1211.0295 (Damien P. Foster et al.)

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

Damien P. Foster, Claire Pinettes

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.

View original: http://arxiv.org/abs/1211.0295