Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice

Abstract

The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using DMRG and coupled with finite-size scaling. Particular attention is paid to the critical exponents at the ordinary and special points along the collapse transition line. The question of the bulk exponents ($\nu$ and $\gamma$) is addressed, and the results found are at variance with previously conjectured exact values.

accepted for publication in J Phys A. arXiv admin note: substantial text overlap with arXiv:1007.0218

References in corpus (3)

• Universality of collapsing two-dimensional self-avoiding trails
• Corner transfer matrix renormalization group method for two-dimensional self-avoiding walks and other O(n) models
• Surface critical behaviour of the Interacting Self-Avoiding Trail on the square lattice

Cited by in corpus (4)

• Critical Behaviour of Magnetic Polymers in Two and Three Dimensions
• Numerical simulation of a lattice polymer model at its integrable point
• Polymer models with competing collapse interactions on Husimi and Bethe lattices
• Collapse transition in polymer models with multiple monomers per site and multiple bonds per edge