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 SrTiO3 was found to display T2 resistivity in absence of either of the two mechanisms. The presence of soft phonons as possible scattering centers raised the suspicion that T2 resistivity is not due to e-e scattering. Here, we present the case of Bi2O2Se, a layered semiconductor with hard phonons, which becomes a dilute metal with a small single-component Fermi surface upon doping. It displays T2 resistivity well below the degeneracy temperature in absence of Umklapp and inter-band scattering. We observe a universal scaling between the T2 resistivity prefactor (A) and the Fermi energy (EF), 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 T2 resistivity in FLs.
Highlights
Fermi liquids (FLs) display a quadratic temperature (T) dependent resistivity
According to density functional theory (DFT) calculations[24], the conduction band is centered at the Γ point of the Brillouin zone, following a parabolic dispersion (Fig. 1b and Supplementary Fig. 1)
This has been revealed by angle-resolved photoemission spectroscopy (ARPES) measurements[21,26]
Summary
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. We present the case of Bi2O2Se, a layered semiconductor with hard phonons, which becomes a dilute metal with a small single-component Fermi surface upon doping. It displays T2 resistivity well below the degeneracy temperature in absence of Umklapp and inter-band scattering. The two colliding electrons have distinct electron masses[2] Momentum transfer between these two distinct reservoirs sets the temperature dependence of resistivity, and the mass mismatch causes momentum leak to the lattice thermal bath. It was more recently suggested that this enigmatic T-square resistivity may be caused by exotic mechanisms such as scattering by magnetic impurities[13] or by two soft transverse optical phonons (See Supplementary Discussion)[14,15]
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