Blume-Emery-Griffiths model on the square lattice with repulsive biquadratic coupling
arXiv:cond-mat/9611159 · doi:10.1016/0378-4371(96)00143-4
Abstract
Using a real-space renormalization group procedure with no adjustable parameters, we investigate the Blume-Emery-Griffiths model on the square lattice. The formalism respects sublattice symmetry, allowing the study of both signs of K, the biquadratic exchange coupling. Our results for K>0 are compared with other renormalization group calculations and with exact results, in order to assess the magnitude of the errors introduced by our approximate calculation. The quantitative agreement is excellent; values for critical parameters differ, in some cases, by less than 1% from exact ones. For K<0, our results lead to a rich phase diagram, with antiquadrupolar and ferromagnetic ordered phases. Contrarily to Monte Carlo simulations, these two phases meet only at zero temperature. Both antiquadrupolar-disordered and ferromagnetic-disordered transitions are found to be continuous and no ferrimagnetic phase is found.
arXiv comment14 pages, plain latex, 5 figures available upon request to [email protected]
Cited by in corpus (6)
- Real-Space Renormalization Group Study of the Two-dimensional Blume-Capel Model with a Random Crystal Field
- Schelling segregation in an open city: a kinetically constrained Blume-Emery-Griffiths spin-1 system
- Phase diagram of the repulsive Blume-Emery-Griffiths model in the presence of external magnetic field on a complete graph
- Uniqueness of the Gibbs state of the BEG model in the disordered region of parameters
- The Blume-Emery-Griffiths model at the FAD and AD interfaces
- Mean Field Critical Behaviour for a Fully Frustrated Blume-Emmery-Griffiths Model