Magnetotransport in nearly antiferromagnetic metals

TL;DR

This paper develops a theoretical framework for understanding magnetotransport in nearly antiferromagnetic metals near a quantum-critical point, highlighting how disorder and magnetic fields influence resistivity scaling and orbital effects.

Contribution

The study introduces a comprehensive model describing anisotropic spin-fluctuation scattering and its interplay with disorder and magnetic fields in quantum-critical metals.

Findings

Resistivity follows a specific scaling form near the quantum-critical point.

Magnetic field induces a crossover from T-linear to B-linear resistivity in clean samples.

Resistivity saturates at high magnetic fields with a temperature-dependent magnitude.

Abstract

We present a theory of the magnetotransport in weakly disordered metals close to an antiferromagnetic quantum-critical point. The anisotropic scattering from critical spin fluctuations is strongly influenced by weak but isotropic scattering from small amounts of disorder. This leads to a large regime where the resistivity obeys a scaling form rho=rho_0+Delta rho = rho_0+T^{3/2} f(T/\rho_0,(p-p_c)/rho_0,B/rho_0^{3/2}), where rho_0 is the residual resistivity, B the magnetic field and p-p_c>0 measures the distance from the quantum-critical point on the paramagnetic side of the phase diagram. Orbital effects of the magnetic field are most pronounced in very clean samples for not too low temperatures, where the resistivity for increasing magnetic field crosses over from a linear temperature dependence Delta rho =T*sqrt{rho_0} to a resistivity linear in B and independent of T and rho_0. At higher magnetic fields Delta rho saturates at a value proportional to T^{1.5} or T^2/(p-p_c). Deviations from scaling, the interplay of orbital and spin contributions of the magnetic field and experimental test of the spin-fluctuation model are discussed in detail.