Approximating the Ising model on fractal lattices of dimension less than two

DOI10.1088/1742-5468/2015/11/P11008zbMath1456.82104arXiv1505.02699MaRDI QIDQ3302141

Vincent Drach, Ari Hietanen, Alessandro Codello

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://arxiv.org/abs/1505.02699

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Fractals (28A80)

Cites Work

• Critical phenomena in continuous dimension
• Ising models on the lattice Sierpiński gasket.
• ABSENCE OF SPONTANEOUS MAGNETIZATION FOR THE ISING MODEL ON WEAKLY SEPARABLE GRAPHS
• Scaling solutions in a continuous dimension
• Existence of phase transition of percolation on Sierpiński carpet lattices
• Exact Curie temperature for the Ising model on Archimedean and Laves lattices
• Critical exponents of theN-vector model
• The spherical model on graphs
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Spontaneous magnetization of the Ising model on the Sierpinski carpet fractal, a rigorous result
• Lee-Yang zeros and the Ising model on the Sierpinski gasket
• Beitrag zur Theorie des Ferromagnetismus
• Combinatorial Aspects of the Ising Model for Ferromagnetism. I. A Conjecture of Feynman on Paths and Graphs
• Statistics of the Two-Dimensional Ferromagnet. Part I
• A Combinatorial Solution of the Two-Dimensional Ising Model
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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