Abstract
A summary of the method of geometrical inequalities which is capable of determining rigorously the ground states of the lattice gas model with competing interactions is presented. The results for the two-dimensional lattices are surveyed with the purpose of applying the model to the problems of ordering on the surface. The prediction of infinite series of the ground states in the case of the honeycomb lattice and the (7×7) reconstruction and related ones of the (lll) surface of Si, Ge and their alloys are discussed in some detail as illustrative examples of the applications.
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Kanamori, J. (1985). The Lattice Gas Model of Surface Ordering. In: Yoshimori, A., Tsukada, M. (eds) Dynamical Processes and Ordering on Solid Surfaces. Springer Series in Solid-State Sciences, vol 59. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82423-4_20
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DOI: https://doi.org/10.1007/978-3-642-82423-4_20
Publisher Name: Springer, Berlin, Heidelberg
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