Exact solutions and infinite-order phase transitions for a general class of Ising models on the regularized Apollonian network

DOI10.1088/1742-5468/2014/01/P01010zbMath1456.82186OpenAlexW2040742145MaRDI QIDQ3301720

Maurizio Serva, U. L. Fulco, Éder Lima Albuquerque

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/10.1088/1742-5468/2014/01/p01010

Mathematics Subject Classification ID

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

Related Items (3)

Consensus formation on Apollonian networks ⋮ Exactly solvable tight-binding model on the RAN: fractal energy spectrum and Bose–Einstein condensation ⋮ Spanning forests in regular planar maps

Cites Work

• Asymptotics of the susceptibility for the Ising model on the hierarchical lattices
• Infinite-order phase transition in a classical spin system
• Critical properties of the SIS model dynamics on the Apollonian network
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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