NMR as a probe of the relaxation of the magnetization in magnetic molecules

Details NMR as a probe of the relaxation of the magnetization in magnetic molecules NMR as a probe of the relaxation of the magnetization in magnetic molecules

2004-09-10

arxiv.org/abs/cond-mat/0409266v2

Physics

Condensed Matter

Materials Science

Published as Phys. Rev. Letters 94, 077203 (2005) in slightly reduced form

Scientific paper

10.1103/PhysRevLett.94.077203

We investigate the time autocorrelation of the molecular magnetization $M(t)$ for three classes of magnetic molecules (antiferromagnetic rings, grids and nanomagnets), in contact with the phonon heat bath. For all three classes, we find that the exponential decay of the fluctuations of $M(t)$, associated with the irreversible exchange of energy with the heat bath, is characterized by a single characteristic time $\tau (T,B)$ for not too high temperature $T$ and field $B$. This is reflected in a nearly single-lorentzian shape of the spectral density of the fluctuations. We show that such fluctuations are effectively probed by NMR, and that our theory explains the recent phenomenological observation by Baek et al. (PRB70, 134434) that the Larmor-frequency dependence of $1/T_1$ data in a large number of AFM rings fits to a single-lorentzian form.

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