T-square resistivity without Umklapp scattering in dilute metallic Bi2O2Se

Abstract

Abstract Fermi liquids (FLs) display a quadratic temperature ( T ) dependent resistivity. This can be caused by electron-electron (e-e) scattering in presence of inter-band or Umklapp scattering. However, dilute metallic SrTiO 3 was found to display T 2 resistivity in absence of either of the two mechanisms. The presence of soft phonons as possible scattering centers raised the suspicion that T 2 resistivity is not due to e-e scattering. Here, we present the case of Bi 2 O 2 Se, a layered semiconductor with hard phonons, which becomes a dilute metal with a small single-component Fermi surface upon doping. It displays T 2 resistivity well below the degeneracy temperature in absence of Umklapp and inter-band scattering. We observe a universal scaling between the T 2 resistivity prefactor ( A ) and the Fermi energy ( E F ), an extension of the Kadowaki-Woods plot to dilute metals. Our results imply the absence of a satisfactory understanding of the ubiquity of e-e T 2 resistivity in FLs.