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Single tensionless transition in the Laplacian roughening model

Juan Jesus Ruiz-Lorenzo·Esteban Moro·Rodolfo Cuerno
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Abstract

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.

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Juan Jesus Ruiz-Lorenzo, Esteban Moro, Rodolfo Cuerno. 2006-01-23. Single tensionless transition in the Laplacian roughening model. https://doi.org/10.1103/physreve.73.015103

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