Abstract
A mean field theory of soliton contribution of two-dimensional scalar field ϕ4−ϕ2 into the partition function is developed. Interacting two-dimensional soliton configurations (SC) are imitated as charged contours coupled through a massive field. A thermodynamics of these contours is considered with the help of integration over an auxiliary field. It is shown that the soliton excitations are responsible for the phase transition but not the phonon excitations even in the displacive limit.
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Nielsen, H.B., Olesen, D.: Nucl. Phys.B61, 45 (1973)
Polyakov, A.M.: L.D. Landau Inst. Preprint 1974
't Hooft, G.: Nucl. Phys.B 79, 276 (1974)
Krumhansl, J.A., Schrieffer, J.P.: Phys. Rev.B11, 3535 (1975)
Currie, J.F., Krumhansl, J.A., Bishop, A.R., Trullinger, S.E.: Phys. Rev.B22, 477 (1980)
Mazenko, G.F., Sahni, P.S.: Phys. Rev.B18, 6139 (1978);B 20, 4674 (1979)
Polyakov, A.M.: Nucl. Phys.B120, 429 (1977)
Blinc, R., Zeks, B.: Soft modes in ferroelectrics and antiferroelectrics. Amsterdam, Oxford: North-Holland 1974
Beale, P.D., Sarker, S., Krumhansl, J.A.: Phys. Rev.B24, 266 (1981)
Beale, P.D.: Phys. Rev.B24, 6711 (1981)
Savit, R.: Rev. Mod. Phys.52, 453 (1980)
Müller-Hartmann, E., Zittartz, J.: Z. Phys. B—Condensed Matter27, 261 (1977)
Kogut, J.B.: Rev. Mod. Phys.51, 659 (1979)
Obukhov, S.P.: Zh. Eksp. Teor. Fiz.83, 1978 (1982)
Langer, J.S.: Ann. Phys.41, 108 (1967)
Binder, K.: Ann. Phys.98, 390 (1976)
Lowe, M.J., Wallace, D.J.: J. Phys.A13, L381 (1980)
Bruce, A.D., Wallace, D.J.: J. Phys.A16, 1721 (1983)
Sinai, Ya.G.: Theory of phase transitions. Chap. 2. Moskow: Nauka 1980 (in Russian)
Rajaraman, R.: Solitons and instantons. Chap. 2. Amsterdam, New York, Oxford: North-Holland 1982
Friedel, J.: Dislocations. Oxford, New York: Pergamon Press 1964
Dzyaloshinskii, I.E., Obukhov, S.P.: Zh. Eksp. Teor. Fiz.83, 813 (1982)
Patashinskii, A.Z., Shumilo, B.I.: Zh. Eksp. Teor. Fiz.89, 315 (1985)
Einhorn, M., Savit, R.: Phys. Rev.D 17, 2583 (1978);D 19, 1198 (1979)
Nelson, D.R.: Phys. Rev.B18, 2318 (1978);B 26, 269 (1982)
Kleinert, H.: Phys. Lett.89 A, 294 (1982)
Prudnikov, A.P., Brichkov, Yu.A., Marichev, O.I.: Integrals and series, special functions, p. 213. Moskow: Nauka 1983 (In Russian)
Mattis, D.C.: Phys. Rev. Lett.58, 2470 (1987)
Khokhlachev, S.B.: Zh. Eksp. Teor. Phys.70, 265 (1976)
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Sadreev, A.F. Thermodynamics of solition configurations in a two-dimensional model for displacive phase transition. Z. Physik B - Condensed Matter 73, 115–124 (1988). https://doi.org/10.1007/BF01312162
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DOI: https://doi.org/10.1007/BF01312162