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The critical line of an asymmetric eight vertex model

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Zeitschrift für Physik B Condensed Matter

Abstract

Phenomenological renormalization of finite lattice data is used to locate the critical line of an asymmetric eight-vertex model. This model reduces at a special point to a loop gas on the square lattice. The critical fugacity of the loop gas is estimated to be 2.373±0.001, whereas the correlation exponent appears to be Ising-like.

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References

  1. For a recent review of the eight vertex model, see Baxter, R.J.: Exactly solved models in statistical mechanics. London: Academic Press 1982

    Google Scholar 

  2. Lieb, E.H., Wu, F.Y.: In: Phase transitions and critical phenomena. Domb, C., Green, M.S. (eds.), Vol. 1. London: Academic Press 1972

    Google Scholar 

  3. A more general domain wall model including bending energies has been discussed recently; see Rys, F.S.: Phys. Rev. Lett.51, 849 (1983)

    Google Scholar 

  4. Rys, F.S., Helfrich, W.: J. Phys. A15, 599 (1982)

    Google Scholar 

  5. Karowski, M., Thun, H.-J., Helfrich, W., Rys, F.S.: J. Phys. A16, 4073 (1983)

    Google Scholar 

  6. Swendsen, R.H., Andelman, D., Berker, A.N.: Phys. Rev. B24, 6732 (1981)

    Google Scholar 

  7. Kramers, H.A., Wannier, G.H.: Phys. Rev.60, 252 (1941)

    Google Scholar 

  8. Peschel, I., Rys., F.S.: Phys. Lett.97A, 187 (1982)

    Google Scholar 

  9. Nightingale, M.P.: Physica83A, 561 (1976)

    Google Scholar 

  10. Nightingale, M.P.: J. Appl. Phys.53, 7927 (1982)

    Google Scholar 

  11. Barber, M.N.: In: Phase transitions and critical phenomena. Domb, C., Lebowitz, J.L. (eds.), Vol. 8, p. 146. London: Academic Press 1983

    Google Scholar 

  12. Hamer, C.J., Barber, M.N.: J. Phys. A14, 259 (1981)

    Google Scholar 

  13. Ree, F.H., Chestnut, D.A.: J. Chem. Phys.45, 3983 (1966)

    Google Scholar 

  14. Runnels, L.K., Combs, L.I.: J. Chem. Phys.45, 2482 (1966)

    Google Scholar 

  15. Hamer, C.J., Barber, M.N.: J. Phys. A14, 2009 (1981)

    Google Scholar 

  16. Smith, D.A., Ford, W.F.: SIAM J. Numer. Anal.16, 223 (1979)

    Google Scholar 

  17. Nauenberg, M., Nienhuis, B.: Phys. Rev. Lett.33, 944 (1974)

    Google Scholar 

  18. Nightingale, M.P.: Phys. Lett.59A, 486 (1977)

    Google Scholar 

  19. Oitmaa, J.: J. Phys. A14, 1159 (1981)

    Google Scholar 

  20. Barber, M.N.: Phys. Rev. B27, 5879 (1983)

    Google Scholar 

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Barber, M.N., Rys, F.S. The critical line of an asymmetric eight vertex model. Z. Physik B - Condensed Matter 58, 149–153 (1985). https://doi.org/10.1007/BF01304267

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  • DOI: https://doi.org/10.1007/BF01304267

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