4 citations · 4 across the 2 of their papers we have counts for
6 papers
Spin-spin correlations in central rows of Ising models with holes
Helen Au-Yang, Jacques H. H. Perk
In our previous works on infinite horizontal Ising strips of width alternating with layers of strings of Ising chains of length , we found the surprising result that the spe…
Specific Heat of Ising Model with Holes: Mathematical Details Using Dimer Approaches
Helen Au-Yang, Jacques H. H. Perk
In this paper, we use the dimer method to obtain the free energy of Ising models consisting of repeated horizontal strips of width connected by sequences of vertical strings of…
Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity
Helen Au-Yang, Jacques H. H. Perk
At roots of unity the -state integrable chiral Potts model and the six-vertex model descend from each other with the model as the intermediate. We shall discuss how differ…
Ising Models with Holes: Crossover Behavior
Helen Au-Yang, Jacques H. H. Perk
In order to investigate the effects of connectivity and proximity in the specific heat, a special class of exactly solvable planar layered Ising models has been studied in the ther…
Parafermions in the tau-2 model II
Helen Au-Yang, Jacques H. H. Perk
Many years ago Baxter introduced an inhomogeneous two-dimensional classical spin model, now called the model with free boundary conditions, and he specialized the resultin…
Serre Relations in the Superintegrable Model
Helen Au-Yang, Jacques H. H. Perk
We derive the Serre relations for the generators of the quantum loop algebra L(sl_2) of the superintegrable tau_2 model in Q not 0 sectors, thus proving a fundamental conjecture in…