Planar Thermal Hall Effects in Kitaev Spin Liquid Candidate Na2Co2TeO6

We investigate both the longitudinal thermal conductivity (${\kappa }_{xx}$) and the planar thermal Hall conductivity (${\kappa }_{xy}$) in the Kitaev spin liquid candidate of Co-based honeycomb antiferromagnet Na${}_2$Co${}_2$TeO${}_6$ in a magnetic field ($B$) applied along the $a$ and $a^{\ast }$ axes. A finite ${\kappa }_{xy}$ is resolved for both field directions in the antiferromagnetic (AFM) phase below the Néel temperature of 27 K. The temperature dependence of ${\kappa }_{xy}\mathrm{/}T$ shows the emergence of topological bosonic excitations. In addition, the field dependence of ${\kappa }_{xy}$ shows sign reversals at the critical fields in the AFM phase, suggesting the changes in the Chern number distribution of the topological magnons. Remarkably, a finite ${\kappa }_{xy}$ is observed in $B\parallel a^{\ast }$ between the first-order transition field in the AFM phase and the saturation field, which is prohibited in a disordered state by the two-fold rotation symmetry around the $a^{\ast }$ axis of the honeycomb lattice, showing the presence of a magnetically ordered state that breaks the two-fold rotation symmetry. Our results demonstrate the presence of topological magnons in this compound in the whole field range below the saturation field.