Two-Dimensional Solids and Their Interaction with Substrates

  • Jacques Villain
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 50)


Adsorbed monolayers on an ideal substrate may exhibit solid phases incommensurable with the substrate. Near the transition to a commensurable solid state (C-I transition) the incommensurable phase can be described as an array of walls separating nearly registered domains.

After a review of earlier theories, the properties of the incommensurable phase are studied near the C-I transition. In the case of an anisotropic substrate, a continuous transition is predicted both at T=0 and T≠0, but with different critical behaviour. For a hexagonal substrate a first order transition is predicted except possibly at T=0.


Adsorbed Layer Critical Behaviour Reciprocal Lattice Vector Incommensurable Phase Commensurable Phase 
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Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • Jacques Villain
    • 1
  1. 1.Laboratoire de Diffraction NeutroniqueDepartment de Recherche FondamentaleGrenoble CedexFrance

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