Magnetotransport near a quantum critical point in a simple metal

TL;DR

This paper investigates how transport properties like conductivity and Hall coefficient behave near a quantum critical point caused by spin density wave formation in a simple metal, revealing that most coefficients vary linearly with the energy gap and that the Hall conductivity remains largely unaffected due to electron-hole compensation.

Contribution

It provides a geometric analysis of transport near a quantum critical point in a nested Fermi surface model, extending previous flat Fermi surface results to more realistic nesting conditions.

Findings

Transport coefficients depend linearly on the energy gap.

Hall conductivity remains unchanged across the quantum critical point.

Results are motivated by experiments on vanadium-doped chromium.

Abstract

We use geometric considerations to study transport properties, such as the conductivity and Hall coefficient, near the onset of a nesting-driven spin density wave in a simple metal. In particular, motivated by recent experiments on vanadium-doped chromium, we study the variation of transport coefficients with the onset of magnetism within a mean-field treatment of a model that contains nearly nested electron and hole Fermi surfaces. We show that most transport coefficients display a leading dependence that is linear in the energy gap. The coefficient of the linear term, though, can be small. In particular, we find that the Hall conductivity $\sigma_{xy}$ is essentially unchanged, due to electron-hole compensation, as the system goes through the quantum critical point. This conclusion extends a similar observation we made earlier for the case of completely flat Fermi surfaces to the immediate vicinity of the quantum critical point where nesting is present but not perfect.