85 citations · 298 across the 10 of their papers we have counts for
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Fully packed loop models on finite geometries
Jan de Gier
Fully packed loop models describe the statistics of closely packed nested polygons on the square lattice. Many exact results can be obtained for these models, even for finite geome…
Exact expressions for correlations in the ground state of the dense O(1) loop model
S. Mitra, B. Nienhuis, J. de Gier +1
Conjectures for analytical expressions for correlations in the dense O loop model on semi infinite square lattices are given. We have obtained these results for four types of…
Nonequilibrium stationary states and equilibrium models with long range interactions
Richard Brak, Jan de Gier, Vladimir Rittenberg
It was recently suggested by Blythe and Evans that a properly defined steady state normalisation factor can be seen as a partition function of a fictitious statistical ensemble in…
Magnetization Plateaux in Bethe Ansatz Solvable Spin-S Ladders
M. Maslen, M. T. Batchelor, J. de Gier
We examine the properties of the Bethe Ansatz solvable two- and three-leg spin- ladders. These models include Heisenberg rung interactions of arbitrary strength and thus capture…
Critical Q=1 Potts Model and Temperley-Lieb Stochastic Processes
Paul A. Pearce, Vladimir Rittenberg, Jan de Gier
We consider the groundstate wave function and spectra of the -site XXZ invariant quantum spin chain with . This chain is related to the critical Q=…