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The physical systems with ferromagnetism and "bad" metallicity hostingunusual transport properties are playgrounds of novel quantum phenomena.Recently EuTi$_{1-x}$Nb$_x$O$_3$ emerged as a ferromagnetic system wherenon-trivial temperature dependent transport properties are observed due tocoexistence and competition of various magnetic and non-magnetic scatteringprocesses. In the ferromagnetic state, the resistivity shows a $T^2$temperature dependence possibly due to electron-magnon scattering and above theCurie temperature $T_c$, the dependence changes to $T^{3/2}$ behaviourindicating a correlation between transport and magnetic properties. In thispaper, we show that the transport spin-polarization in EuTi$_{1-x}$Nb$_x$O$_3$,a low Curie temperature ferromagnet, is as high ($\sim 40\%$) as that in someof the metallic ferromagnets with high Curie temperatures. In addition, owingto the low Curie temperature of EuTi$_{1-x}$Nb$_x$O$_3$, the temperature ($T$)dependence of $P_t$ could be measured systematically up to $T_c$ which revealeda proportionate relationship with magnetization $M_s$ vs. $T$. This indicatesthat such proportionality is far more universally valid than the ferromagnetswith ideal parabolic bands. Furthermore, our band structure calculations notonly helped understand the origin of such high spin polarization inEuTi$_{1-x}$Nb$_x$O$_3$ but also provided a route to estimate the Hubbard $U$parameter in complex metallic ferromagnets in general using experimentalinputs.

High spin-polarization in the low Curie temperature complex itinerant ferromagnet EuTi$_{1-x}$Nb$_x$O$_3$