期刊
PHYSICAL REVIEW E
卷 90, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.012112
关键词
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资金
- People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme FP7 [290038]
- NETADIS project
- Italian MIUR under the Basic Research Investigation Fund [RBFR08M3P4]
- European Research Council through ERC [247328]
- [2010HXAW77-008]
The Ising and Blume-Emery-Griffiths (BEG) models' critical behavior is analyzed in two dimensions and three dimensions by means of a renormalization group scheme on small clusters made of a few lattice cells. Different kinds of cells are proposed for both ordered and disordered model cases. In particular, cells preserving a possible antiferromagnetic ordering under renormalization allow for the determination of the Neel critical point and its scaling indices. These also provide more reliable estimates of the Curie fixed point than those obtained using cells preserving only the ferromagnetic ordering. In all studied dimensions, the present procedure does not yield a strong-disorder critical point corresponding to the transition to the spin-glass phase. This limitation is thoroughly analyzed and motivated.
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