  We theoretically investigate the thermal Hall transport of magnon-polarons in
a two-dimensional honeycomb antiferromagnetic insulator under the influence of
a perpendicular magnetic field, varying in strength. The application of a
perpendicular magnetic field induces a magnetic phase transition from the
collinear antiferromagnetic phase to the spin-flop phase, leading to a
significant alteration in Hall transport across the transition point. In this
paper, our focus is on the intrinsic contribution to thermal Hall transport
arising from the magnetoelastic interaction. To facilitate experimental
verification of our theoretical results, we present the dependence of thermal
Hall conductivity on magnetic field strength and temperature.
