The internal energy density of the Potts model on a semi-infinite strip with a width L has been conjectured to have no finite-size corrections at the critical point K = K c . By factorizing the transfer matrix for the kagome lattice with larger widths, we have found that this conjecture is not correct in that the internal energy density varies slightly with L at the critical point. From this size dependence of the internal energy density, we obtain an upper bound as K c < 1.0565615, which is close to a recent estimate K JS c = 1.0565600(7) by Jacobsen and Scullard [J. Phys. A 45, 494003 (2012)]. We also obtain a lower bound as K c > 1.0560 by calculating the correlation length along the strips.
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Baek, S.K., Mäkelä, H. Internal energy density of the critical three-state Potts model on the kagome lattice. Journal of the Korean Physical Society 63, 1167–1170 (2013). https://doi.org/10.3938/jkps.63.1167
- Potts model
- Kagome lattice