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First- and Second-Order Transitions between Quantum and Classical Regimes for the Escape Rate of a Spin System

E. M. Chudnovsky, D. A. Garanin

cond-mat.stat-mecharXiv:cond-mat/9805060

Abstract

We have found a novel feature of the bistable large-spin model described by the Hamiltonian H = -DSz2 - HxSx.The crossover from thermal to quantum regime for the escape rate can be either first (Hx<SD/2) or second (SD/2<Hx<2SD) order, that is, sharp or smooth, depending on the strength of the transverse field. This prediction can be tested experimentally in molecular magnets like Mn12Ac.

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