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Dislocations and Disclinations in Smectic Systems

  • S. T. Lagerwall
  • B. Stebler
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)

Abstract

The dislocation theory of melting, revived and extended “by R.M. Cotterill1, has, combined with renormalization theory, been the basis for an intense recent development in the description of phase transitions, notably in the work of J.M. Kosterlitz and D.J. Thouless on the xy-model, and its elaboration by B.I. Halperin and D.R. Nelson-3. The variety of order in liquid crystals, especially in the topological sense, makes these systems interesting in several respects, regarding phase transitions and involved defects, as well as regarding the general physical behaviour of low-dimensional systems.

Keywords

Liquid Crystal Burger Vector Vortex Line Dislocation Line Vortex Pair 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    R.M. Cotterill and L.B. Pedersen, Sol.State Coim, 10, 439(1972);ADSCrossRefGoogle Scholar
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    R.M. Cotterill, Phys.Blatter 31,571(1975), (with references to earlier work).Google Scholar
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    J.M. Kosterlitz and D.J. Thouless, J.Phys.C 6,1181(1973)ADSCrossRefGoogle Scholar
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    B.I. Halperin and D.R. Nelson, Phys.Rev.Lett.H 41, 121. and 519(1978)MathSciNetADSCrossRefGoogle Scholar
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    S.T. Lagerwall, R.B. Meyer and B. Stebler, Annales de Physique 3, 249(1978)Google Scholar
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    A very general treatise of this field is M.Kléman, Points. Lignes. Parois.(Paris 1977)Google Scholar
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    S.T. Lagerwall and B. Stebler, Optics Comm., to be published.Google Scholar
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    M. Kléman, L. Michel and G. Toulouse, J.Phys.Lettr.Paris, 38, L-195 (1977);Google Scholar
  12. 10a.
    A very general treatise of this field is M.Kléman, Points. Lignes. Parois.(Paris 1977)Google Scholar
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    W. Helfrich, J.Phys.Paris, 39,1199(1978)Google Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • S. T. Lagerwall
    • 1
  • B. Stebler
    • 1
  1. 1.Physics DepartmentChalmers University of TechnologyGöteborgSweden

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