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We present electrical transport data for single-crystalline Co$_2$FeSi whichprovide clear-cut evidence that this Heusler compound is truly a half-metallicferromagnet, i.e. it possesses perfect spin-polarization. More specifically,the temperature dependence of $\rho$ is governed by electron scattering offmagnons which are thermally excited over a sizeable gap $\Delta\approx 100 K$($\sim 9 meV$) separating the electronic majority states at the Fermi levelfrom the unoccupied minority states. As a consequence, electron-magnonscattering is only relevant at $T\gtrsim\Delta$ but freezes out at lowertemperatures, i.e., the spin-polarization of the electrons at the Fermi levelremains practically perfect for $T\lesssim\Delta$. The gapped magnon populationhas a decisive influence on the magnetoresistance and the anomalous Hall effect(AHE): i) The magnetoresistance changes its sign at $T\sim 100 K$, ii) theanomalous Hall coefficient is strongly temperature dependent at $T\gtrsim 100K$ and compatible with Berry phase related and/or side-jump electronicdeflection, whereas it is practically temperature-independent at lowertemperatures.

Half-Metallic Ferromagnetism in the Heusler Compound Co$_2$FeSi revealed by Resistivity, Magnetoresistance, and Anomalous Hall Effect measurements