Tunneling of a large spin via hyperfine interactions

Details Tunneling of a large spin via hyperfine interactions Tunneling of a large spin via hyperfine interactions

1999-11-04

arxiv.org/abs/cond-mat/9911055v1

Phys. Rev. B 61, 12204-12208 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 PR pages, 4 figures, submitted to PRB

Scientific paper

10.1103/PhysRevB.61.12204

We consider a large spin \bf S in the magnetic field parallel to the uniaxial crystal field, interacting with N >> 1 nuclear spins \bf I_i via Hamiltonian \cal H = -DS_z^2 - H_zS_z+ A{\bf S}\cdot \sum_{i=1}^N {\bf I}_i with A << D, at temperature T. Tunneling splittings and the selection rules for the resonant values of H_z are obtained perturbatively. The quantum coherence exists at T << ASI while at T >= ASI the coherence is destroyed and the relaxation of \bf S is described by a stretched dependence which can be close to log t under certain conditions. Relevance to Mn-12 acetate is discussed.

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