critical exponents;
crystal field interactions;
ferromagnetism;
Ising model;
magnetic transitions;
renormalisation;
EMERY-GRIFFITHS MODEL;
RENORMALIZATION-GROUP;
SPIN-GLASS;
PHASE-TRANSITIONS;
DIAGRAMS;
SYSTEMS;
D O I:
10.1103/PhysRevE.79.041126
中图分类号:
O35 [流体力学];
O53 [等离子体物理学];
学科分类号:
070204 ;
080103 ;
080704 ;
摘要:
This investigation employs a hierarchical lattice and renormalization-group methodology to probe the effects of competing crystal-field interactions in a Blume-Capel Ising system. Several phase diagrams have been produced in temperature-crystal-field space as the strength of the competing crosslink crystal-field interactions is varied. Each sink has been interpreted and critical exponents have been calculated for the higher-order transitions.