D. P. Foster, C. Pinettes
Published 2002-10-24, updated 2003-03-12Version 2
We present an extension of the corner transfer matrix renormalisation 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 CTMRG as the method of choice for two-dimensional self-avoiding walk problems.
Comments: 4 pages 7 figures Substantial rewrite of previous version to include calculations of critical points and exponents. Final version accepted for publication in PRE (Rapid Communications)
Corner Transfer Matrix Renormalization Group Method Applied to the Ising Model on the Hyperbolic Plane
Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method
Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'
