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The three-dimensional, three-state Potts Model in an External Field

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arxiv hep-lat/0007019 v1 pith:KRYYJRCT submitted 2000-07-14 hep-lat cond-mat.stat-mechhep-ph

Frithjof Karsch , Sven Stickan This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-ph
keywords criticalmodelthree-dimensionaldetermineexternalfieldorderpotts
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We analyze the critical behaviour of the three-dimensional, three-state Potts model in the presence of an external ordering field. From a finite size scaling analysis on lattices of size up to 70**3 we determine the critical endpoint of the line of first order phase transitions as (b_c, h_c) =(0.54938(2), 0.000775(10)). We determine the relevant temperature like and symmetry breaking directions at this second order critical point and explicitly verify that it is in the universality class of the three-dimensional Ising model.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Finite-size scaling of Lee-Yang zeros and its application to the 3-state Potts model and heavy-quark QCD

    hep-lat 2025-01 conditional novelty 6.0 of 10

    Ratios of Lee-Yang zeros on finite lattices cross at the critical point, giving a new finite-size-scaling method verified in Ising, Potts, and heavy-quark QCD models.

  2. Lee-Yang zeros and edge singularity in a mean-field approach

    hep-ph 2026-05 unverdicted novelty 4.0 of 10

    The study analyzes temperature dependence of Lee-Yang zeros and edge singularities in a finite-volume mean-field QCD model and compares finite-size scaling methods for identifying the critical point.

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