Conditions for $T^2$ resistivity from electron-electron scattering

Abstract

Many complex oxides (including titanates, nickelates and cuprates) show a regime in which resistivity follows a power law in temperature ($\rho \propto T^2$). By analogy to a similar phenomenon observed in some metals at low temperature, this has often been attributed to electron-electron (Baber) scattering. We show that Baber scattering results in a $T^2$ power law only under several crucial assumptions which may not hold for complex oxides. We illustrate this with sodium metal (${\rho }_{\text{el-el}}\propto T^2$) and strontium titanate (${\rho }_{\text{el-el}}/\propto T^2$). We conclude that an observation of $\rho \propto T^2$ is not sufficient evidence for electron-electron scattering.

5 pages, 4 figures

References in corpus (2)

• First-principles study of the mobility of SrTiO${}_3$
• Microscopic mechanisms for the Fermi-liquid behavior of Nb-doped strontium titanate

Cited by in corpus (6)

• Superconductivity in dilute SrTiO${}_3$: a review
• Metallicity without quasi-particles in room-temperature strontium titanate
• Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics
• Electron-hole scattering limited transport of Dirac fermions in a topological insulator
• Fermi-Liquid $T^2$ Resistivity: Dynamical Mean-Field Theory Meets Experiment
• Die Hard Holographic Phenomenology of Cuprates