Higher-Order Commensurate, Incommensurate and Liquid Phases of an Atomic Monolayer System on a Periodic Substrate

  • H. Mitani
Part of the Springer Series in Synergetics book series (SSSYN, volume 43)


We study a grand canonical system of a two-dimensional(2D) competitive model where a monolayer of atoms is located on a graphite-type substrate potential. The Hamiltonian is as follows:
$$H = \frac{{2A}}{{21}}\mathop \Sigma \limits_{ < i,j >} \frac{1}{{|{{\vec x}_i} - {{\vec x}_j}{|^5}}} + \frac{{{E_s}}}{6}\mathop \Sigma \limits_i^M \left( {3 - \cos \left( {{{\vec g}_1} \cdot {{\vec x}_i}} \right) - \cos \left( {{{\vec g}_2} \cdot {{\vec x}_i}} \right) - \cos \left( {{{\vec g}_3} \cdot {{\vec x}_i}} \right)} \right),$$
where \({\vec x_i}\left( {i = 1, \cdot \cdot \cdot ,M} \right)\) is the 2D location of the atoms and \({\vec g_j}\left( {j = 1,2,3} \right)\) are the reciprocal vectors of the substrate lattice.


Phase Diagram Phase Transition Temperature Competitive Model Substrate Lattice Periodic Substrate 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1989

Authors and Affiliations

  • H. Mitani
    • 1
  1. 1.Institute for Solid State PhysicsUniversity of TokyoMinato-ku, TokyoJapan

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