Corner-transfer-matrix renormalization-group method for two-dimensional self-avoiding walks and other O(n) models.
We present an extension of the corner-transfer-matrix renormalization-group (CTMRG) method to O(n) invariant models, with particular interest in the self-avoiding walk class of models [O(n=0)]. The method is illustrated using an interacting self-avoiding walk model. Based on the efficiency and versatility, when compared to other available numerical methods, we present the CTMRG as the method of choice for two-dimensional self-avoiding walk problems.
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Laboratoire de Physique Théorique et Modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, 5 mail Gay Lussac, 95035 Cergy-Pontoise cedex, France.
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