Two-Dimensional Models of Commensurate-Incommensurate Phase Transitions

  • Paul D. Beale
Part of the NATO ASI Series book series (NSSB, volume 166)


This paper presents a brief review of the phase diagram and phase transition properties of the two-dimensional Axial Next Nearest Neighbor Ising (ANNNl) model. The model exhibits a two-dimensional commensurate-incommensurate phase transition to a striped incommensurate phase. The phenomenological finite-size scaling method is able to correctly locate and identify all the phase transition lines in the phase diagram.


Correlation Length Transition Line Incommensurate Phase Phase Transition Line Commensurate Phase 
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  1. 1.
    R. J. Elliot, Phys. Rev. 124, 346 (1961).ADSCrossRefGoogle Scholar
  2. 2.
    P. Bak and J. von Boehm, Phys. Rev. B 21, 5287 (1980).ADSGoogle Scholar
  3. 3.
    I. Pechel and V. J. Emery, Z. Phys. B 43, 241 (1981).MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    J. Villain and P. Bak, J. Phys. (Paris) 42, 657 (1980).Google Scholar
  5. 5.
    V. L. Prokrovski and A. L. Talapov, Zh. Eksp. Teor. Fiz. 78, 269 (1980).Google Scholar
  6. 6.
    P. D. Beale, P. M. Duxbury and J. Yeomans, Phys. Rev. B 31, 7166 (1985).ADSCrossRefGoogle Scholar
  7. 7.
    P. Nightingale, J. Appl. Phys. 53, 7927 (1982).ADSCrossRefGoogle Scholar
  8. 8.
    M. N. Barber, in “Phase Transitions and Critical Phenomena,” vol. 7, C. Domb and J. Lebowitz (eds.) (Academic, London, 1984).Google Scholar
  9. 9.
    P. Bak, Rep. Prog. Phys. 45, 578 (1982).MathSciNetADSCrossRefGoogle Scholar
  10. 10.
    S. G. J. Mochrie, Bull. Am. Phys. 30, 345 (1985).Google Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • Paul D. Beale
    • 1
  1. 1.Department of PhysicsUniversity of ColoradoBoulderUSA

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