Scalable T^2 resistivity in a small single-component Fermi surface

Scattering among electrons generates a distinct contribution to electrical resistivity that follows a quadratic temperature dependence. In strongly-correlated electron systems, the prefactor A of this T${}^2$ resistivity scales with the magnitude of the electronic specific heat. Here, we show that one can change the magnitude of A by four orders of magnitude in metallic SrTiO3 by tuning the concentration of the carriers and consequently, the Fermi energy. The T${}^2$ behavior persists in the single-band dilute limit despite the absence of two known mechanisms for T${}^2$ behavior, distinct electron reservoirs and Umklapp processes. The results highlight the absence of a microscopic theory for momentum decay through electron-electron scattering in different Fermi liquids.