Abstract
Periodically modulated structures are very common in solid state physics. Helical and sinusoidal magnetic structures, charge-density waves in layered compounds and quasi-one-dimensional conductors, and rare gas monolayers adsorbed on graphite are among the best known examples [1].
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
See P. Bak, “Solitons in Incommensurate Systems”, in Solitons and Condensed Matter Physics, ed. by A.R. Bishop and T. Schneider, Springer Series in Solid-State Sciences, Vol. 8 (Springer, Berlin, Heidelberg, New York 1978) p.216, and references therein.
R.J. Elliott, Phys.Rev. 124, 346 (1961).
P. Bak and J. von Boehm, Phys.Rev.Lett. 42, 122 (1979)
P. Bak and J. von Boehm J.Appl.Phys. 50, 1970 (1979).
P. Bak and J. von Boehm, Phys.Rev. B21, 5297 (1980).
P. Bak and J. von Boehm, Bull.Am.Phys.Soc. 24, 429 (1978).
J. Villain and M. Gordon, J.Phys.C 13, 3117 (1980).
M.E. Fisher and W. Selke, Phys.Rev.Lett. 44, 1502 (1980).
E.B. Rasmussen, Thesis, University of Aarhus, Denmark, and to be published.
S. Aubry, “The New Concept of Transitions by Breaking of Analyticity in a Crystallographic Model”, in Solitons and Condensed Matter Physics, ed. by A.R. Bishop and T. Schneider, Springer Series in Solid-State Sciences, Vol..8 (Springer, Berlin, Heidelberg, New York 1978) p. 264.
B. Mandelbrot, Fractals: Form, change, and Dimension (Freeman, San Francisco, 1970).
P. Fisher, B. Lebech, G. Meier, B.D. Rainford, and O. Vogt, J.Phys.C11, 345 (1978).
J. Rossat-Mignod, P. Burlet, H. Bartholin, J. Villain, T.S. Wang, and O. Vogt, Phys.Rev. B16, 446 (1977).
J.M. Kosterlitz and D.J. Thouless, J.Phys.C6, 1181 (1973)
J.M. Kosterlitz and D.J. Thouless, J.M. Kosterlitz, J.Phys.C7, 1046 (1974).
R.M. Hornreich, R. Liebmann, H.G. Schuster, and W. Selke, Z.Phys.B35, 91 (1979)
W. Selke and M.E. Fisher, Z.Phys.B, to be published.
W. Selke, Z.Phys.B29, 1133 (1978).
W. Selke and M.E. FTsher, Phys.Rev.B20, 257 (1979).
P. Bak in “Proceedings of the 1980 Conference of the Condensed Matter Division of the European Physical Society, Antwerp April 9–11 (1980).”
W.L. McMillan, Phys.Rev.B14, 1496 (1976).
P. Bak and V. J. Emery, Phys.Rev.Lett. 36, 978 (1976).
V. L. Pokrovsky, Solid State Commun. 26, 77 (1978).
V.L. Pokrovsky, private communications.
A. Aharory and P. Bak, to be published.
D. Mukamel and S. Krinsky, Phys.Rev. B13, 5065 (1976)
D. Mukamel and S. Krinsky, P. Bak, Phys.Rev. B.13 5086 (1976).
J. Tosé, L. M. Kadanoff, S. Kirkpatrick, and D. Nelson, Phys.Rev. B17, 1477 (1978).
B.I. Halperin and D. Nelson, Phys.Rev.Lett. 41, 121 (1978).
V.L. Pokrovsky and A.L. Talapov, ZhETF (T980).
J. Hubbard, Phys.Rev.Lett. 3, 77 (1959).
P.F. Dashen, B. Hasslacher, and A. Neveu, Phys.Rev.D10, 4114, 4130 (1974).
E. Müller-Hartmann and J. Zittartz, Z.Phys. B27, 261 (1977).
P. Bak and J. Villain, to be published.
P. Bak and H. Fukuyama, Phys.Rev. B21, 3287 (1979).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bak, P. (1981). Ising Models, Solitons, and the Devil’s Staircase. In: Bernasconi, J., Schneider, T. (eds) Physics in One Dimension. Springer Series in Solid-State Sciences, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81592-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-81592-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81594-2
Online ISBN: 978-3-642-81592-8
eBook Packages: Springer Book Archive