Department of Physics Papers

Document Type

Journal Article

Date of this Version

12-25-1989

Publication Source

Physical Review Letters

Volume

63

Issue

26

Start Page

2819

Last Page

2822

DOI

10.1103/PhysRevLett.63.2819

Abstract

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.

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Date Posted: 12 August 2015

This document has been peer reviewed.