TY - JOUR
T1 - Exact results for the adsorption of a flexible self-avoiding polymer chain in two dimensions
AU - Batchelor, M. T.
AU - Yung, C. M.
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000657886&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.74.2026
DO - 10.1103/PhysRevLett.74.2026
M3 - Article
AN - SCOPUS:0000657886
SN - 0031-9007
VL - 74
SP - 2026
EP - 2029
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
ER -