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Conventional vapor deposition or epitaxial growth of two-dimensional (2D) materials and heterostructures is conducted in a large chamber in which masses transport from the source to the substrate. Here we report a chamber-free, on-chip…

Short time existence for a surface diffusion evolution equation with curvature regularization is proved in the context of epitaxially strained three-dimensional films. This is achieved by implementing a minimizing movement scheme, which is…

Analysis of PDEs · Mathematics 2016-01-20 Irene Fonseca , Nicola Fusco , Giovanni Leoni , Massimiliano Morini

In this paper a simple (2+1) solid-on-solid model of the epitaxial films growth based on random deposition followed by breaking particle-particle lateral bonds and particles surface diffusion is introduced. The influence of the critical…

Materials Science · Physics 2007-05-23 R. Kosturek , K. Malarz

We propose a physical model which explains the existence of finite thickness wetting layers in epitaxially strained films. The finite wetting layer is shown to be stable due to the variation of the non-linear elastic free energy with film…

Materials Science · Physics 2009-10-31 Helen R. Eisenberg , Daniel kandel

The epitaxial growth process of a high symmetry surface occurs because adatoms meet and nucleate new islands, that eventually coalesce and complete atomic layers. During multilayer growth, nucleation usually takes place on top of terraces…

Statistical Mechanics · Physics 2007-05-23 Paolo Politi , Claudio Castellano

We present a model in which pit nucleation in thin films is considered to arise from a near-equilibrium nucleation process. In this model the adatom concentration plays a central role in controlling the morphological development of the…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Joanna Mirecki Millunchick , Michael L. Falk

Two-dimensional (2D) materials have received extensive research attentions over the past two decades due to their intriguing physical properties (such as the ultrahigh mobility and strong light-matter interaction at atomic thickness) and a…

Materials Science · Physics 2023-10-16 Zhibin Zhang , Stiven Forti , Wanqing Meng , Sergio Pezzini , Zehua Hu , Camilla Coletti , Xinran Wang , Kaihui Liu

We describe laboratory-grown snow crystals that exhibit a triangular, plate-like morphology, and we show that the occurrence of these crystals is much more frequent than one would expect from random growth perturbations of the more-typical…

Materials Science · Physics 2009-11-24 K. G. Libbrecht , H. M. Arnold

We study numerically the equilibrium shapes, shape transitions and dislocation nucleation of small strained epitaxial islands with a two-dimensional atomistic model, using simple interatomic pair potentials. We first map out the phase…

Materials Science · Physics 2007-05-23 J. Jalkanen , O. Trushin , E. Granato , S. C. Ying , T. Ala-Nissila

The growth and characterization of epitaxial Co3O4(111) films grown by oxygen plasma-assisted molecular beam epitaxy on single crystalline a-Al2O3(0001) is reported. The Co3O4(111) grows single crystalline with the epitaxial relation…

Materials Science · Physics 2010-03-09 C. A. F. Vaz , V. E. Henrich , C. H. Ahn , E. I. Altman

The growth of quasicrystals, i.e., aperiodic structures with long-range order, seeded from the melt is investigated using a dynamical phase field crystal model. Depending on the thermodynamic conditions, two different growth modes are…

Soft Condensed Matter · Physics 2014-07-31 C. V. Achim , M. Schmiedeberg , H. Löwen

Metallic films are important in catalysis, magneto-optic storage media, and interconnects in microelectronics, and it is crucial to predict and control their morphologies. The evolution of a growing crystal is determined by the behavior of…

Materials Science · Physics 2016-11-03 C. Ratsch , P. Ruggerone , M. Scheffler

The world of two-dimensional crystals is of great significance for the design and study of structural and functional materials with novel properties. The world of two-dimensional crystals is of great significance for the design and study of…

Materials Science · Physics 2015-06-16 Simiso Mkhonta , Ken Elder , Zhi-Feng Huang

We investigate the influence of intermixing on heteroepitaxial growth dynamics, using a two-dimensional point island model, expected to be a good approximation in the early stages of epitaxy. In this model, which we explore both…

Statistical Mechanics · Physics 2015-06-22 K. I. Mazzitello , L. M. Delgado , J. L. Iguain

In complex crystals close to melting or at finite temperatures, different types of defects are ubiquitous and their role becomes relevant in the mechanical response of these solids. Conventional elasticity theory fails to provide a…

We show that nonlinear continuum elasticity can be effective in modeling plastic flows in crystals if it is viewed as Landau theory with an infinite number of equivalent energy wells whose configuration is dictated by the symmetry group…

Materials Science · Physics 2019-11-20 R. Baggio , E. Arbib , P. Biscari , S. Conti , L. Truskinovsky , G. Zanzotto , O. U. Salman

Achieving deterministic placement of self-assembled quantum dots (QDs) during epitaxial growth is essential for the reliable and efficient fabrication of high-quality single-photon sources and solid-state cavity quantum electrodynamics…

Materials Science · Physics 2025-11-26 Zihang Wang , Dirk Bouwmeester

This review introduces the elasticity theory of two-dimensional crystals and nematic liquid crystals on curved surfaces, the energetics of topological defects (disclinations, dislocations and pleats) in these ordered phases, and the…

Soft Condensed Matter · Physics 2014-01-21 Vinzenz Koning , Vincenzo Vitelli

Interface energy and kinetic coefficient of crystal growth strongly depend on the face of the crystalline lattice. To investigate the kinetic anisotropy and velocity of different crystallographic faces we use the hyperbolic (modified) phase…

Materials Science · Physics 2020-04-03 Vladimir Ankudinov , Peter K. Galenko

In this paper we present two atomistic models for the energy of a one-dimensional elastic crystal. We assume that the macroscopic displacement equals the microscopic one. The energy of the first model is given by a two-body interaction…

Mathematical Physics · Physics 2008-08-15 Carlos Mora-Corral