Vertex models and random labyrinths: phase diagrams for ice-type vertex models

DOI10.1088/1742-5468/2005/07/P07006zbMath1456.82188arXivcond-mat/0402615OpenAlexW3100546917MaRDI QIDQ4968864

Kirill Shtengel, L. P. Chayes

Publication date: 9 July 2019

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0402615

zbMATH Keywords

integrable spin chains (vertex models)loop models and polymersphase diagrams (theory)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Recurrence properties of Lorentz lattice gas cellular automata
• Scaling of particle trajectories on a lattice
• Geometric aspects of quantum spin states
• Intersecting loop models on \({\mathbb Z}^ d\): rigorous results.
• Topological order and conformal quantum critical points
• Dense Loops, Supersymmetry, and Goldstone Phases in Two Dimensions
• Lattice Models of Polymers
• Intersecting Loop Model as a Solvable Super Spin Chain
• Proof of the first order phase transition in the Slater KDP model
• Unnamed Item
• Unnamed Item

This page was built for publication: Vertex models and random labyrinths: phase diagrams for ice-type vertex models