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We demonstrate theoretically that the thermal Hall effect of magnons incollinear antiferromagnetic insulators is an indicator of magnetic andtopological phase transitions in the magnon spectrum. The transversal heatcurrent of magnons caused by a thermal gradient is calculated for anantiferromagnet on a honeycomb lattice. An applied magnetic field drives thesystem from the antiferromagnetic phase via a spin-flop phase into thefield-polarized phase. Besides these magnetic phase transitions we findtopological phase transitions within the spin-flop phase. Both types oftransitions manifest themselves in prominent and distinguishing features in thethermal conductivities; depending on the temperature, the conductivity changesby several orders of magnitude, providing a tool to discern experimentally thetwo types of phase transitions. We include numerical results for the van derWaals magnet MnPS$_3$.

Thermal Hall effect of magnons in collinear antiferromagnetic insulators: signatures of magnetic and topological phase transitions