Home > Publications database > Melting transition of a network model in two dimensions |
Journal Article | PreJuSER-62130 |
;
2000
Springer
Berlin
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Please use a persistent id in citations: doi:10.1007/PL00014595
Abstract: The freezing transition of a network model for tensionless membranes confined to two dimensions is investigated by Monte Carlo simulations and scaling arguments. In this model, a freezing transition is induced by reducing the tt ther length. Translational and bond-orientational order parameters and elastic constants are determined as a function of the tether length. A finite-size scaling analysis is used to show that the crystal melts via successive dislocation and disclination unbinding transitions, in qualitative agreement with the predictions of the Kosterlitz-Thouless-Halperin-Nelson-Young theory. The hexatic phase is found to be stable over only a very small interval of tether lengths.
Keyword(s): J
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