@Article{ElderAchGraYinAla:2017:StHoTw,
               author = "Elder, K. R. and Achim, C. V. and Granato, Enzo and Ying, S. C. 
                         and Ala-Nissila, T.",
          affiliation = "{Oakland Universit} and {University of Concepci{\'o}n} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)} and {Brown 
                         University} and {Aalto University School of Science}",
                title = "Striped, honeycomb, and twisted moir{\'e} patterns in surface 
                         adsorption systems with highly degenerate commensurate ground 
                         states",
              journal = "Physical Review B",
                 year = "2017",
               volume = "96",
               number = "19",
                pages = "195439",
             keywords = "Adsorbed Systems, Computer Simulations, phase field crystal 
                         model.",
             abstract = "Atomistically thin adsorbate layers on surfaces with a lattice 
                         mismatch display complex spatial patterns and ordering due to 
                         strain-driven self-organization. In this work, a general formalism 
                         to model such ultrathin adsorption layers that properly takes into 
                         account the competition between strain and adhesion energy of the 
                         layers is presented. The model is based on the amplitude expansion 
                         of the two-dimensional phase field crystal (PFC) model, which 
                         retains atomistic length scales but allows relaxation of the 
                         layers at diffusive time scales. The specific systems considered 
                         here include cases where both the film and the adsorption 
                         potential can have either honeycomb (H) or triangular (T) 
                         symmetry. These systems include the so-called (1 × 1), (\√3 
                         × \√3) R30\◦, (2 × 2), (\√7 × \√7) 
                         R19.1\◦, and other higher order states that can contain a 
                         multitude of degenerate commensurate ground states. The relevant 
                         phase diagrams for many combinations of the H and T systems are 
                         mapped out as a function of adhesion strength and misfit strain. 
                         The coarsening patterns in some of these systems is also examined. 
                         The predictions are in good agreement with existing experimental 
                         data for selected strained ultrathin adsorption layers.",
                  doi = "10.1103/PhysRevB.96.195439",
                  url = "http://dx.doi.org/10.1103/PhysRevB.96.195439",
                 issn = "1098-0121",
                label = "lattes: 2370990773271434 3 ElderAchGraYinAla:2017:StHoTw",
             language = "en",
           targetfile = "elder_striped.pdf",
        urlaccessdate = "02 maio 2024"
}