Single tensionless transition in the Laplacian roughening model

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We report large scale Monte Carlo simulations of the equilibrium discrete Laplacian roughening (dLr) model, originally introduced as the simplest one accommodating the hexatic phase in two-dimensional melting. The dLr model is also relevant to surface roughening in molecular beam epitaxy (MBE). Our data suggest a single phase transition, possibly of the Kosterlitz-Thouless type, between a flat low-temperature phase and a rough, tensionless, high-temperature phase. Thus, earlier conclusions on the order of the phase transition and on the existence of a hexatic phase are seen as due to finite size effects, the phase diagram of the dLr model being similar to that of a continuum analog previously formulated in the context of surface growth by MBE.
4 pages, 4 figures. Accepted as a Rapid Communication in Phys. Rev. E

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Statistical Mechanics, Soft Condensed Matter

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http://salesiana.dossiersoluciones.com/handle/123456789/107080

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0601514
 http://arxiv.org/abs/cond-mat/0601514
 Phys. Rev. E 73, 015103 (2006)
 doi:10.1103/PhysRevE.73.015103

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arXiv