Basins of attraction for renormalization-group trajectories arising in a spin-1 Ising model with competing biquadratic interactions.
The current investigation probes frustration that arises in a Blume-Emery-Griffiths system due to competing biquadratic (+/-K) interactions while uniform bilinear and crystal-field interactions are maintained. This competition directly affects the clustering and density of nonmagnetic impurities. All calculations have been conducted using a hierarchical lattice in conjunction with renormalization-group methods. Phase diagrams have been calculated for a series of planes of constant biquadratic coupling while varying the temperature and concentration of annealed vacancies in the system. Each phase diagram reveals three qualitatively unique basins of attraction, each sharing renormalization-group trajectories that flow to common sinks.
Snowman
Daniel P
DP
Department of Physical Sciences, Rhode Island College, Providence, Rhode Island 02908, USA. Dsnowman@ric.edu