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Corner exponents in the two-dimensional Potts model

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Abstract

The critical behavior at a corner in two-dimensional Ising and three-state Potts models is studied numerically on the square lattice using transfer operator techniques. The local critical exponents for the magnetization and the energy density for various opening angles are deduced from finite-size scaling results at the critical point for isotropic or anisotropic couplings. The scaling dimensions compare quite well with the values expected from conformal invariance, provided the opening angle is replaced by an effective one in anisotropic systems.

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References

  1. J. L. Cardy,J. Phys. A 16:3617 (1983).

    Google Scholar 

  2. M. N. Barber, I. Peschel, and P. A. Pearce,J. Stat. Phys. 37:497 (1984).

    Google Scholar 

  3. I. Peschel,Phys. Lett. 110A:313 (1985).

    Google Scholar 

  4. C. Kaiser and I. Peschel,J. Stat. Phys. 54:567 (1989).

    Google Scholar 

  5. B. Davies and I. Peschel,J. Phys. A 24:1293 (1991).

    Google Scholar 

  6. D. B. Abraham and F. T. Latrémolière,Phys. Rev. E 50:R9 (1994).

    Google Scholar 

  7. D. B. Abraham and F. T. Latrémolière,J. Stat. Phys. 81:539 (1995).

    Google Scholar 

  8. C. Kaiser and I. Peschel,J. Phys. C 6:1149 (1994).

    Google Scholar 

  9. A. J. Guttmann and G. M. Torrie,J. Phys. A 17:3539 (1984).

    Google Scholar 

  10. J. L. Cardy and S. Redner,J. Phys. A 17:L933 (1984).

    Google Scholar 

  11. B. Duplantier and H. Saleur,Phys. Rev. Lett. 57:3179 (1986).

    Google Scholar 

  12. D. Considine and S. Redner,J. Phys. A 22:1621 (1989).

    Google Scholar 

  13. C. Vanderzande,J. Phys. A 23:563 (1990).

    Google Scholar 

  14. J. L. Cardy,Nucl. Phys. B 240:514 (1984).

    Google Scholar 

  15. I. Peschel, L. Turban, and F. Iglói,J. Phys. A 24:L1229 (1991).

    Google Scholar 

  16. F. Iglói, I. Peschel, and L. Turban,Adv. Phys. 42:683 (1993).

    Google Scholar 

  17. L. Mittag and M. J. Stephen,J. Math. Phys. 12:441 (1971).

    Google Scholar 

  18. F. Y. Wu,Rev. Mod. Phys. 54:235 (1982).

    Google Scholar 

  19. M. Henkel and G. Schütz,J. Phys. A 21:2617 (1988).

    Google Scholar 

  20. T. W. Burkhardt and J. L. Cardy,J. Phys. A 20:L233 (1987).

    Google Scholar 

  21. D. Kim and P. A. Pearce,J. Phys. A 20:L451 (1987).

    Google Scholar 

  22. H. W. J. Blöte and M. P. Nightingale,Physica 112A:405 (1982).

    Google Scholar 

  23. H. N. V. Temperley and E. H. Lieb,Proc. R. Soc. Lond. A 322:251 (1971).

    Google Scholar 

  24. R. J. Baxter, S. B. Kelland, and F. Y. Wu,J. Phys. A 9:397 (1976).

    Google Scholar 

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Author notes

  1. Peter Lajkó

    Present address: Department of Theoretical Physics, University of Szeged, H-6720, Szeged, Hungary

Authors and Affiliations

  1. Laboratoire de Physique du Solide (URA CNRS No 155), Université Henri Poincaré (Nancy I), F-54506, Vandœuvre lès Nancy Cedex, France

    Dragi Karevski, Peter Lajkó & Loïc Turban

Authors
  1. Dragi Karevski
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  2. Peter Lajkó
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  3. Loïc Turban
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Karevski, D., Lajkó, P. & Turban, L. Corner exponents in the two-dimensional Potts model. J Stat Phys 86, 1153–1162 (1997). https://doi.org/10.1007/BF02183618

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  • DOI: https://doi.org/10.1007/BF02183618

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