A corner transfer matrix renormalisation group investigation of the vertex-interacting self-avoiding walk model

Details A corner transfer matrix renormalisation group investigation of the vertex-interacting self-avoiding walk model A corner transfer matrix renormalisation group investigation of the vertex-interacting self-avoiding walk model

2003-08-20

arxiv.org/abs/cond-mat/0308403v1

Physics

Condensed Matter

Statistical Mechanics

accepted in J Phys A. 27 pagesand 15 figures

Scientific paper

A recently introduced extension of the Corner Transfer Matrix Renormalisation Group (CTMRG) method useful for the study of self-avoiding walk type models is presented in detail and applied to a class of interacting self-avoiding walks due to Bl\"ote and Nienhuis. This model displays two different types of collapse transition depending on model parameters. One is the standard $\theta$-point transition. The other is found to give rise to a first-order collapse transition despite being known to be in other respects critical.

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