Single-ion anisotropy in a four-spin system: mixing of S-states

• Authors: Wojciech Florek , Katarzyna Jaśniewicz-Pacer , Leonard Kaliszan , Grzegorz Kamieniarz
• Languages of publication: EN

Abstracts

EN

A four-spin system with s=1 and the single-ion anisotropy, D∑ j [s jz ] 2 , is considered. When D≠0 the Hamiltonian of the system does not commute with S 2 and, therefore, S cannot be used as an additional label of energy levels. In this work we concentrate on the problem of mixing states with different total spins S. The Hamiltonian matrix is transformed to the symmetry-adapted basis (with subspaces labeled by the irreducible representations of the symmetry group) and next, after solving the eigenproblem for S 2, to the basis with vectors labeled by S. Each eigenproblem is solved exactly (at least numerically) and the eigenstates are expressed as ∑S a S ¦S〉. The coefficients aS are analyzed, especially for their D-dependence. Even in such a small system different schemes of level mixing can be observed. [...]

Keywords

EN

Magnetic molecules; Anisotropy; Heisenberg Hamiltonian; Level mixing

• Publisher: De Gruyter Open
• Journal: Open Chemistry
• Year: 2009
• Volume: 7
• Issue: 2
• Pages: 211-214

Dates

published

1 - 6 - 2009

online

9 - 4 - 2009

Contributors

author

Wojciech Florek

• Faculty of Physics, Adam Mickiewicz University, 61-614, Poznan, Poland

author

Katarzyna Jaśniewicz-Pacer

• Faculty of Physics, Adam Mickiewicz University, 61-614, Poznan, Poland

author

Leonard Kaliszan

• Faculty of Physics, Adam Mickiewicz University, 61-614, Poznan, Poland

author

Grzegorz Kamieniarz

• Faculty of Physics, Adam Mickiewicz University, 61-614, Poznan, Poland

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Identifiers

DOI

10.2478/s11532-008-0103-7