Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-01-23
Phys. Rev. E 73, 015103 (2006)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 4 figures. Accepted as a Rapid Communication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.73.015103
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.
Cuerno Rodolfo
Moro Esteban
Ruiz-Lorenzo Juan Jesus
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