Time relaxation of interacting single--molecule magnets

Details Time relaxation of interacting single--molecule magnets Time relaxation of interacting single--molecule magnets

2005-08-23

arxiv.org/abs/cond-mat/0508547v1

Phys.Rev.B v72, 094431 (2005)

Physics

Condensed Matter

Statistical Mechanics

21 LaTeX pages, 6 eps figures. Submitted to PRB on 15 June 2005. Accepted on 13 August 2005

Scientific paper

10.1103/PhysRevB.72.094431

We study the relaxation of interacting single--molecule magnets (SMMs) in both spatially ordered and disordered systems. The tunneling window is assumed to be, as in Fe8, much narrower than the dipolar field spread. We show that relaxation in disordered systems differs qualitatively from relaxation in fully occupied cubic and Fe_8 lattices. We also study how line shapes that develop in ''hole--digging'' experiments evolve with time t in these fully occupied lattices. We show (1) that the dipolar field h scales as t^p in these hole line shapes and show (2) how p varies with lattice structure. Line shapes are not, in general, Lorentzian. More specifically, in the lower portion of the hole, they behave as (h/t^p)^{(1/p)-1} if h is outside the tunnel window. This is in agreement with experiment and with our own Monte Carlo results.

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