Springer LINK: The European Physical Journal B - Abstract Volume 5 Issue 3 (1998) pp 745-750

The European Physical Journal B

ISSN: 1434-6028 (printed version)
ISSN: 1434-6036 (electronic version)

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Abstract Volume 5 Issue 3 (1998) pp 745-750

Quadrupolar order in the $\mathsf{S=2}$ Heisenberg ferromagnet with the single-ion cubic anisotropy

M. Dudzinski, J. Sznajd

Institute for Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 937, 50-950 Wroclaw 2, Poland

Received: 19 February 1998 / Accepted: 17 March 1998

Abstract: The ground state properties of S=2 ferromagnets with isotropic Heisenberg exchange (J) and single-ion cubic anisotropy (D) are studied. The perturbation theory for $J/D \ll 1$ is used to find an effective Hamiltonian up to the fourth order for 1, 2 and 3 dimensions. It is shown that in opposition to the MFA prediction there is the quadrupolar long range order at T = 0 in the non-magnetic state of the system without a quadrupolar type of interaction. The effect is a consequence of the quantum nature of the model.

PACS. 75.10.Dg Crystal-field theory and spin Hamiltonians - 75.10.Jm Quantized spin models - 75.30.Gw Magnetic anisotropy

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