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Heat transport mediated by Majorana edge modes in a magnetic insulator leadsto a half-integer thermal quantum Hall conductance, which has recently beenreported for the two-dimensional honeycomb material $\alpha$-RuCl$_3$. Whilethe conventional electronic Hall effect requires a perpendicular magneticfield, we find that this is not the case in $\alpha$-RuCl$_3$. Strikingly, thethermal Hall plateau appears even for a magnetic field with no out-of-planecomponents. The field-angular variation of the quantized thermal Hallconductance has the same sign structure of the topological Chern number, whichis either $\pm$1, as the Majorana band structure of the pure Kitaev spinliquid. This observation of a half-integer anomalous thermal Hall effect firmlyestablishes that the Kitaev interaction is primarily responsible and that thenon-Abelian topological order associated with fractionalization of the localmagnetic moments persists even in the presence of non-Kitaev interactions in$\alpha$-RuCl$_3$.

Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl$_3$