RT Journal Article
T1 Dynamic renormalization group study of a generalized continuum model of crystalline surfaces
A1 Cuerno, Rodolfo
A1 Moro, Esteban
AB We apply the Nozières-Gallet dynamic renormalization group (RG) scheme to a continuum equilibrium model of a d-dimensional surface relaxing by linear surface tension and linear surface diffusion, and which is subject to a lattice potential favoring discrete values of the height variable. The model thus interpolates between the overdamped sine-Gordon model and a related continuum model of crystalline tensionless surfaces. The RG flow predicts the existence of an equilibrium roughening transition only for d=2 dimensional surfaces, between a flat low-temperature phase and a rough high-temperature phase in the Edwards-Wilkinson (EW) universality class. The surface is always in the flat phase for any other substrate dimensions d>2. For any value of d, the linear surface diffusion mechanism is an irrelevant perturbation of the linear surface tension mechanism, but may induce long crossovers within which the scaling properties of the linear molecular-beam epitaxy equation are observed, thus increasing the value of the sine-Gordon roughening temperature. This phenomenon originates in the nonlinear lattice potential, and is seen to occur even in the absence of a bare surface tension term. An important consequence of this is that a crystalline tensionless surface is asymptotically described at high temperatures by the EW universality class.
PB The American Physical Society
SN 1539-3755
YR 2002
FD 2002-01
LK https://hdl.handle.net/10016/6925
UL https://hdl.handle.net/10016/6925
LA eng
NO 12 pages, 5 figures.-- PACS nrs.: 68.35.Rh, 64.60.Ak, 64.60.Ht, 81.10.Aj.-- MSC2000 code: 82C28.
NO ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0110537
NO MR#: MR1877611
NO Final publisher version available Open Access at: http://gisc.uc3m.es/~cuerno/publ_list.html
NO E. M. aknowledges the EU Grant No. HPMF-CT-2000-0487. This research has been supported by EPSRC (UK) Grant No. GR/M04426, DGES (Spain) Grant No. HB1999-0018, and by MCyT (Spain) Grant No.BFM2000-0006.
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RD 30 jun. 2024