Small-angle scattering in a marginal Fermi-liquid

TL;DR

This paper investigates how small-angle scattering affects magnetotransport in a marginal Fermi liquid, revealing unique temperature dependencies and confirming Kohler's rule in magnetoresistance.

Contribution

It provides a detailed analysis of small-angle scattering effects on magnetotransport properties in a marginal Fermi liquid, with both analytical and numerical results.

Findings

Small-angle scattering alters the Hall angle near particle-hole symmetric Fermi surfaces.

Magnetoresistance consistently obeys Kohler's rule.

The model explains anomalous temperature dependence in high-Tc cuprates.

Abstract

We study the magnetotransport properties of a model of small-angle scattering in a marginal Fermi liquid. Such a model has been proposed by Varma and Abrahams [Phys. Rev. Lett. 86, 4652 (2001)] to account for the anomalous temperature dependence of in-plane magnetotransport properties of the high-Tc cuprates. We study the resistivity, Hall angle and magnetoresistance using both analytical and numerical techniques. We find that small-angle scattering only generates a new temperature dependence for the Hall angle near particle-hole symmetric Fermi surfaces where the conventional Hall term vanishes. The magnetoresistance always shows Kohler's rule behavior.