We study the Hall response of topological defects, such as merons and antimerons, to spin currents in two-dimensional magnets with in-plane anisotropy in the vicinity of the Berezinskii-Kosterlitz-Thouless (BKT) transition 1. We use a combination of Monte Carlo and spin dynamics simulations to study the transition from spin superfluidity to conventional spin transport, the universal jump of the spin stiffness, and the exponential growth of the transverse vorticity current. We accompany our results by phenomenological description. We show how the spin and vorticity currents can be modulated by changes in density of free topological defects, e.g., by tuning the in-plane magnet across the BKT transition by changing the exchange interaction, magnetic anisotropy, or temperature. We further show how spin and vorticity currents can be controlled by employing connection between vorticity and spin, e.g., we demonstrate spin diode effect.
This work was supported by the U.S. Department of Energy, Office of Science, Basic Energy Sciences, under Award No. DE-SC0021019.
1 Edward Schwartz, Bo Li, and Alexey A. Kovalev, Phys. Rev. Research 4, 023236 (2022)