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VOLUME 46 (1987) | ISSUE 2 | PAGE 65
State density of fractal structures with a long-range interaction
The example of a triangular Serpinskii carpet with an r ~~13 interaction between nodes is used to show that for values of β above a critical value Pc the state density is determined by a universal exponent (the spectral dimensionality), as in the case of a short-range interaction. Athowever, the exponent depends on β. This exponent is found through an e expansion around β€.