The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3

Abstract

We report detailed measurements of the Onsager-like planar thermal Hall conductivity ${\kappa }_{xy}$ in $\alpha$-RuCl${}_3$, a spin-liquid candidate of topical interest. With the thermal current ${\mathbf{J}}_{\mathrm{Q}}$ and magnetic field $\mathbf{B}\parallel \mathbf{a}$ (zigzag axis), the observed ${\kappa }_{xy}/T$ varies strongly with temperature $T$ (1-10 K). The results are well-described by bosonic edge excitations which evolve to topological magnons at large $B$. Fits to ${\kappa }_{xy}/T$ yield a Chern number $\sim 1$ and a band energy ${\omega }_1\sim$1 meV, in agreement with sharp modes seen in electron spin-resonance experiments. The bosonic character is incompatible with half-quantization of ${\kappa }_{xy}/T$.

7 pages, 3 figures

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• Theory of the field-revealed Kitaev spin liquid
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