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Electronic and Spin Structures of Polyoxometalate V 15 from a First‐Principles Non‐Collinear Molecular‐Magnetism Approach
Author(s) -
Maslyuk Volodymyr V.,
Mertig Ingrid,
Farberovich Oleg V.,
Tarantul Alex,
Tsukerblat Boris
Publication year - 2013
Publication title -
european journal of inorganic chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.667
H-Index - 136
eISSN - 1099-0682
pISSN - 1434-1948
DOI - 10.1002/ejic.201201202
Subject(s) - chemistry , magnetism , hamiltonian (control theory) , spin (aerodynamics) , density functional theory , antiferromagnetism , condensed matter physics , ground state , quantum mechanics , physics , computational chemistry , mathematical optimization , mathematics , thermodynamics
The results of first‐principles calculations of the electronic structure of a spin‐frustrated V 15 cluster with the use of a generalized density functional scheme that allows non‐collinear spin configurations are presented. By using the results of these calculations, it was possible to determine a Heisenberg–Dirac–Van Vleck (HDVV) Hamiltonian with 21 exchange coupling parameters that link the V ions with predominant spin density and the ligands that carry partially transferred spin density. The numerical procedure is based on a least‐squares fit of the results obtained by deviation of the direction of the magnetic moment on each atom around the energy minimum. The energy pattern was found from the effective HDVV Hamiltonian acting in the restricted spin space of the V ions by the application of the irreducible tensor operators (ITO) technique. Comparisons of the energy pattern with that obtained with the isotropic exchange models conventionally used for the analysis of this system and with the results of non‐collinear spin structure calculations show that our complex investigations provide a good description of the pattern of the spin levels and spin structures of the nanomagnetic V 15 cluster. The results are discussed in view of the general problem of spin frustration related to the orbital degeneracy of the antiferromagnetic ground state.