Quadrupolar spin phases in the presence of biquadratic exchange
- 14 July 1976
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 9 (13) , 2611-2618
- https://doi.org/10.1088/0022-3719/9/13/020
Abstract
A generalized mean field approximation is used to find sufficient conditions for the existence of stable quadrupole phases in spin systems with atomic spin s and described by isotropic nearest-neighbour bilinear and biquadratic exchange. Quadrupolar phases are defined as having thermal averages such that (si.ii)0=0 while ((si.ui)2)0 has a value different than its paramagnetic value, ui is a unit vector at site i in the direction of the local mean field. By determining the ui variationally, phases not previously discussed are found.Keywords
This publication has 7 references indexed in Scilit:
- Dipole and Quadrupole Phase Transitions in Spin-1 ModelsPhysical Review B, 1973
- Uniaxial and Biaxial Quadrupolar Ordering in Magnetic Crystals: Molecular-Field TheoryPhysical Review B, 1973
- Variational Methods in Statistical MechanicsAdvances in Chemical Physics, 1973
- Spin-One Heisenberg Ferromagnet in the Presence of Biquadratic ExchangePhysical Review B, 1972
- Soluble Model of Interacting Classical Quadrupoles in One DimensionPhysical Review B, 1972
- Exact Solution for a Closed Chain of Classical Spins with Arbitrary, Isotropic Nearest-Neighbor ExchangePhysical Review Letters, 1971
- Biquadratic Exchange and Quadrupolar OrderingJournal of Applied Physics, 1969