Magnetization of Mn_12 Ac in a slowly varying magnetic field: an ab initio study

Details Magnetization of Mn_12 Ac in a slowly varying magnetic field: an ab initio study Magnetization of Mn_12 Ac in a slowly varying magnetic field: an ab initio study

2000-08-09

arxiv.org/abs/cond-mat/0008144v1

Phys. Rev. B 64 (2001) 014408

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

LaTeX, 11 pages, 12 eps figures

Scientific paper

10.1103/PhysRevB.64.014408

Beginning with a Heisenberg spin Hamiltonian for the manganese ions in the Mn_12 Ac molecule, we find a number of low-energy states of the system. We use these states to solve the time-dependent Schrodinger equation and find the magnetization of the molecule in the presence of a slowly varying magnetic field. We study the effects of the field sweep rate, fourth order anisotropic spin interactions and a transverse field on the weights of the different states as well as the magnetization steps which are known to occur in the hysteresis plots in this system. We find that the fourth order term and a slow field sweep rate are crucial for obtaining prominent steps in magnetization in the hysteresis plots.

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