Spin-wave contributions to nuclear magnetic relaxation in magnetic metals

V. Yu. Irkhin; M. I. Katsnelson

doi:10.1007/s100510170316

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2024 Impact factor 1.7

Condensed Matter and Complex Systems

Eur. Phys. J. B 19, 401-408 (2001)
https://doi.org/10.1007/s100510170316

Spin-wave contributions to nuclear magnetic relaxation in magnetic metals

V. Yu. Irkhin^a and M. I. Katsnelson

Institute of Metal Physics, 620219 Ekaterinburg, Russia

Corresponding author: ^a valentin.irkhin@imp.uran.ru

Received: 29 November 1999
Revised: 6 June 2000
Published online: 15 February 2001

Abstract

The longitudinal and transverse nuclear magnetic relaxation rates $1/T_1(T)$ and $1/T_2(T)$ are calculated for three- and two-dimensional (3D and 2D) metallic ferro- and antiferromagnets (FM and AFM) with localized magnetic moments in the spin-wave temperature region. The contribution of the one-magnon decay processes is strongly enhanced in comparison with the standard T-linear Korringa term, especially for the FM case. For the 3D AFM case this contribution diverges logarithmically, the divergence being cut at the magnon gap $\omega _0$ due to magnetic anisotropy, and for the 2D AFM case as $\omega _0^{-1}$ . The electron-magnon scattering processes yield $T^2\ln (T/\omega _0)$ and $T^2/\omega _0^{1/2}$ -terms in $1/T_1$ for the 3D AFM and 2D FM cases, respectively. The two-magnon ("Raman") contributions are investigated and demonstrated to be large in the 2D FM case. Peculiarities of the isotropic 2D limit (where the correlation length is very large) are analyzed.