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114,247
Combinatorics of the Dimer Model on a Strip
, 2007
"... In this note, we give a closed formula for the partition function of the dimer model living on a 2 × n strip of squares or hexagons on the torus for arbitrary even n. The result is derived in two ways, by using a Potts model like description for the dimers, and via a recursion relation that was obta ..."
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In this note, we give a closed formula for the partition function of the dimer model living on a 2 × n strip of squares or hexagons on the torus for arbitrary even n. The result is derived in two ways, by using a Potts model like description for the dimers, and via a recursion relation
Columnar Phase in Quantum Dimer Models
, 2015
"... The quantum dimer model, relevant for shortrange resonant valence bond physics, is rigorously shown to have long range order in a crystalline phase in the attractive case at low temperature and not too large flipping term. This term flips horizontal dimer pairs to vertical pairs (and vice versa) a ..."
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The quantum dimer model, relevant for shortrange resonant valence bond physics, is rigorously shown to have long range order in a crystalline phase in the attractive case at low temperature and not too large flipping term. This term flips horizontal dimer pairs to vertical pairs (and vice versa
Partition function of periodic isoradial dimer models
, 2006
"... Isoradial dimer models were introduced in [12] they consist of dimer models whose underlying graph satisfies a simple geometric condition, and whose weight function is chosen accordingly. In this paper, we prove a conjecture of [12], namely that for periodic isoradial dimer models, the growth rate ..."
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Isoradial dimer models were introduced in [12] they consist of dimer models whose underlying graph satisfies a simple geometric condition, and whose weight function is chosen accordingly. In this paper, we prove a conjecture of [12], namely that for periodic isoradial dimer models, the growth rate
Dimer models and the special McKay correspondence
"... study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2torus encoding the information of a quiver with relations. If a dimer model is nondegenerate, then the moduli space Mθ of stable representations of ..."
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Cited by 20 (5 self)
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study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2torus encoding the information of a quiver with relations. If a dimer model is nondegenerate, then the moduli space Mθ of stable representations of
Conformal invariance of loops in the doubledimer model
, 2012
"... The dimer model is the study of random dimer covers (perfect matchings) of a graph. A doubledimer configuration on a graph G is a union of two dimer covers of G. We introduce quaternion weights in the dimer model and show how they can be used to study the homotopy classes (relative to a fixed set o ..."
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Cited by 11 (1 self)
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The dimer model is the study of random dimer covers (perfect matchings) of a graph. A doubledimer configuration on a graph G is a union of two dimer covers of G. We introduce quaternion weights in the dimer model and show how they can be used to study the homotopy classes (relative to a fixed set
ASYMPTOTICS OF HEIGHT CHANGE ON TOROIDAL TEMPERLEYAN DIMER MODELS
"... Abstract. The dimer model is an exactly solvable model of planar statistical mechanics. In its critical phase, various aspects of its scaling limit are known to be described by the Gaussian free field. For periodic graphs, criticality is a condition on the spectral curve of the model, determined by ..."
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Abstract. The dimer model is an exactly solvable model of planar statistical mechanics. In its critical phase, various aspects of its scaling limit are known to be described by the Gaussian free field. For periodic graphs, criticality is a condition on the spectral curve of the model, determined
LOOP STATISTICS IN THE TOROIDAL HONEYCOMB DIMER MODEL
, 2009
"... The dimer model on a graph embedded in the torus can be interpreted as a collection of random selfavoiding loops. In this paper, we consider the uniform toroidal honeycomb dimer model. We prove that when the mesh of the graph tends to zero and the aspect of the torus is fixed, the winding number of ..."
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Cited by 8 (0 self)
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The dimer model on a graph embedded in the torus can be interpreted as a collection of random selfavoiding loops. In this paper, we consider the uniform toroidal honeycomb dimer model. We prove that when the mesh of the graph tends to zero and the aspect of the torus is fixed, the winding number
Results 11  20
of
114,247