O(n) model on the honeycomb lattice via reflection matrices: Surface critical behaviour |
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| Institution: | 1. CERN, Theory Group, Geneva, Switzerland;2. Laboratoire de Physique Théorique de l''École Normale Supérieure (LPTENS), Paris, France;3. Faculté de Physique, Université Pierre et Marie Curie (UPMC), Paris, France;4. Institute of Physics, Universiteit van Amsterdam, Amsterdam, The Netherlands;1. Department of Chemical System Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, 113-8656, Japan;2. Institute of Multidisciplinary Research for Advanced Materials, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai, 980-8577, Japan;3. Graduate School of Engineering, Tohoku University, 6-6-04 Aramaki, Aoba-ku, Sendai, 980-8579, Japan |
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| Abstract: | 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. |
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