TY - JOUR
T1 - Vibrational excitations in percolation
T2 - Localization and multifractality
AU - Bunde, Armin
AU - Roman, H. Eduardo
AU - Russ, Stefanie
AU - Aharony, Amnon
AU - Harris, A. Brooks
PY - 1992
Y1 - 1992
N2 - We discuss localized excitations on the incipient infinite percolation cluster. Assuming a simple exponential decay of the amplitudes ψi in terms of the chemical (minimal) path, we show theoretically that the ψ's are characterized by a logarithmically broad distribution, and display multifractal features as a function of the Euclidean distance. The moments of ψi exhibit novel crossover phenomena. Our numerical simulations of fractons exhibit a nontrivial distribution of localization lengths, even when the chemical distance is fixed. These results are explained via a generalization of the theory.
AB - We discuss localized excitations on the incipient infinite percolation cluster. Assuming a simple exponential decay of the amplitudes ψi in terms of the chemical (minimal) path, we show theoretically that the ψ's are characterized by a logarithmically broad distribution, and display multifractal features as a function of the Euclidean distance. The moments of ψi exhibit novel crossover phenomena. Our numerical simulations of fractons exhibit a nontrivial distribution of localization lengths, even when the chemical distance is fixed. These results are explained via a generalization of the theory.
UR - http://www.scopus.com/inward/record.url?scp=0001642392&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.69.3189
DO - 10.1103/PhysRevLett.69.3189
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AN - SCOPUS:0001642392
SN - 0031-9007
VL - 69
SP - 3189
EP - 3192
JO - Physical Review Letters
JF - Physical Review Letters
IS - 22
ER -