33 citations · 84 across the 5 of their papers we have counts for
5 papers
Eigenvalue amplitudes of the Potts model on a torus
Jean-Francois Richard, Jesper Lykke Jacobsen
We consider the Q-state Potts model in the random-cluster formulation, defined on finite two-dimensional lattices of size L x N with toroidal boundary conditions. Due to the non-lo…
Character decomposition of Potts model partition functions. I. Cyclic geometry
Jean-Francois Richard, Jesper Lykke Jacobsen
We study the Potts model (defined geometrically in the cluster picture) on finite two-dimensional lattices of size L x N, with boundary conditions that are free in the L-direction…
Character decomposition of Potts model partition functions. II. Toroidal geometry
Jean-Francois Richard, Jesper Lykke Jacobsen
We extend our combinatorial approach of decomposing the partition function of the Potts model on finite two-dimensional lattices of size L x N to the case of toroidal boundary cond…
Relations between Potts and RSOS models on a torus
Jean-Francois Richard, Jesper Lykke Jacobsen
We study the relationship between Q-state Potts models and staggered RSOS models of the A\_{p-1} type on a torus, with sqrt(Q)=2 cos(pi / p). In general the partition functions of…
Selfduality for coupled Potts models on the triangular lattice
Jean-Francois Richard, Jesper Lykke Jacobsen, Marco Picco
We present selfdual manifolds for coupled Potts models on the triangular lattice. We exploit two different techniques: duality followed by decimation, and mapping to a related loop…