Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras

  title={Critical points of Potts and O(N) models from eigenvalue identities in periodic Temperley–Lieb algebras},
  author={Jesper Lykke Jacobsen},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • J. Jacobsen
  • Published 10 July 2015
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
In previous work with Scullard, we have defined a graph polynomial PB(q, T) that gives access to the critical temperature Tc of the q-state Potts model defined on a general two-dimensional lattice  . ?> It depends on a basis B, containing n × m unit cells of  , ?> and the relevant root Tc(n, m) of PB(q, T) was observed to converge quickly to Tc in the limit n , m → ∞ . ?> Moreover, in exactly solvable cases there is no finite-size dependence at all. In this paper we show how to reformulate… 

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