RT Journal Article
T1 Equilibrium roughening transition in a one-dimensional modified sine-Gordon model
A1 Ares, Saúl
A1 Sánchez, Angel
AB We present a modified version of the one-dimensional sine-Gordon model that exhibits a thermodynamic,roughening phase transition, in analogy with the two-dimensional usual sine-Gordon model. The model issuited to study the crystalline growth over an impenetrable substrate and to describe the wetting transition ofa liquid that forms layers. We use the transfer integral technique to write down the pseudo-Schrödingerequation for the model, which allows us to obtain some analytical insight, and to compute numerically the freeenergy from the exact transfer operator. We compare the results with Monte Carlo simulations of the model,finding a perfect agreement between both procedures.We thus establish that the model shows a phase transitionbetween a low-temperature flat phase with intriguing nontrivial properties and a high-temperature rough one.The fact that the model is one-dimensional and that it has a true phase transition makes it an ideal frameworkfor further studies of roughening phase transitions.
PB American Physical Society
SN 1539-3755 (print version)
SN 1550-2376 (online version)
YR 2004
FD 2004
LK https://hdl.handle.net/10016/14959
UL https://hdl.handle.net/10016/14959
LA eng
NO This work was supported by the Ministerio de Ciencia y Tecnología of Spain through Grant Nos. BFM2003-07749-C05-01 and FIS2004-01001.
DS e-Archivo
RD 18 may. 2024