Low-temperature thermal conductivity of Co$_{1-x}$M$_x$Si (M=Fe, Ni) alloys

In this work, we study the low-temperature electrical and thermal conductivity of CoSi and Co$_{1-x}$M$_x$Si alloys (M=Fe, Ni; 0 $ < x \leq$ 0.06). Measurements show that the low-temperature electrical conductivity of Co$_{1-x}$Fe$_{x}$Si alloys decreases at $x > $ 0.01 by an order of magnitude compared with that of stoichiometric CoSi. To a first approximation, both, the lattice and the electronic contributions to thermal conductivity are expected to decrease in a metallic alloy. However, our experimental results revealed that at temperatures below 20K the thermal conductivity of Fe - and Ni - containing alloys is up to 4 times larger than that of stoichiometric CoSi. We discuss possible mechanisms of the thermal conductivity enhancement. The most probable one is related to the dominant scattering of phonons by charge carriers. We generalize the existing theoretical models to complex semimetallic electronic structure of CoSi featuring multiple non-equivalent valleys and show that this mechanism can qualitatively and quantatively account for the increase of the lattice thermal conductivity with increasing disorder and for the linear temperature dependence of the thermal conductivity in the Co$_{1-x}$Fe$_x$Si alloys below 20K.