15 papers
Fateev-Zamolodchikov and Kashiwara-Miwa models: boundary star-triangle relations and surface critical properties
Y. -K. Zhou
The boundary Boltzmann weights are found by solving the boundary star-triangle relations for the Fateev-Zamolodchikov and Kashiwara-Miwa models. We calculate the surface free energ…
Critical behaviour of the dilute O(n), Izergin-Korepin and dilute face models: Bulk properties
Y. -K. Zhou, M. -T. Batchelor
The analytic, nonlinear integral equation approach is used to calculate the finite-size corrections to the transfer matrix eigen-spectra of the critical dilute O(n) model on the sq…
Spin excitations in the integrable open quantum group invariant supersymmetric t-J model
Y. -K. Zhou, M. T. Batchelor
The integrable quantum group -invariant supersymmetric t-J model with open boundaries is studied via an analytic treatment of the Bethe equations. An feature is…
Fusion Hierarchies with Open Boundaries and Exactly Solvable Models
Y-K Zhou
The formulation of integrable models with open boundary conditions and the functional relations of fused transfer matrices are discussed. It is shown that finite-size corrections t…
Exact solution and surface critical behaviour of open cyclic SOS lattice models
Y K Zhou, M T Batchelor
We consider the -state cyclic solid-on-solid lattice models under a class of open boundary conditions. The integrable boundary face weights are obtained by solving the reflectio…
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…