88 citations · 457 across the 12 of their papers we have counts for
12 papers
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.…
Exact solution and interfacial tension of the six-vertex model with anti-periodic boundary conditions
M. T. Batchelor, R. J. Baxter, M. J. O'Rourke +1
We consider the six-vertex model with anti-periodic boundary conditions across a finite strip. The row-to-row transfer matrix is diagonalised by the `commuting transfer matrices' m…
Diagonal -matrices and transfer matrix eigenspectra associated with the -matrix
C. M. Yung, M. T. Batchelor
We find all the diagonal -matrices for the -matrix associated with the minimal representation of the exceptional affine algebra . The corresponding transfer matric…
Temperley-Lieb Words as Valence-Bond Ground States
Peter F Arndt, Thomas Heinzel, C M Yung
Based on the Temperley--Lieb algebra we define a class of one-dimensional Hamiltonians with nearest and next-nearest neighbour interactions. Using the regular representation we giv…