Exchange couplings in the magnetic molecular cluster Mn12Ac

Details Exchange couplings in the magnetic molecular cluster Mn12Ac Exchange couplings in the magnetic molecular cluster Mn12Ac

2002-03-22

arxiv.org/abs/cond-mat/0203480v2

Phys. Rev. B 66, 054409 (2002).

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 6 figures, submitted to Phys Rev B, corrected a misTeX: values of J1, J2 have changed, refs updated

Scientific paper

10.1103/PhysRevB.66.054409

The magnetic properties of the molecular cluster Mn12Ac are due to the four Mn3+ ions which have spins S=3/2 and the eight Mn4+ ions with spins S=2. These spins are coupled by superexchange mechanism. We determine the four exchange couplings assuming a Heisenberg-type interaction between the ions. We use exact diagonalization of the spin Hamiltonian by a Lanczos algorithm and we adjust the couplings to reproduce the magnetization curve of Mn12Ac. We also impose the constraint of reproducing a gap of 35K between a S=10 ground state and a first excited state with S=9. We predict that there is an excited level with S=8 at 37K above the ground state, only slightly above the S=9 excited state which lies at 35K and the next excited state is a S=9 multiplet at 67K above the S=10 ground state.

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