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arXiv · 1404.5437

Spin-wave-induced correction to the conductivity of ferromagnets

Jeroen Danon·Alessandro Ricottone·Piet W. Brouwer
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Abstract

We calculate the correction to the conductivity of a disordered ferromagnetic metal due to spin-wave-mediated electron--electron interactions. This correction is the generalization of the Altshuler-Aronov correction to spin-wave-mediated interactions. We derive a general expression for the conductivity correction to lowest order in the spin-wave-mediated interaction and for the limit that the exchange splitting $\Delta$ is much smaller than the Fermi energy. For a "clean" ferromagnet with $\Delta\tau_{\rm el}/\hbar \gg 1$, with $\tau_{\rm el}$ the mean time for impurity scattering, we find a correction $\delta \sigma \propto -T^{5/2}$ at temperatures $T$ above the spin wave gap. In the opposite, "dirty" limit, $\Delta\tau_{\rm el}/\hbar \ll 1$, the correction is a non-monotonous function of temperature.

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Jeroen Danon, Alessandro Ricottone, Piet W. Brouwer. 2014-04-22. Spin-wave-induced correction to the conductivity of ferromagnets. https://doi.org/10.1103/physrevb.90.024405

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