A two-dimensional lattice with harmonic interactions to nearest and next-nearest neighbours is studied in detail. The local anharmonic ion-electron interaction is described by a double-quadratic potential. The ground state is a periodic structure with different periods for variable parameters. In a simple mean-field approximation, it is found that with changing temperature, transitions between different periodic structures are possible.
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Behnke et al. (1982) studied this question.
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