Geometric frustration effects in the spin-1 antiferromagnetic Ising model on the kagome-like recursive lattice: exact results

DOI10.1088/1742-5468/2016/09/093207zbMath1457.82079OpenAlexW2521883910MaRDI QIDQ3302814

E. Jurčišinová, M. Jurčišin

Publication date: 11 August 2020

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

Full work available at URL: https://doi.org/10.1088/1742-5468/2016/09/093207

Mathematics Subject Classification ID

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

Related Items (6)

Influence of multisite interaction on thermodynamics and ground-state degeneracies of frustrated magnetic systems with pyrochlore structure: an exact theoretical analysis ⋮ Evidence for the ferromagnetic frustration in a classical spin-\(1/2\) system with multisite interaction in external magnetic field: exact results ⋮ Antiferromagnetic geometric frustration under the influence of the next-nearest-neighbor interaction. An exactly solvable model ⋮ Relevance of recursive lattice approximations for description of frustrated magnetic systems: star Kagome-like recursive lattice approximation ⋮ Isothermal entropy change for the spin-1 Blume-Capel model on the Bethe lattice ⋮ Binary lattice-gases of particles with soft exclusion: exact phase diagrams for tree-like lattices

Cites Work

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• The Ising model on pure Husimi lattices: a general formulation and the critical temperatures
• The anti-ferromagnetic Ising model on the simplest pure Husimi lattice: an exact solution
• The first order phase transitions in the multisite spin-\(1 / 2\) model on a pure Husimi lattice
• A note on cactus trees: variational vs. recursive approach
• The exact solution of the anti-ferromagnetic Ising model with multisite interaction on the simplest pure husimi lattice
• Single-point ground states and residual entropies in the antiferromagnetic Ising model with multisite interaction on the tetrahedral chain: exact results
• Antiferromagnetism. The Triangular Ising Net
• First order phase transitions in the antiferromagnetic Ising model on a pure Husimi lattice

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