Theory of Hall Effect and Electrical Transport in High-Tc Cuprates: Effects of Antiferromagnetic Spin Fluctuations

TL;DR

This paper develops a theoretical framework incorporating vertex corrections and spin fluctuations to explain the complex temperature-dependent Hall effect observed in high-Tc cuprates, including sign changes in electron-doped materials.

Contribution

It introduces a novel approach accounting for vertex corrections and spin correlations, explaining anomalous Hall effect behaviors in high-Tc cuprates beyond previous models.

Findings

Vertex corrections significantly alter the transport current.

Negative Hall contributions arise from Fermi surface regions outside the antiferromagnetic zone.

Hall coefficient's temperature dependence is linked to spin correlation length.

Abstract

In the normal state of high-Tc cuprates, the Hall coefficient shows remarkable temperature dependence, and its absolute value is enhanced in comparison with that value simply estimated on the basis of band structure. It has been recognized that this temperature dependence of the Hall coefficient is due to highly anisotropic quasiparticle damping rate on the Fermi surface. In this paper we further take account of the vertex correction to the current vertex arising from quasiparticle interactions. Then the transport current is transformed to a large extent from the quasiparticle velocity, and is no longer proportional to the latter. As a consequence some pieces of the Fermi surface outside of the antiferromagnetic Brillouin zone make negative contribution to the Hall conductivity, even if the curvature of the Fermi surface is hole-like. The Hall coefficient is much larger at low temperatures than the estimate made without the vertex correction. Temperature dependence of the antiferromagnetic spin correlation length is also crucial to cause remarkable temperature dependence of the Hall coefficient. In our treatment the Hall coefficient of the electron-doped cuprates can be negative despite hole-like curvature of the Fermi surface.