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Quantum-classical escape-rate transition has been studied for two generalforms of magnetic anisotropy in ferrimagnetic or antiferromagnetic particles.It is found that the range of the first-order transition is greatly reduced asthe system becomes ferrimagnetic and there is no first-order transition inalmost compensated antiferromagnetic particles. These features can be testedexperimentally in nanomagnets like molecular magnets.Comment: 11 pages, 3 figures, to appear in Europhys. Let

First- and second-order transitions of the escape rate in ferrimagnetic or antiferromagnetic particles