Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions

M. T. Batchelor*, C. M. Yung

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

53 Citations (Scopus)

Abstract

We derive the exact critical couplings (x*,ya*), where ya*/x*=1+2 =1.533, for the polymer adsorption transition on the honeycomb lattice, along with the universal critical exponents, from the Bethe ansatz solution of the On loop model at the special transition. Our result for the thermal scaling dimension, and thus the crossover exponent =12, is in agreement with an earlier result based on conformal invariance arguments. Our result for the geometric scaling dimensions confirms recent conjectures that they are given by h+1,3 in the Kac formula.

Original languageEnglish
Pages (from-to)2026-2029
Number of pages4
JournalPhysical Review Letters
Volume74
Issue number11
DOIs
Publication statusPublished - 1995

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