A Pfaffian formula for the Ising partition function of surface graphs

DOI10.1088/1742-5468/aba1e4zbMath1459.82055arXiv2003.02967OpenAlexW3102111822MaRDI QIDQ5856867

Anh Minh Pham

Publication date: 30 March 2021

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02967

zbMATH Keywords

Ising modelPfaffianexact results

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) 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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• Statistical Mechanics of Dimers on a Plane Lattice
• The two-dimensional Ising model and the Kac-Ward determinant
• Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs
• A Combinatorial Solution of the Two-Dimensional Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant

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