Vicinal Surface with Langmuir Adsorption: A Decorated Restricted Solid-on-solid Model

Abstract

We study the vicinal surface of the restricted solid-on-solid model coupled with the Langmuir adsorbates which we regard as two-dimensional lattice gas without lateral interaction. The effect of the vapor pressure of the adsorbates in the environmental phase is taken into consideration through the chemical potential. We calculate the surface free energy $f$, the adsorption coverage $\Theta$, the step tension $\gamma$, and the step stiffness $\tilde{\gamma }$ by the transfer matrix method combined with the density-matrix algorithm. Detailed step-density-dependence of $f$ and $\Theta$ is obtained. We draw the roughening transition curve in the plane of the temperature and the chemical potential of adsorbates. We find the multi-reentrant roughening transition accompanying the inverse roughening phenomena. We also find quasi-reentrant behavior in the step tension.

7 pages, 12 figures (png format), RevTeX 3.1, submitted to Phys. Rev. B

Cited by in corpus (9)

• The density-matrix renormalization group
• Premelting-Induced Smoothening of the Ice-Vapor Interface
• Phase diagram of step faceting for sticky steps
• Product Wave Function Renormalization Group: construction from the matrix product point of view
• Structure and water attachment rates of ice in the atmosphere: role of nitrogen
• A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
• Two-Site shift Product Wave Function Renormalization Group Method Applied to Quantum Systems
• Crossover from BKT-Rough to KPZ-Rough Surfaces for Interface-Limited Crystal Growth/Recession
• Interfacial Line Energy of a Topological Phase