Magnetotransport near a quantum critical point in a simple metal

Details Magnetotransport near a quantum critical point in a simple metal Magnetotransport near a quantum critical point in a simple metal

2003-12-05

arxiv.org/abs/cond-mat/0312168v1

Phys. Rev. B, 69, 144423 (2004)

Physics

Condensed Matter

Materials Science

11 pages revtex, 4 figures

Scientific paper

10.1103/PhysRevB.69.144423

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.

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