TY - JOUR
T1 - O(n) model on the honeycomb lattice via reflection matrices
T2 - Surface critical behaviour
AU - Yung, C. M.
AU - Batchelor, M. T.
PY - 1995/10/30
Y1 - 1995/10/30
N2 - We study the O(n) loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin R-matrix lead to three inequivalent sets of integrable boundary weights. One set, which has previously been considered, gives rise to the ordinary surface transition. The other two sets correspond respectively to the special surface transition and the mixed ordinary-special transition. We analyse the Bethe ansatz equations derived for these integrable cases and obtain the surface energies together with the central charges and scaling dimensions characterizing the corresponding phase transitions.
AB - We study the O(n) loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin R-matrix lead to three inequivalent sets of integrable boundary weights. One set, which has previously been considered, gives rise to the ordinary surface transition. The other two sets correspond respectively to the special surface transition and the mixed ordinary-special transition. We analyse the Bethe ansatz equations derived for these integrable cases and obtain the surface energies together with the central charges and scaling dimensions characterizing the corresponding phase transitions.
UR - http://www.scopus.com/inward/record.url?scp=0001250248&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(95)00355-V
DO - 10.1016/0550-3213(95)00355-V
M3 - Article
AN - SCOPUS:0001250248
SN - 0550-3213
VL - 453
SP - 552
EP - 580
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 3
ER -