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We report on low-temperature heat-transport properties of the spin-1/2triangular-lattice antiferromagnet Cs$_2$CuCl$_4$. Broad maxima in the thermalconductivity along the three principal axes, observed at about 5 K, areinterpreted in terms of the Debye model, including the phonon Umklappscattering. For thermal transport along the $b$ axis, we observed a pronouncedfield-dependent anomaly, close to the transition into the three-dimensionallong-range-ordered state. No such anomalies were found for the transport alongthe $a$ and $c$ directions. We argue that this anisotropic behavior is relatedto an additional heat-transport channel through magnetic excitations, that canbest propagate along the direction of the largest exchange interaction.Besides, peculiarities of the heat transport of Cs$_2$CuCl$_4$ in magneticfields up to the saturation field and above are discussed.

Evidence of one-dimensional magnetic heat transport in the triangular-lattice antiferromagnet Cs$_2$CuCl$_4$