Avoided Critical Behaviour in O(n) systems

Zohar Nussinov, Joespeh Rudnick, Steven Allan Kivelson +1 more

Uwe Krey

Damien Paul Foster

The surface critical behaviour of the interacting self-avoiding trail is examined using transfer matrix methods 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 phase diagram is also presented.

Uwe Claus Täuber, J.E. Santos, Zoltàn Ràcz

Damien Paul Foster, C. 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 ($ν$ and $γ$) is addressed, and the results found are at variance with previously conjectured exact values.

Bernard Nienhuis