11 citations · 26 across the 4 of their papers we have counts for
4 papers
Derivation of field theory for the classical dimer model using bosonization
Neil Wilkins, Stephen Powell
We derive a field theory for the two-dimensional classical dimer model by applying bosonization to Lieb's (fermionic) transfer-matrix solution. Our constructive approach gives resu…
Topological sectors, dimer correlations and monomers from the transfer-matrix solution of the dimer model
Neil Wilkins, Stephen Powell
We solve the classical square-lattice dimer model with periodic boundaries and in the presence of a field that couples to the (vector) flux, by diagonalizing a mod…
Interacting double dimer model on the square lattice
Neil Wilkins, Stephen Powell
We study phases and transitions of the square-lattice double dimer model, consisting of two coupled replicas of the classical dimer model. As on the cubic lattice, we find a therma…
Synchronization transition in the double dimer model on the cubic lattice
Neil Wilkins, Stephen Powell
We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte…