Abstract
Recently, various aspects of interacting particles moving in a periodic substrate potential have been investigated. Many papers have considered the commensurate-incommensurate transition within various restricted assumptions. (Restriction to T=0 [1–3], continuum approximation [3–5], low temperatures [6–7]). Studies of the order-disorder regime have been restricted mainly to one dimensional models [8–10]. Here we want to discuss some aspects of this problem for one and two dimensional models. In order to discuss the order-disorder regime, we have chosen to relate the original Hamiltonian to an effective Cluster Hamiltonian. Then, standard methods can be applied. In the following we show how this can be achieved for two specific examples.
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Brüesch, P., Hibma, T., Pietronero, L., Strässler, S. (1981). Effect of Relaxation on some Thermodynamic Properties of Lattice Gas Models with Applications to AgCrS2 and Hollandite. In: Pietronero, L., Tosatti, E. (eds) Physics of Intercalation Compounds. Springer Series in Solid-State Sciences, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81774-8_33
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DOI: https://doi.org/10.1007/978-3-642-81774-8_33
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