Non-degenerated ground states and low-degenerated excited states in the antiferromagnetic Ising model on triangulations

DOI10.1007/s00220-013-1840-9zbMath1285.82012OpenAlexW2062903508MaRDI QIDQ2439698

Andrea Jiménez

Publication date: 17 March 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-013-1840-9

zbMATH Keywords

triangulationantiferromagnetic Ising model

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

Polynomial degeneracy for the first \(m\) energy levels of the antiferromagnetic Ising model ⋮ A class of generalized Tribonacci sequences applied to counting problems

Cites Work

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• Exponentially many perfect matchings in cubic graphs
• All orientable 2-manifolds have finitely many minimal triangulations
• Towards a theory of frustrated degeneracy.
• Reducible configurations for the cycle double cover conjecture
• Perfect matchings in planar cubic graphs
• Counting perfect matchings in the geometric dual
• The critical exponents of the two-dimensional Ising spin glass revisited: exact ground-state calculations and Monte Carlo simulations

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