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Related papers: Calculated Schwoebel barriers on Si(111) steps usi…

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We study driven atomic Josephson junctions realized by coupling two two-dimensional atomic clouds with a tunneling barrier. By moving the barrier at a constant velocity, dc and ac Josephson regimes are characterized by a zero and nonzero…

Quantum Gases · Physics 2025-03-31 Vijay Pal Singh , Juan Polo , Ludwig Mathey , Luigi Amico

Step meandering during growth of gallium nitride (0001) surface is studied using kinetic Monte Carlo method. Simulated growth process, conducted in N-rich conditions are therefore controlled by Ga atoms surface diffusion. The model employs…

Statistical Mechanics · Physics 2011-10-24 Magdalena A. Załuska-Kotur , Filip Krzyżewski , Stanisław Krukowski

We use analytic formulae obtained from a simple model of crystal growth by molecular--beam epitaxy to determine step--edge barriers to interlayer transport. The method is based on information about the surface morphology at the onset of…

Condensed Matter · Physics 2009-10-28 P. Šmilauer , S. Harris

A continuum model for growth of solids is developed, considering adatom deposition, surface diffusion, and configuration dependent incorporation rate. For amorphous solids it is related to surface energy densities. The high adatom density…

Statistical Mechanics · Physics 2007-05-23 Martin Rost

We consider the trapping reaction, $A+B\to B$, where $A$ and $B$ particles have a diffusive dynamics characterized by diffusion constants $D_A$ and $D_B$. The interaction with $B$ particles can be formally incorporated in an effective…

Statistical Mechanics · Physics 2009-11-10 L. Anton , R. A. Blythe , A. J. Bray

Configuration transitions of individual molecules and atoms on surfaces are traditionally described with energy barriers and attempt rates using an Arrhenius law. This approach yields consistent energy barrier values, but also attempt rates…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Jeffrey C. Gehrig , Marcos Penedo , Manfred Parschau , Johannes Schwenk , Miguel A. Marioni , Eric W. Hudson , Hans J. Hug

Step meandering instability in a Burton-Cabrera-Frank (BCF)-type model for the growth of an isolated, atomically high step on a crystal surface is analyzed. It is assumed that the growth is sustained by the molecular precursors deposition…

Materials Science · Physics 2015-06-18 Mikhail Khenner

We study a two-dimensional honeycomb lattice gas model with both nearest- and next-nearest-neighbor interactions in a staggered field, which describes the surface of stoichiometrically binary crystal. We calculate anisotropic step tension,…

Statistical Mechanics · Physics 2009-10-31 Noriko Akutsu , Yasuhiro Akutsu

The role played by a kinetic barrier originated by out-of-plane step edge diffusion, introduced in [Leal \textit{et al.}, \href{https://doi.org/10.1088/0953-8984/23/29/292201}{J. Phys. Condens. Matter \textbf{23}, 292201 (2011)}], is…

Statistical Mechanics · Physics 2019-04-24 Anderson J. Pereira , Sidiney G. Alves , Silvio C. Ferreira

The vicinal Si(111) surface, inclined towards the [-1-12] direction, was investigated by scanning tunnelling microscopy and spot profile analysing low energy electron diffraction. It has been established that the surface, consisting of…

Materials Science · Physics 2019-03-19 S. A. Teys , K. N. Romanyuk , R. A. Zhachuk , B. Z. Olshanetsky

We study the Schr\"odinger equation $i\partial_t\psi=-\Delta\psi+V\psi$ on $L^2((0,1),\mathbb{C})$ where $V$ is a very high and localized potential wall. We aim to perform permutations of the eigenmodes and to control the solution of the…

Optimization and Control · Mathematics 2020-12-02 Alessandro Duca , Romain Joly , Dmitry Turaev

A flexible multi-parameter exactly solvable model of potential profile, containing an arbitrary number of continuous smoothly shaped barriers and wells, both equal or unequal, characterized by finite values and continuous profiles of the…

Materials Science · Physics 2015-05-13 Alexander Shvartsburg , Vladimir Kuzmiak , Guillaume Petite

Recent experiments have shown that steps on Si(113) surfaces self-organize into bunches due to a competition between long-range repulsive and short-range attractive interactions. Using empirical and tight-binding interatomic potentials, we…

Condensed Matter · Physics 2009-11-10 C. V. Ciobanu , D. T. Tambe , V. B. Shenoy , C. Z. Wang , K. M. Ho

As it is well known there may arise situations when an interaction between electrons is attractive. A weak attraction should manifest itself strongly in 1D systems, since it can create two-electron bound states. This paper interprets the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 V. V. Flambaum , M. Yu. Kuchiev

We present a systematic study of the atomic and electronic structure of the Si(111)-(5x2)-Au reconstruction using first-principles electronic structure calculations based on the density functional theory. We analyze the structural models…

Materials Science · Physics 2009-11-11 Sampsa Riikonen , Daniel Sanchez-Portal

The 2D layer Green function scattering method is used to calculate the energy of surface states and resonances at Gamma-bar for Al(111) for both below and above the vacuum level. The surface barrier potential is represented by an empirical…

Other Condensed Matter · Physics 2008-11-18 M. N. Read

In this work, we investigate the dynamics of plasma blobs in the edge of magnetic confinement devices using a full-f gyrokinetic particle-in-cell code with X-point geometry. In simulations, the evolution of a seeded blob is followed as it…

Plasma Physics · Physics 2023-07-18 Junyi Cheng , James Myra , Seung-Hoe Ku , Robert Hager , Choong-Seock Chang , Scott Parker

Based on Weizs\"acker-Skyrme (WS4) mass model, the fission barriers of nuclei are systematically studied. Considering the shell corrections, the macroscopic deformation energy and a phenomenological residual correction, the fission barrier…

Nuclear Theory · Physics 2024-07-22 Ning Wang , Liu Min

Homoepitaxial step-flow growth of high-quality $\beta$-Ga$_{2}$O$_{3}$ thin films is essential for the advancement of high-performance Ga$_{2}$O$_{3}$-based devices. In this work, the step-flow growth mechanism of $\beta$-Ga$_{2}$O$_{3}$…

Materials Science · Physics 2025-01-17 Qi Li , Junlei Zhao , Na Lin , Xiufeng Cheng , Xian Zhao , Zhaojun Liu , Zhitai Jia , Mengyuan Hua

We evaluate the electronic self-energy Sigma(E) at an Al(111) surface using the GW space-time method. This self-energy automatically includes the image potential V_{im} not present in any local-density approximation for exchange and…

Materials Science · Physics 2009-10-30 I. D. White , R. W. Godby , M. M. Rieger , R. J. Needs