215 citations · 1.9k across the 71 of their papers we have counts for
71 papers
Critical site percolation on the triangular lattice: From integrability to conformal partition functions
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
Critical site percolation on the triangular lattice is described by the Yang-Baxter solvable dilute loop model with crossing parameter specialized to , cor…
On the partition function of the integrable vertex model
G. A. P. Ribeiro, A. Klümper, P. A. Pearce
In this paper we investigate certain fusion relations associated to an integrable vertex model on the square lattice which is invariant under symmetry. We establish a set o…
Groundstate finite-size corrections and dilogarithm identities for the twisted , and models
Alexi Morin-Duchesne, Andreas Klümper, Paul A. Pearce
We consider the -systems satisfied by the , , vertex and loop models at roots of unity with twisted boundary conditions on the cylinder. The ve…
Yang-Baxter Integrable Dimers on a Strip
Paul A. Pearce, Jørgen Rasmussen, Alessandra Vittorini-Orgeas
The dimer model on a strip is considered as a Yang-Baxter \mbox{integrable} six vertex model at the free-fermion point with crossing parameter and quantum group inva…
Fusion hierarchies, -systems and -systems for the dilute loop models
Alexi Morin-Duchesne, Paul A. Pearce
The fusion hierarchy, -system and -system of functional equations are the key to integrability for 2d lattice models. We derive these equations for the generic dilute $A_2^{(…
Extended T-systems, Q matrices and T-Q relations for models at roots of unity
Holger Frahm, Alexi Morin-Duchesne, Paul A. Pearce
The mutually commuting fused single and double-row transfer matrices of the critical six-vertex model are considered at roots of unity with crossing paramete…