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Two-dimensional electron-gas-like charge transport at the interface between a magnetic Heusler alloy and SrTiO<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow /><mml:mn>3</mml:mn></mml:msub></mml:math>
We report remarkably low residual resistivity, giant residual resistivity ratio, free-electron-like Hall resistivity, and high mobility ($\ensuremath{\approx}$10${}^{4}$ cm${}^{2}$ V${}^{\ensuremath{-}1}$ s${}^{\ensuremath{-}1}$) charge transport in epitaxial films of Co${}_{2}$MnSi and Co${}_{2}$FeSi grown on (001) SrTiO${}_{3}$. This unusual behavior is not observed in films deposited on other cubic oxide substrates of comparable lattice …