Publication:
Single tensionless transition in the Laplacian roughening model

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ISSN: 1539-3755 (Print)
ISSN: 1550-2376 (Online)
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2006-01
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The American Physical Society
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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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4 pages, 4 figures.-- PACS nrs.: 64.60.Cn, 68.35.Ct, 68.35.Rh.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0601514
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
Keywords
Statistical Mechanics, Soft Condensed Matter
Bibliographic citation
Physical Review E 73, 015103(R) (2006)