size of biskyrmions forming.