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We report the temperature and magnetic field dependence of resistivity($\rho$) for single-crystalline EuTi$_{1-x}$Nb$_{x}$O$_3$ ($x$=0.10$-$0.20), anitinerant ferromagnetic system with very low Curie temperature ($T_C$). Thedetailed analysis reveals that the charge conduction inEuTi$_{1-x}$Nb$_{x}$O$_3$ is extremely sensitive to Nb concentration anddominated by several scattering mechanisms. Well below the $T_C$, where thespontaneous magnetization follows the Bloch's $T^{3/2}$ law, $\rho$ exhibits$T^2$ dependence with a large coefficient $\sim$10$^{-8}$ $\Omega$ cm K$^{-2}$due to the electron-magnon scattering. Remarkably, all the studied samplesexhibit a unique resistivity minimum at $T$$=$$T_{\rm min}$ below which $\rho$shows logarithmic increment with $T$ (for $T_{\rm C}$$<$$T$$<$$T_{\rm min}$)due to the Kondo scattering of Nb 4$d^1$ itinerant electrons by the localized4$f$ moments of Eu$^{2+}$ ions which suppresses strongly with applied magneticfield. In the paramagnetic state, $T^{2}$ and $T^{3/2}$ dependence of theresistivity have been observed, suggesting an unusual crossover from aFermi-liquid to a non-Fermi-liquid behavior with increasing $T$. The observedtemperature and magnetic field dependence of resistivity has been analysedusing different theoretical models.

Unconventional transport properties of an itinerant ferromagnet: EuTi$_{1-x}$Nb$_{x}$O$_3$ ($x$=0.10$-$0.20)