BOND PERCOLATION IN + -J ISING SQUARE LATTICES DILUTED BY FRUSTRATION/

Citation
Ee. Vogel et al., BOND PERCOLATION IN + -J ISING SQUARE LATTICES DILUTED BY FRUSTRATION/, Physical review. B, Condensed matter, 58(13), 1998, pp. 8475-8480
Citations number
26
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
58
Issue
13
Year of publication
1998
Pages
8475 - 8480
Database
ISI
SICI code
0163-1829(1998)58:13<8475:BPI+-I>2.0.ZU;2-A
Abstract
+/-J Ising lattices are exactly solved, finding all ground states. Eac h original lattice leads to a correlated diluted lattice when all bond s that frustrate in any of the ground states are removed. Correlation appears in the problem when it is found that diluted lattices generate d in this way present regions of unfrustrated bonds complemented by re gions of frustrated (removed) bonds. The spectral distribution of size s for unfrustrated regions is not trivial, presenting strong modulatio ns. Here, we characterize such distribution for lattices between 16 an d 64 spins, comparing with the monotonic distribution obtained for ran domly generated diluted lattices. We deal with results for at least 50 0 samples in each size. About 2/3 of the samples percolate independent ly of lattice size; percolation threshold was estimated at 0.41 for th ese correlated diluted lattices. Most of the samples possess a large u nfrustrated region containing about 40% of the bonds, where all spins remain fixed in any of two states with opposite spin orientations. Suc h a robust way of breaking ergodicity leads to high values in the site order parameters, which implies partial or local spin-glass behavior.