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

摘要

A recently introduced extension of the corner transfer matrix renormalization group 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 Blote 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. [References: 47]