The tunneling behaviors of the Neel vector in a small single-domain an
tiferromagnetic particle out of metastable easy directions or between
degenerate easy directions are studied based on the two sublattices mo
del and the instanton method. The previously known Wentzel-Kramers-Bri
llouin (WKB) exponents for the tunneling rates are supplemented by cal
culations of the prefactors, for one example of macroscopic quantum tu
nneling and two examples of macroscopic quantum coherence. The formali
sm for evaluating both the WKB exponent and the fluctuation determinan
t is developed in a spin-coherent-state path integral. The topological
quenching or quantum interference effect is also discussed for each c
ase. [S0163-1829(97)05238-7].