Physics NotePublished
Criticality of the bond-diluted Ising ferromagnet in a semi-infinite simple cubic lattice
L. R. Silva; C. Tsallis; E. F. Sarmento
1987
Publication details
- Authors
- L. R. Silva; C. Tsallis; E. F. Sarmento
- Type
- Physics Note
- Status
- Published
- Publication date
- 1987
- Description
- We study the phase diagram and universality classes of the quenched bond-diluted spin 1/2 Ising ferromagnet in a semiinfinite simple cubic lattice with a (0,0,1) free surface. The approach (herein formulated for arbitrary values of the number of states q of the Potts model) is a real space renormalization group which preserves two-spin correlation functions and uses clusters which have already proved to be very appropriate for the present structure. We observe that surface ferromagnetism persists below the d=2 percolation threshold <math>p^{2D}_c=1/2\,\!</math>, in fact down to <math>p_c = 0. 42\,\!</math>. In addition to that we check that a conjectural extension of the Kasteleyn and Fortuin theorem is satisfied in the present particular case.
- Year
- 1987
- Number
- CBPF-NF-064/87
- Linked to a thesis
- No
- Linked to a grant
- No