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One of the main sources of error associated with the calculation of defect formation energies using plane-wave Density Functional Theory (DFT) is finite size error resulting from the use of relatively small simulation cells and periodic…

Materials Science · Physics 2015-06-15 Samuel T. Murphy , Nicholas D. M. Hine

Density Functional Theory (DFT) is one of the most widely used methods for "ab initio" calculations of the structure of atoms, molecules, crystals, surfaces, and their interactions. Unfortunately, the customary introduction to DFT is often…

Physics Education · Physics 2010-12-07 Nathan Argaman , Guy Makov

Molecular crystals play a central role in a wide range of scientific fields, including pharmaceuticals and organic semiconductor devices. However, they are challenging systems to model accurately with computational approaches because of a…

Materials Science · Physics 2025-01-08 Flaviano Della Pia , Andrea Zen , Dario Alfè , Angelos Michaelides

Density functional theory (DFT) is an essential building block for modern theoretical physics, chemistry, and engineering, especially those concerning electronic properties. Through decades of development, various program packages for…

Materials Science · Physics 2022-11-21 Yusuke Nomura , Ryosuke Akashi

Stable or metastable crystal structures of assembled atoms can be predicted by finding the global or local minima of the energy surface within a broad space of atomic configurations. Generally, this requires repeated first-principles energy…

A methodology for calculating the contribution of charged defects to the configurational free energy of an ionic crystal is introduced. The temperature-independent Wang-Landau Monte Carlo technique is applied to a simple model of a solid…

Materials Science · Physics 2015-06-16 Robert M. Horton , Andrew J. Haslam , Amparo Galindo , George Jackson , Michael W. Finnis

Electromechanics in fluids describes the response of the number density to electric fields, and thus provides a powerful means by which to control the behavior of liquids. While continuum approaches have proven successful in describing…

Soft Condensed Matter · Physics 2025-07-10 Anna T. Bui , Stephen J. Cox

Boosted by the relentless increase of available computational resources, high-throughput calculations based on first principles methods have become a powerful tool to screen a huge range of materials. The backbone of these studies are…

Materials Science · Physics 2022-03-23 Holger-Dietrich Saßnick , Caterina Cocchi

Standard forms of density-functional theory (DFT) have good predictive power for many materials, but are not yet fully satisfactory for solid, liquid and cluster forms of water. We use a many-body separation of the total energy into its…

Materials Science · Physics 2013-03-05 M. J. Gillan , D. Alfè , A. P. Bartók , G. Csányi

Solid-state ionic conduction is a key enabler of electrochemical energy storage and conversion. The mechanistic connections between material processing, defect chemistry, transport dynamics, and practical performance are of considerable…

Materials Science · Physics 2022-08-04 Andrey D. Poletayev , James A. Dawson , M. Saiful Islam , Aaron M. Lindenberg

We investigate the formation of polycrystalline structures in a class of particle systems. The atomistic energy is modeled as a sum of particle energies that favor atoms being locally isometric to a reference lattice. The discrete frame…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Leonard Kreutz , Timo Ziereis

The point defect thermodynamics in a general family of binary compounds, including B2 compounds as a specific representative, are classified by way of two non-trivial energy parameters. The scheme is applied to published ab initio defect…

Materials Science · Physics 2015-03-13 Michael Leitner

Two dimensional (2D) transition-metal dichalcogenide (TMD) based semiconductors have generated intense recent interest due to their novel optical and electronic properties, and potential for applications. In this work, we characterize the…

We develop a rigorous error analysis for coarse-graining of defect-formation free energy. For a one-dimensional constrained atomistic system, we establish the thermodynamic limit of the defect-formation free energy and obtain explicitly the…

Numerical Analysis · Mathematics 2016-03-10 Matthew Dobson , Manh Hong Duong , Christoph Ortner

This work represents the first chapter of a project on the foundations of first-principle calculations of the electron transport in crystals at finite temperatures. We are interested in the range of temperatures, where most electronic…

Computational Physics · Physics 2018-04-04 Thomas D. Kühne , Emil Prodan

Describing the deviation of a real structure from a hypothetical higher-symmetry ideal can be a powerful tool to understand and interpret phase transitions. Here we introduce a simple yet effective metric that quantifies the degree of unit…

Materials Science · Physics 2025-08-05 Shannon Bernier , Gregory Bassen , Matthew Brem , Davor Tolj , Quentin Simmons , Tyrel M. McQueen

The different point defects formed by two hydrogen atoms or two helium atoms in tungsten were investigated through first-principles calculation. The energetically favorable site for a hydrogen atom is tetrahedral interstitial site while…

Materials Science · Physics 2017-10-16 Qiang Zhao , Zheng Zhang , Yang Li , Xiao-Ping Ouyang

The presence of defects in solids formed by active particles breaks their discrete translational symmetry. As a consequence, many of their properties become space-dependent and different from those characterizing perfectly ordered…

Statistical Mechanics · Physics 2023-11-08 Lorenzo Caprini , Hartmut Löwen , Umberto Marini Bettolo Marconi

Efficient exploration of the vast chemical space is a fundamental challenge in materials design and discovery, particularly for designing functional inorganic crystalline materials with targeted properties. Diffusion-based generative models…

Materials Science · Physics 2026-03-20 Sourav Mal , Nehad Ahmed , Junaid Jami , Subhankar Mishra , Prasenjit Sen

We propose a microscopic, first-principles description of the ionic conduction in crystals. This formalism allows us to gain new insights into the ideal characteristics of general ionic conducting materials and, in particular, solid…

Materials Science · Physics 2021-11-05 Aleksandr Rodin , Keian Noori , Alexandra Carvalho , Antonio Helio Castro Neto
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