TY - JOUR
T1 - Magnetic correlations on fractals
AU - Aharony, Amnon
AU - Gefen, Yuval
AU - Kantor, Yacov
PY - 1984/9
Y1 - 1984/9
N2 - The critical behavior of magnetic spin models on various fractal structures is reviewed, with emphasis on branching and nonbranching Koch curves and Sierpiriski gaskets and carpets. The spin correlation function is shown to have unusual exponential decays, e.g., of the form exp[-(r/gx)x], and to crossover to other forms at larger distances r. The various fractals are related to existing models for the backbone of the infinite incipient cluster at the percolation threshold, and conclusions are drawn regarding the behavior of spin correlations on these models.
AB - The critical behavior of magnetic spin models on various fractal structures is reviewed, with emphasis on branching and nonbranching Koch curves and Sierpiriski gaskets and carpets. The spin correlation function is shown to have unusual exponential decays, e.g., of the form exp[-(r/gx)x], and to crossover to other forms at larger distances r. The various fractals are related to existing models for the backbone of the infinite incipient cluster at the percolation threshold, and conclusions are drawn regarding the behavior of spin correlations on these models.
KW - Spin models
KW - fractals
KW - magnetic correlations
KW - percolation
KW - renormalization group
UR - http://www.scopus.com/inward/record.url?scp=0039443704&partnerID=8YFLogxK
U2 - 10.1007/BF01012939
DO - 10.1007/BF01012939
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AN - SCOPUS:0039443704
SN - 0022-4715
VL - 36
SP - 795
EP - 805
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 5-6
ER -