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arXiv · hep-lat/9509056

2D Potts Model Correlation Lengths: Numerical Evidence for $ξ_o = ξ_d$ at $β_t$

Wolfhard Janke·Stefan Kappler
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Abstract

We have studied spin-spin correlation functions in the ordered phase of the two-dimensional $q$-state Potts model with $q=10$, 15, and 20 at the first-order transition point $β_t$. Through extensive Monte Carlo simulations we obtain strong numerical evidence that the correlation length in the ordered phase agrees with the exactly known and recently numerically confirmed correlation length in the disordered phase: $ξ_o(β_t) = ξ_d(β_t)$. As a byproduct we find the energy moments in the ordered phase at $β_t$ in very good agreement with a recent large $q$-expansion.

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Wolfhard Janke, Stefan Kappler. 1995-09-16. 2D Potts Model Correlation Lengths: Numerical Evidence for $ξ_o = ξ_d$ at $β_t$. https://doi.org/10.1209/0295-5075%2F31%2F7%2F001

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