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Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

Modeling potential alloys requires the exploration of all possible configurations of atoms. Additionally, modeling the thermal properties of materials requires knowledge of the possible ways of displacing the atoms. One solution to finding…

Materials Science · Physics 2017-01-11 Wiley S. Morgan , Gus L. W. Hart , Rodney W. Forcade

A correction method for vertical transition levels (VTLs) involving defect states calculated with a supercell technique is formulated and its effectiveness is systematically verified with ten defects in prototypical materials: cubic-BN,…

Materials Science · Physics 2020-01-29 Tomoya Gake , Yu Kumagai , Christoph Freysoldt , Fumiyasu Oba

Amorphous materials are solids that lack long-range atomic order but possess complex short- and medium-range order. Unlike crystalline materials that can be described by unit cells containing few up to hundreds of atoms, amorphous materials…

Machine Learning · Computer Science 2026-04-01 Yan Lin , Jonas A. Finkler , Tao Du , Jilin Hu , Morten M. Smedskjaer

We present a study of the self-interstitial point defect formation energies in silicon using a range of quantum chemical theories including the coupled cluster (CC) method within a periodic supercell approach. We study the formation…

Materials Science · Physics 2023-06-23 Faruk Salihbegović , Alejandro Gallo , Andreas Grüneis

Interacting defect systems are ubiquitous in materials under realistic scenarios, yet gaining an atomic-level understanding of these systems from a computational perspective is challenging - it often demands substantial resources due to the…

Materials Science · Physics 2024-03-21 Hao Yu

Point defects play a key role in determining semiconductor properties, such as electrical conductivity and photoluminescence, and often enable functional behavior. Accurate first-principles supercell simulations of point defects require…

Materials Science · Physics 2026-05-26 Abdul M. Reyes , Sebastian E. Reyes-Lillo , Eduardo Menéndez-Proupin

Discrete models of dislocations in cubic crystal lattices having one or two atoms per unit cell are proposed. These models have the standard linear anisotropic elasticity as their continuum limit and their main ingredients are the elastic…

Materials Science · Physics 2009-11-13 L. L. Bonilla , A. Carpio , I. Plans

In materials science, wedge disclinations are defects caused by angular mismatches in the crystallographic lattice. To describe such disclinations, we introduce an atomistic model in planar domains. This model is given by a…

Analysis of PDEs · Mathematics 2020-05-28 Pierluigi Cesana , Patrick van Meurs

While the forward and backward modeling of the process-structure-property chain has received a lot of attention from the materials community, fewer efforts have taken into consideration uncertainties. Those arise from a multitude of sources…

Machine Learning · Statistics 2021-08-06 Maximilian Rixner , Phaedon-Stelios Koutsourelakis

Point defects are a universal feature of crystalline materials. Their identification is often addressed by combining experimental measurements with theoretical models. The standard approach of simulating defects is, however, prone to…

Materials Science · Physics 2023-02-20 Irea Mosquera-Lois , Seán R. Kavanagh , Aron Walsh , David O. Scanlon

Adaptive atomistic/continuum (a/c) coupling method is an important method for the simulation of material and atomistic systems with defects to achieve the balance of accuracy and efficiency. Residual based a posteriori error estimator is…

Numerical Analysis · Mathematics 2022-11-28 Yangshuai Wang , Hao Wang

Determining the properties of solar-like oscillating stars can be subject to many biases. A particularly important example is the helium-mass degeneracy, where the uncertainties regarding the internal physics can cause a poor determination…

Solar and Stellar Astrophysics · Physics 2021-11-24 Pierre S. Houdayer , Daniel R. Reese , Marie-Jo Goupil , Yveline Lebreton

A brief history of the impurity theories in semiconductors is provided. A bound exciton model is proposed for both donor- and acceptor- like impurities and point defects, which offers a unified understanding for "shallow" and "deep"…

Materials Science · Physics 2020-06-02 Yong Zhang

Predicting material properties of disordered systems remains a long-standing and formidable challenge in rational materials design. To address this issue, we introduce an automated software framework capable of modeling partial occupation…

Materials Science · Physics 2015-11-16 Keson Yang , Corey Oses , Stefano Curtarolo

The problem of the low-energy highly-anharmonic quantum dynamics of isolated impurities in solids is addressed by using path-integral Monte Carlo simulations. Interstitial oxygen in silicon is studied as a prototypical example showing such…

Condensed Matter · Physics 2009-10-28 Rafael Ramirez , Carlos P. Herrero , Emilio Artacho , Felix Yndurain

We use computer simulations to investigate self-assembly in a system of model chaperonin proteins, and in an Ising lattice gas. We discuss the mechanisms responsible for rapid and efficient assembly in these systems, and we use measurements…

Soft Condensed Matter · Physics 2011-12-09 James Grant , Robert L. Jack , Stephen Whitelam

An equally spaced linear chain of ions provides a test-bed for studying the defect formation in a finite size 1D system. In particular, defect formation related to topological phase transition from a linear configuration to a zig-zag one is…

Soft Condensed Matter · Physics 2020-08-26 J. Pedregosa-Gutierrez , M. Mukherjee

We consider the problem of matching two shapes assuming these shapes are related by an elastic deformation. Using linearized elasticity theory and the finite element method we seek an elastic deformation that is caused by simple external…

Computer Vision and Pattern Recognition · Computer Science 2015-10-16 Konrad Simon , Ronen Basri

The presence of a point defect typically breaks the stoichiometry in a semiconductor. For example, a vacancy on an A-site in an AB compound makes the crystal B-rich. As the stoichiometry changes, so do the chemical potentials. While the…

Materials Science · Physics 2021-02-22 Yaxian Wang , Wolfgang Windl