Exact Results for Hamiltonian Walks from the Solution of the Fully Packed Loop Model on the Honeycomb Lattice

DOI10.1103/PhysRevLett.73.2646zbMath1020.82543arXivcond-mat/9408083WikidataQ54295186 ScholiaQ54295186MaRDI QIDQ4492202

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Publication date: 16 July 2000

Published in: Physical Review Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9408083

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

Three-point functions in the fully packed loop model on the honeycomb lattice ⋮ Kac-Moody symmetries of critical ground states ⋮ Hamiltonian cycles on bicolored random planar maps ⋮ Exponents for Hamiltonian paths on random bicubic maps and KPZ ⋮ Geometric exponents of dilute loop models ⋮ Worm Monte Carlo study of the honeycomb-lattice loop model ⋮ Transfer matrices and partition-function zeros for antiferromagnetic Potts models. IV. Chromatic polynomial with cyclic boundary conditions ⋮ Conformal Field Theory Applied to Loop Models ⋮ Hamiltonian cycles on a random three-coordinate lattice ⋮ Field theory of compact polymers on the square lattice ⋮ Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices ⋮ Hamiltonian cycles on random lattices of arbitrary genus ⋮ New two-color dimer models with critical ground states

Cites Work

• Operator content of two-dimensional conformally invariant theories
• Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.
• A new exactly solvable case of an O(n)-model on a hexagonal lattice
• Low-temperature 2D polymer partition function scaling: series analysis results
• Solvable lattice models labelled by Dynkin diagrams
• Unnamed Item

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