Date of this Version
Physical Review Letters
It is shown that, contrary to recent suggestions, the exponent ν, characterizing self-avoiding walks in a diluted lattice at the percolation threshold is determined by a fixed point, different from the pure-lattice one. The full phase diagram of this system is obtained by a real-space renormalization-group treatment and five nontrivial fixed points are identified. A field-theoretical treatment yields ν=1/2+ε/42, with ε=6-d. All these results are supported by exact enumeration analysis.
Meir, Y., & Harris, A. (1989). Self-Avoiding Walks on Diluted Networks. Physical Review Letters, 63 (26), 2819-2822. http://dx.doi.org/10.1103/PhysRevLett.63.2819
Date Posted: 12 August 2015
This document has been peer reviewed.