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We report a study on the thermal conductivity of CuFe$_{1-x}$Ga$_x$O$_2$ ($x=$ 0--0.12) single crystals at temperatures down to 0.3 K and in magneticfields up to 14 T. CuFeO$_2$ is a well-known geometrically frustratedtriangular lattice antiferromagnet and can be made to display multiferroicityeither by applying magnetic field along the $c$ axis or by doping nonmagneticimpurities, accompanied with rich behaviors of magnetic phase transitions. Themain experimental findings of this work are: (i) the thermal conductivities($\kappa_a$ and $\kappa_c$) show drastic anomalies at temperature- orfield-induced magnetic transitions; (ii) the low-$T$ $\kappa(H)$ isothermsexhibit irreversibility in a broad region of magnetic fields; (iii) there arephonon scattering effect caused by magnetic fluctuations at very lowtemperatures. These results demonstrate strong spin-phonon coupling in thismaterial and reveal the non-negligible magnetic fluctuations in the "groundstate" of pure and Ga-doped samples.

Low-temperature heat transport of CuFe$_{1-x}$Ga$_x$O$_2$ ($x =$ 0--0.12) single crystals