Hall effect in the marginal Fermi liquid regime of high-Tc superconductors

TL;DR

This paper develops a detailed transport theory for high-Tc cuprates, explaining the anomalous temperature dependence of the Hall angle through small-angle elastic and inelastic scattering mechanisms, aligning well with experimental data.

Contribution

It provides a comprehensive derivation of transport equations incorporating small-angle elastic and inelastic scattering, matching experimental Hall angle behavior in cuprates.

Findings

Good quantitative agreement with the temperature dependence of the Hall angle.

Resistivity remains linear in temperature despite complex scattering.

Extended the theory to frequency-dependent Hall angle.

Abstract

The detailed derivation of a theory for transport in quasi-two-dimensional metals, with small-angle elastic scattering and angle-independent inelastic scattering is presented. The transport equation is solved for a model Fermi surface representing a typical cuprate superconductor. Using the small-angle elastic and the inelastic scattering rates deduced from angle-resolved photoemission experiments, good quantitative agreement with the observed anomalous temperature dependence of the Hall angle in optimally doped cuprates is obtained, while the resistivity remains linear in temperature. The theory is also extended to the frequency-dependent complex Hall angle.