Low-Temperature Quantum Relaxation in a System of Magnetic Nanomolecules

Details Low-Temperature Quantum Relaxation in a System of Magnetic Nanomolecules Low-Temperature Quantum Relaxation in a System of Magnetic Nanomolecules

1997-10-23

arxiv.org/abs/cond-mat/9710246v1

Physics

Condensed Matter

4 pages, 3 PostScript figures, LaTex

Scientific paper

10.1103/PhysRevLett.80.5794

We argue that to explain recent resonant tunneling experiments on crystals of Mn$_{12}$ and Fe$_8$, particularly in the low-T limit, one must invoke dynamic nuclear spin and dipolar interactions. We show the low-$T$, short-time relaxation will then have a $\sqrt{t/\tau}$ form, where $\tau $ depends on the nuclear $T_2$, on the tunneling matrix element $\Delta_{10}$ between the two lowest levels, and on the initial distribution of internal fields in the sample, which depends very strongly on sample shape. The results are directly applicable to the $Fe_8$ system. We also give some results for the long-time relaxation.

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