Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
1999-01-28
Phys. Lett. A 253, 345(1999)
Physics
Condensed Matter
Soft Condensed Matter
14 pages, revtex, 5 postscript figures
Scientific paper
10.1016/S0375-9601(99)00044-4
The quantum-classical transitions of the escape rates in a uniaxial spin model relevant to the molecular magnet Mn$_{12}$Ac and a biaxial anisotropic ferromagnetic particle are investigated by applying the periodic instanton method. The effective free energies are expanded around the top of the potential barrier in analogy to Landau theory of phase transitions. We show that the first-order transitions occur below the critical external magnetic field $h_x = 1/4$ for the uniaxial spin model and beyond the critical anisotropy constant ratio $\lambda = 1/2$ for the biaxial ferromagnetic grains, which are in good agreement with earlier works.
Kou Su-Peng
Liang Jing-Qiu
Mueller-Kirsten Harald J. W.
Nie Yi-Hang
Pu Fu-Cho
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