  Using a two-dimensional square lattice Heisenberg model with a Rashba-type
Dzyaloshinskii-Moriya interaction, we demonstrate that chiral spin fluctuations
can give rise to a thermal Hall effect in the absence of any static spin
texture or momentum space topology. It is shown by means of Monte Carlo and
stochastic spin dynamics simulations that the thermal Hall response is finite
at elevated temperature outside of the linear spin wave regime and consistent
with the presence of thermal fluctuation-induced nontrivial topology. Our
result suggests that the high-fluctuation phases outside of the conventional
regime of magnonics may yet be a promising area of exploration for spin-based
electronics.
