Abstract
The phase diagram of the two-dimensional, three-state chiral Potts or asymmetric clock model is studied using Monte Carlo techniques. The phase boundaries are compared to those obtained using the finite-size renormalization group and the free fermion approximation. The incommensurate phase is described in detail and crossover effects near the Lifshitz point are discussed.
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References
Bak, P.: Rep. Prog. Phys. (to be published)
Aubry, S.: In: Solitons and Condensed Matter Physics, Bishop, A.R., Schneider, T. (eds.). Berlin, Heidelberg, New York: Springer 1978
Fisher, M.E., Selke, W.: Phys. Rev. Lett.44, 1502 (1980); Philos. Trans. Roy Soc. London302, 1 (1981)
Saito, Y.: Phys. Rev. B24, 6652 (1981); Nakanishi, K., Shiba, H.: (to be published)
Kinzel, W., Selke, W., Binder, K.: Surf. Sci. (to be published)
Huse, D.: Phys. Rev. B24, 5180 (1981)
Ostlund, S.: Phys. Rev. B24, 398 (1981)
Coppersmith, S.N., Fisher, D.S., Halperin, B.I., Lee, P.A., Brinkman, W.F.: Phys. Rev Lett.46, 549 (1981); Phys. Rev. B25, 349 (1982)
Yeomans, J.M., Fisher, M.E.: J. Phys. C14, L835 (1981)
Gordon, M., Villain, J.: Physica B108, 1075 (1981)
Villain, J., Gordon, M.: J. Phys. C13, 3117 (1980)
Axel, F., Aubry, S.: J. Phys. C14, 5433 (1981)
Hornreich, R.M., Luban, M., Shtrikman, S.: Phys. Rev. Lett.35, 1678 (1975)
Hornreich, R.M.: J. Magn. Magn. Mater.15–18, 387 (1980)
Selke, W.: Z. Phys. B—Condensed Matter43, 335 (1981)
Selke, W., Fisher, M.E.: Z. Phys. B—Condensed Matter40, 71 (1980); J. Magn. Magn. Mater.15–18, 403 (1980)
Barber, M.N., Duxbury, P.M.: J. Phys. A14, L251 (1981)
Yeomans, J.M., Fisher, M.E.: (to be published)
Wu, F.Y.: Rev. Mod. Phys.54, 235 (1982)
Kinzel, W., Selke, W., Wu, F.Y.: J. Phys. A14, L399 (1981)
Binder, K. (ed.): Monte Carlo methods in statistical physics. Topics in Current Physics. Vol. 7 Berlin, Heidelberg, New York: Springer 1979
Fisher, M.E.: In: Critical phenomena. Proc. 1970, Enrico Fermi International School of Physics. Green, M.S. (ed.). New York: Academic Press 1971
Peschel, I., Emery, V.J.: Z. Phys. B—Condensed Matter43, 241 (1981)
Peschel, I.: Z. Phys. B45, 339 (1982)
Wolff, W.F.: (to be published)
Binder, K.: J. Stat. Phys.24, 69 (1981)
Pokrovskii, V.L., Talapov, A.L.: Phys. Rev. Lett.42, 65 (1979); Sov. Phys.JETP51, 134 (1980)
Villain, J., Bak, P.: J. Phys. (Paris)42, 657 (1981)
Rujan, P.: Phys Rev. B24, 6620 (1981)
Kosterlitz, J.M., Thouless, D.J.: J. Phys. C6, 1181 (1973)
Van Himbergen, J.E., Chakravarty, S.: Phys. Rev. B23, 359 (1981)
Hornreich, R.M., Liebmann, R., Schuster, H.G., Selke, W.: Z. Phys. B—Condensed Matter35, 91 (1979)
Schulz, H.J.: Phys. Rev. B22, 5274 (1980)
Nattermann, T.: J. Phys. (Paris)41, 1251 (1980); J. Phys. (Paris):43, 631 (1982)
Fisher, M.E., Fisher, D.S.: Phys. Rev. B25, (to be published)
Vannimenus, J.: Z. Phys. B—Condensed Matter43, 141 (1981)
Haldane, F.D.M., Villain, J.: J. Phys. (Paris)42, 1673 (1981)
Centen, P., Rittenberg, V., Marcu, M.: Nucl. Phys. B (to be published)
Selke, W., Pesch, W.: Z. Phys. B—Condensed Matter (to be published)
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Selke, W., Yeomans, J.M. A Monte Carlo study of the asymmetric clock or chiral Potts model in two dimensions. Z. Physik B - Condensed Matter 46, 311–318 (1982). https://doi.org/10.1007/BF01307706
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DOI: https://doi.org/10.1007/BF01307706