Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals II: Scattering by ferromagnons

Abstract

In a previous paper (Paper I) we developed a technique for exactly solving the linearized Boltzmann equation for the electrical and thermal transport coefficients in metals in the low-temperature limit. Here we adapt this technique to determine the magnon contribution to the electrical and thermal conductivities, and to the thermopower, in metallic ferromagnets. For the electrical resistivity $\rho$ at asymptotically low temperatures we find $\rho \propto \exp (-T_{\min }/T)$, with $T_{\min }$ an energy scale that results from the exchange gap and a temperature independent prefactor of the exponential. The corresponding result for the heat conductivity is ${\sigma }_h\propto T^3\exp (T_{\min }/T)$, and thermopower is $S\propto T$. All of these results are exact, including the prefactors.

13pp., 1 fig

References in corpus (5)

• Theory of helimagnons in itinerant quantum systems II: Nonanalytic corrections to Fermi-liquid behavior
• Theory of Helimagnons in Itinerant Quantum Systems III: Quasiparticle Description
• Theory of Helimagnons in Itinerant Quantum Systems IV: Transport in the Weak-Disorder Regime
• Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals I: Scattering by phonons, antiferromagnons, and helimagnons
• Electronic relaxation rates in metallic ferromagnets

Cited by in corpus (1)

• Exact solution of the Boltzmann equation for low-temperature transport coefficients in metals I: Scattering by phonons, antiferromagnons, and helimagnons