547 citations · 2.8k across the 92 of their papers we have counts for
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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…
Exact Results for the Adsorption of a Flexible Self-Avoiding Polymer Chain in Two Dimensions
M. T. Batchelor, C. M. Yung
We derive the exact critical couplings (), where , for the polymer adsorption transition on the honeycomb latti…
Integrable su(2)-invariant spin chains and the Haldane conjecture
M. T. Batchelor, C. M. Yung
We perform a systematic exact algebraic search for integrable spin-S chains which are isotropic in spin space, i.e. are su(2)-invariant. The families of spin chains found for S < 1…