Field-induced thermal Hall response in a frustrated honeycomb lattice
The zero magnetic field collinear Neel order in unfrustrated honeycomb antiferromagnet shows vanishing thermal Hall response of spin excitations in the presence of a Dzyaloshinskii-Moriya interaction (DMI). In stark contrast to this result, we show that thermal Hall response persists in the magnetic field-induced ordered regime of the frustrated honeycomb antiferromagnets, with both the out-of-plane and in-plane DMIs, which are parallel or perpendicular to the magnetic field. Since the magnetic field can circumvent frustrated interactions and induces magnetic order in many frustrated antiferromagnets, our results are experimentally accessible in various frustrated honeycomb quantum magnets. We believe that these results persist in other two-dimensional frustrated magnets with field-induced magnetically ordered phase.