Phase boundary for planar site-bond percolation problems from a generalised star-triangle transformation

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Abstract

On the basis of a generalised star-triangle transformation and of existing conjectures concerning the critical point of some planar Potts models, the phase boundary is determined for the combined site-bond percolation problem on a number of lattices, including the triangular and the honeycomb lattice. As a special case, the critical probability for the honeycomb site problem is found to be pc-1/ square root 2.

Original languageEnglish
Article number001
JournalJournal of Physics C: Solid State Physics
Volume13
Issue number22
DOIs
Publication statusPublished - 1980

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Potts model
Phase boundaries
triangles
Stars
stars
critical point

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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title = "Phase boundary for planar site-bond percolation problems from a generalised star-triangle transformation",
abstract = "On the basis of a generalised star-triangle transformation and of existing conjectures concerning the critical point of some planar Potts models, the phase boundary is determined for the combined site-bond percolation problem on a number of lattices, including the triangular and the honeycomb lattice. As a special case, the critical probability for the honeycomb site problem is found to be pc-1/ square root 2.",
author = "I. Kondor",
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AB - On the basis of a generalised star-triangle transformation and of existing conjectures concerning the critical point of some planar Potts models, the phase boundary is determined for the combined site-bond percolation problem on a number of lattices, including the triangular and the honeycomb lattice. As a special case, the critical probability for the honeycomb site problem is found to be pc-1/ square root 2.

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