547 citations · 2.8k across the 92 of their papers we have counts for
5 papers · 1 filter
An Ising model in a magnetic field with a boundary
Murray T. Batchelor, Vlad Fridkin, Yu-kui Zhou
We obtain the diagonal reflection matrices for a recently introduced family of dilute lattice models in which the model can be viewed as an Ising model in a…
Surface Critical Phenomena in Interaction-Round-a-Face Models
Yu-kui Zhou, Murray T. Batchelor
A general scheme has been proposed to study the critical behaviour of integrable interaction-round-a-face models with fixed boundary conditions. It has been shown that the boundary…
Surface critical behaviour of the honeycomb O(n) loop model with mixed ordinary and special boundary conditions
M T Batchelor, C M Yung
The O(n) loop model on the honeycomb lattice with mixed ordinary and special boundary conditions is solved exactly by means of the Bethe ansatz. The calculation of the dominant fin…
Integrable O(n) model on the honeycomb lattice via reflection matrices : Surface critical behaviour
C. M. Yung, M. T. Batchelor
We study the loop model on the honeycomb lattice with open boundary conditions. Reflection matrices for the underlying Izergin-Korepin -matrix lead to three inequivalent…
Exact solution for the spin- XXZ quantum chain with non-diagonal twists
C. M. Yung, M. T. Batchelor
We study integrable vertex models and quantum spin chains with toroidal boundary conditions. An interesting class of such boundaries is associated with non-diagonal twist matrices.…