Zeros of the Potts model partition function on Sierpinski graphs

DOI10.1016/J.PHYSLETA.2013.01.017zbMath1428.82006arXiv1209.0020OpenAlexW1978918282MaRDI QIDQ2284016

Shu-Chiuan Chang, Robert Shrock

Publication date: 13 January 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0020

zbMATH Keywords

fractalsPotts modelSierpinski graphschromatic and Fisher zeros

Mathematics Subject Classification ID

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

Related Items (4)

Chromatic zeros on hierarchical lattices and equidistribution on parameter space ⋮ Tutte polynomial of scale-free networks ⋮ Exact solution of a classical short-range spin model with a phase transition in one dimension: the Potts model with invisible states ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs

Cites Work

• Stability and instability results in a model of Fermi acceleration
• Exact Potts model partition function on strips of the triangular lattice
• The Infinite-State Potts Model and Solid Partitions of an Integer
• ZEROS OF THE POTTS MODEL PARTITION FUNCTION IN THE LARGE-q LIMIT

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