Ising model on a self-avoiding walk
- 11 May 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (7), L373-L376
- https://doi.org/10.1088/0305-4470/18/7/008
Abstract
Fluctuation arguments combined with basic features of the geometry of self-avoiding walks (SAWs) are shown to lead to zero transition temperature Tc for the Ising model on a SAW. The Ising model on a non-random fractal representing the essential geometrical features of SAWs is treated exactly by a decimation method. It also leads to Tc=0, and to Ising SAW critical behavior different from that on an Ising chain.Keywords
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