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Quantum-classical escape rate transition has been studied for uniaxialantiferromagnetic particles with an arbitrarily directed magnetic field. In thecase that the transverse and longitudinal fileds coexist, we calculate thephase boundary line between first- and second-order transitions, from whichphase diagrams can be obtained. It is shown that the effects of the appliedlongitudinal magnetic field on quantum-classical transition vary greatly fordifferent relative magnitudes of the non-compensation.Comment: to be appeared in Phys. Rev.

Quantum-classical transition of the escape rate of uniaxial antiferromagnetic particles in an arbitrarily directed field