T-square resistivity without Umklapp scattering in dilute metallic Bi2O2Se
Jialu Wang, Jing Wu, Tao Wang, Zhuokai Xu, Jifeng Wu, Wanghua Hu, Zhi Ren, Shi Liu, Kamran Behnia, Xiao Lin
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.