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The Roughening Transition on Surfaces

  • Jean Lapujoulade
  • Bernard Salanon
Part of the NATO ASI Series book series (NSSB, volume 267)

Abstract

The concept of a roughening transition on surfaces has been introduced in 1951 by Burton,Cabrera and Frank1 in order to explain why the growth of crystals was observed to proceed in two very different regimes: layer by layer or tridimensional. They have shown that a surface layer of a simple cubic crystal in which every site can be either occupied or empty, is formally equivalent to an assembly of up and down spins known as the 2-d Ising model. From the Onsager solution of this model2 they have predicted a transition from a smooth phase at low temperature to a rough phase at higher temperature. However there is no reason to restrict the roughening to the outermost layer (empty or occupied) and it was recognized later that the removal of this restriction shifts the transition in an other universality class first described by Kosterlitz and Thouless3. The first experimental evidence of the existence of the roughening transition, given in 1974 by Pawlowska and Nenow4, has strongly stimulated researches in this field: theory,simulation and experiment. The nature of the roughening transition is now well understood and realistic models have been solved either analytically or by simulation. They can be compared to an increasing number of accurate experimental data.

Keywords

Diffuse Scattering Incoherent Scattering Vicinal Surface Surface Stiffness Helium Crystal 
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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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Jean Lapujoulade
    • 1
  • Bernard Salanon
    • 1
  1. 1.Centre d’Etudes Nucléaires de SaclayDPhG/PAS Bat.462Gif-sur-YvetteCedexFrance

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