The monopole-dimer model on Cartesian products of plane graphs

DOI10.5070/C63362786OpenAlexW4390104267MaRDI QIDQ6204676

Anita Arora, Arvind Ayyer

Publication date: 2 April 2024

Published in: Combinatorial Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5070/c63362786

zbMATH Keywords

bipartitepartition functionfree energyCartesian productsdeterminantal formulagrid graphscycle decompositionKasteleyn orientationmonopole-dimer model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

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• A statistical model of current loops and magnetic monopoles
• Squareness for the monopole-dimer model
• The statistics of dimers on a lattice
• Statistical Mechanics of Dimers on a Plane Lattice
• Dimer problem in statistical mechanics-an exact result
• A Lower Bound for the Monomer-Dimer Problem

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