Abstract
We report the transport and noise properties as function of temperature and electric field of ${\text{Ar}}^{+}$ irradiated ${\text{SrTiO}}_{3}$ exhibiting at its surface a high-mobility electron gas. This system exhibits metallic properties with low-charge densities allowing mobility measurements. The low-frequency $1/f$ noise presents a linear dependence with the mobility. This nonintuitive variation requires a rewriting of the commonly used Hooge model.
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