Polynomial degeneracy for the first \(m\) energy levels of the antiferromagnetic Ising model

DOI10.4171/AIHPD/101zbMath1467.82016OpenAlexW3133785503MaRDI QIDQ2031487

Andrea Jiménez

Publication date: 9 June 2021

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/aihpd/101

zbMATH Keywords

triangulationsgeometrical frustrationantiferromagnetic Ising modelground state degeneracylow energy level

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

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• Antiferromagnetic Ising model in triangulations with applications to counting perfect matchings
• Perfect matchings in planar cubic graphs
• Frustrated Spin Systems
• The Geometry of Dynamical Triangulations

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