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Modeling point defects at an atomic scale requires careful treatment of the long-range atomic relaxations. This elastic field can strongly affect point defect properties calculated in atomistic simulations because of the finite size of the…

Materials Science · Physics 2013-10-23 Céline Varvenne , Fabien Bruneval , Mihai-Cosmin Marinica , Emmanuel Clouet

The mechanism determining the band alignment of the amorphous/crystalline Si heterostructures is addressed with direct atomistic simulations of the interface performed using a hierarchical combination of various computational schemes…

Materials Science · Physics 2016-08-31 Maria Peressi , Luciano Colombo , Stefano de Gironcoli

We present a coupled atomistic-continuum method for the modeling of defects and interface dynamics of crystalline materials. The method uses atomistic models such as molecular dynamics near defects and interfaces, and continuum models away…

Materials Science · Physics 2009-11-07 Weinan E , Zhongyi Huang

The application of hybrid composites in lightweight engineering enables the combination of material-specific advantages of fiber-reinforced polymers and classical metals. The interface between the connected materials is of particular…

Applied Physics · Physics 2021-08-19 Franz Hirsch , Erik Natkowski , Markus Kästner

Machine learning interatomic potentials (MLIPs) can now reproduce the energy, forces and stresses of bulk materials with high accuracy compared to first-principles calculations. The description of imperfections, where coordination…

Materials Science · Physics 2026-03-06 Xinwei Wang , Irea Mosquera-Lois , Aron Walsh

The bias dependent interface charge is considered as the origin of the observed non-ideality in current-voltage and capacitance-voltage characteristics. Using the simplified model for the interface electronic structure based on defects…

Materials Science · Physics 2009-11-10 Dean Korosak , Bruno Cvikl

We review recent machine-learning (ML) approaches for point defects in non-metallic materials, with an emphasis on defect formation energies. Existing studies largely fall into two categories: direct ML models that predict defect energetics…

Materials Science · Physics 2026-05-19 Yu Kumagai , Shin Kiyohara

Density functional theory calculations have been performed to study the structures and energetics of coherent and semicoherent TiC/Fe interfaces. A systematic method for determining the interfacial energy for the semicoherent interface with…

Materials Science · Physics 2018-04-10 Song Lu , John Ågren , Levente Vitos

We develop an empirical potential for silicon which represents a considerable improvement over existing models in describing local bonding for bulk defects and disordered phases. The model consists of two- and three-body interactions with…

Materials Science · Physics 2016-08-31 Joao F. Justo , Martin Z. Bazant , Efthimios Kaxiras , V. V. Bulatov , Sidney Yip

Point defects have a strong influence on the physical properties of materials, often dominating the electronic and optical behavior in semiconductors and insulators. The simulation and analysis of point defects is therefore crucial for…

Materials Science · Physics 2024-03-12 Jimmy-Xuan Shen , Lars F. Voss , Joel Basile Varley

Ab initio simulations of dislocations are essential to build quantitative models of material strength, but the required system sizes are often at or beyond the limit of existing methods. Many important structures are thus missing in the…

Metal-semiconductor contacts are a pillar of modern semiconductor technology. Historically, their microscopic understanding has been hampered by the inability of traditional analytical and numerical methods to fully capture the complex…

Materials Science · Physics 2016-04-13 Daniele Stradi , Umberto Martinez , Anders Blom , Mads Brandbyge , Kurt Stokbro

A key starting assumption in many classical interatomic potential models for materials is a site energy decomposition of the potential energy surface into contributions that only depend on a small neighbourhood. Under a natural stability…

Mathematical Physics · Physics 2020-09-10 Jack Thomas

We develop and analyze a framework for consistent QM/MM (quantum/classic) hybrid models of crystalline defects, which admits general atomistic interactions including traditional off-the-shell interatomic potentials as well as state of art…

Numerical Analysis · Mathematics 2021-08-05 Huajie Chen , Christoph Ortner , Yangshuai Wang

In this paper, we study a modified residual-based a posteriori error estimator for the nonconforming linear finite element approximation to the interface problem. The reliability of the estimator is analyzed by a new and direct approach…

Numerical Analysis · Mathematics 2016-11-23 Zhiqiang Cai , Cuiyu He , Shun Zhang

We study unique continuation over an interface using a stabilized unfitted finite element method tailored to the conditional stability of the problem. The interface is approximated using an isoparametric transformation of the background…

Numerical Analysis · Mathematics 2024-08-19 Erik Burman , Janosch Preuss

In this article, we study superconvergence properties of immersed finite element methods for the one dimensional elliptic interface problem. Due to low global regularity of the solution, classical superconvergence phenomenon for finite…

Numerical Analysis · Mathematics 2017-02-16 Waixiang Cao , Xu Zhang , Zhimin Zhang

We propose a new nonconforming \(P_1\) finite element method for elliptic interface problems. The method is constructed on a locally anisotropic mixed mesh, which is generated by fitting the interface through a simple connection of…

Numerical Analysis · Mathematics 2025-10-08 Chenchen Geng , Hua Wang , Qichen Zhang

We formulate a model for a point defect embedded in a homogeneous multilattice crystal with an empirical interatomic potential interaction. Under a natural, phonon stability assumption we quantify the decay of the long-range elastic fields…

Analysis of PDEs · Mathematics 2016-10-03 Derek Olson , Christoph Ortner

Quantifying the population of nanoscale defects that are formed in metals and alloys exposed to extreme radiation environments remains a pressing challenge in materials science. These defects both fundamentally alter material properties and…

Materials Science · Physics 2022-04-26 Charles A. Hirst , Cody A. Dennett
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