T-square resistivity without Umklapp scattering in dilute metallic Bi2O2Se

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.

Thermal resistivity and hydrodynamics of the degenerate electron fluid in antimony

“…Such collisions can relax momentum through two mechanisms known as Umklapp and interband (or Baber) scattering. There are two known cases of T -square resistivity in absence of either mechanisms 34 , 35 .…”

Electron–Phonon Coupling and Electron–Phonon Scattering in SrVO3

“…[ 53 , 54 ] Indeed, a cylindrical FS of SVO has been observed by ARPES. [ 43 , 55 , 56 , 57 ] The recent observation of a similar T 2 ‐dependent resistivity in Bi 2 O 2 Se oxyselenides, where the FS is an elongated ellipsoid, [ 12 ] may point to a common origin.…”

“…[ 11 ] ), and in some high‐ T C superconductors (HTS), and oxyselenides. [ 12 ] It has been emphasized that although μ ≈ T −2 may be consistent with the picture of e–e scattering in a FL, the dependence of the amplitude of this scattering term on carrier density sharply contradicts expectations based on the FL description of interacting electron systems. [ 11 , 13 ] Therefore, the whole scenario should be revisited.…”

Wide-range $T^2$ resistivity and umklapp scattering in moiré graphene

“…It is interesting to mention that many different systems feature resistivity with a large nonlinear T dependence. These include, in particular, the oxide compounds such as SrTiO 3 [31][32][33], high-T c cuprates [34,35], and Bi 2 O 2 Se [36] and, notably, a semiconductor with only one Fermi surface [33]. Problems with a common FL explanation has led to considering other possibilities such as the scattering by soft phonons [31,37,38].…”