Abstract
A phase diagram of pinned soliton structures in two dimensions has been found for a repulsive interactionU(x) between solitons withU″(x)>0. The critical fugacity of the commensurate soliton structure is shown to be proportional toU″(l), wherel is the period of this structure.
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References
S. E. Burkov, V. L. Pokrovsky, and G. Uimin,J. Phys. A15:L645 (1982).
J. Villain, inOrdering in Strongly Fluctuating Condensed Matter Systems, T. Riste, ed. (Plenum, New York, 1980).
I. F. Lyuksyutov, V. K. Medvedev, and I. N. Yakovkin,Zh. Eksp. Teor. Fiz. 80:2452 (1981).
S. Aubry,Ferroelectrics 24:53 (1980); V. L. Pokrovsky,J. Phys. (Paris) 42:762 (1981).
V. L. Pokrovsky and G. V. Uimin,J. Phys. C 2:3535 (1978); J. Hubbard,Phys. Rev. B 17:494 (1978).
P. Bak and R. Bruinsma,Phys. Rev. Lett. 49:249 (1982).
S. E. Burkov and Ya. G. Sinai,Usp. Mat. Nauk 38:205 (1983).
J. Villain and P. Bak,J. Phys. (Paris) 42:657 (1981).
S. Ostlund,Phys. Rev. B 24:398 (1981).
E. H. Lieb and F. Y. Wu, inPhase Transitions and Critical Phenomena (Academic, London, 1972), Vol. 1.
C. N. Yang and C. P. Yang,Phys. Rev. 150:327 (1966).
V. L. Pokrovsky and A. L. Talapov,Phys. Rev. Lett. 42:65 (1979).
H. J. Schulz,Phys. Rev. Lett. 46:1685 (1981).
A. Luther and D. J. Scalapino,Phys. Rev. B 16:1153 (1977).
M. P. M. den Nijs,Physica 3A:273 (1982).
S. N. Coppersmith, D. S. Fisher, B. I. Halperin, P. A. Lee, and W. F. Brinkman,Phys. Rev. Lett. 46:549 (1981).
R. J. Baxter,Phys. Rev. Lett. 26:834 (1971).
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Uimin, G.V., Pokrovsky, V.L. Two-dimensional commensurate soliton structures. J Stat Phys 34, 775–780 (1984). https://doi.org/10.1007/BF01009439
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DOI: https://doi.org/10.1007/BF01009439