Magnetotransport near a quantum critical point in a simple metal

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.

arXiv comment11 pages revtex, 4 figures

References in corpus (4)

• Locally critical quantum phase transitions in strongly correlated metals
• Local fluctuations in quantum critical metals
• Hall Effect in Nested Antiferromagnets Near the Quantum Critical Point
• Sharp signature of DDW quantum critical point in the Hall coefficient of the cuprates

Cited by in corpus (14)

• Influence of Generic Scale Invariance on Classical and Quantum Phase Transitions
• Theory of Low-Temperature Hall Effect in Electron-Doped Cuprates
• Universal Magnetic-Field-Driven Metal-Insulator-Metal Transformations in Graphite and Bismuth
• Quasiparticle Nernst effect in stripe-ordered cuprates
• Hall effect in heavy-fermion metals
• Breakdown of weak-field magnetotransport at a metallic quantum critical point
• Breakdown of Fermi liquid behavior at the (π,π)=2k_F spin-density wave quantum-critical point: the case of electron-doped cuprates
• Nernst effect in the electron-doped cuprates
• Linear magnetoconductivity in multiband spin-density-wave metals with nonideal nesting
• Discontinuous Hall coefficient at the quantum critical point in YbRh2Si2
• The Hall conductivity in unconventional charge density wave systems
• Doping-induced band shifts and Lifshitz transitions in heavy-fermion metals
• Fermi Surface of Cr${}_{1-x}$V${}_x$ across the Quantum Critical Point
• Reply to Comment by S. Friedemann et al. on "Zeeman-Driven Lifshitz Transition: A Model for the Experimentally Observed Fermi-Surface Reconstruction in YbRh2Si2"