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arXiv · 1211.0295

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

Damien P. Foster·Claire Pinettes
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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.

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Damien P. Foster, Claire Pinettes. 2012-11-01. Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice. https://doi.org/10.1088/1751-8113/45/50/505003

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