Unconventional scaling of resistivity in two-dimensional Fermi liquids

Abstract

We study the temperature dependence of the electrical resistivity of interacting two-dimensional metallic systems. We perform a numerical simulation of the nonequilibrium state based on semiclassical Boltzmann transport theory. Through our simulation, we demonstrate that deviations from the predictions of standard Fermi-liquid theory can arise due to the special scattering geometry of umklapp processes, in special cases even in the ultra-low-temperature limit. Umklapp scattering is required to relax the total momentum of the quasiparticle distribution function. We investigate the transport properties of a two-dimensional system of quasiparticles with repulsive on-site interactions and nonmagnetic impurity scattering on a square lattice with a single-orbital tight-binding model of the dispersion. We demonstrate that unconventional scaling properties of the electrical resistivity, which are often interpreted as indication of a non-Fermi-liquid state, can arise due to special geometric conditions of the Fermi surface. The appearance of robust deviations from the predictions of Fermi-liquid theory within our simple model presents a novel viewpoint in order to interpret unconventional transport properties in electron-electron scattering dominated metallic systems.

11 pages, 9 figures

References in corpus (4)

• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Thermoelectric Effect of Correlated Metals - Band Structure Effects and the Breakdown of Mott's Formula
• Effect of Electron-electron Interaction on Surface Transport in Three-Dimensional Topological Insulators
• Numerical Study of Charge Transport of Overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ within Semiclassical Boltzmann Transport Theory

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• Deviation from the Fermi-Liquid Transport Behavior in the Vicinity of a Van Hove Singularity
• High-order Van Hove singularities and their connection to flat bands
• Anomalous metallic state in quasi-two-dimensional BaNiS${}_2$