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The errors arising in ab initio density functional theory studies of semiconductor point defects using the supercell approximation are analyzed. It is demonstrated that a) the leading finite size errors are inverse linear and inverse cubic…

Other Condensed Matter · Physics 2009-11-11 C. W. M. Castleton , A. Hoglund , S. Mirbt

There has been much interest over many years in studying charged systems after the artificial imposition of periodic boundary conditions, and correcting for the resulting divergence of the electrostatic energy density. A correction for…

Materials Science · Physics 2023-02-14 M. J. Rutter

We propose a new finite-size correction scheme for the formation energy of charged defects and impurities in one-dimensional systems within density functional theory. The energy correction in a supercell geometry is obtained by solving the…

Materials Science · Physics 2014-09-05 Sunghyun Kim , Ji-Sang Park , K. J. Chang

Defects on surfaces of semiconductors have a strong effect on their reactivity and catalytic properties. The concentration of different charge states of defects is determined by their formation energies. First-principles calculations are an…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Dmitry Vinichenko , M. Gokhan Sensoy , Cynthia M. Friend , Efthimios Kaxiras

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

In solid-state physics/chemistry, a precise understanding of defect formation and its impact on the electronic properties of wide-bandgap insulators is a cornerstone of modern semiconductor technology. However, complexities arise in the…

Materials Science · Physics 2023-07-11 Harshan Reddy Gopidi , Lovelesh Vashist , Oleksandr I. Malyi

An effective theory of the excited states of positronium is derived and some of its consequences are explored. At large physical separation, the binding of the electron and positron is assumed to be described completely by QED, whereas all…

High Energy Physics - Phenomenology · Physics 2022-06-07 David M. Jacobs

Convergence of the full energy (mass) of point charged particle by means of direct calculation is proved. The consideration is based on the strict solutions of nonlinear equations system of electrostatics and gravistatics in the classical…

Classical Physics · Physics 2012-10-05 A. Serdyukov , A. Yegorov

Starting from the total energy expressions within density functional theory, we are able to perform a comparison of several currently used charged-defect finite-size supercell correction schemes in a unified manner. This approach also…

Mesoscale and Nanoscale Physics · Physics 2009-06-09 Hannu-Pekka Komsa , Tapio T. Rantala

Finite-size corrections for charged defect supercell calculations typically consist of image-charge and potential alignment corrections. A wide variety of schemes for both corrections have been proposed for decades. Regarding the…

Materials Science · Physics 2014-05-28 Yu Kumagai , Fumiyasu Oba

First-principles calculations rely heavily on pseudopotentials, yet their impact on accuracy is hardly addressed. In this work, we show that most pseudopotentials to date introduce errors, which manifest themselves as errors of atomic…

Materials Science · Physics 2025-11-19 Kuiyu Ye , Jiale Shen , Haitao Liu , Yuanchang Li , S. B. Zhang

In materials science, point defects play a crucial role in materials properties. This is particularly well known for the wide band gap insulators where the defect formation/compensation determines the equilibrium Fermi level and generally…

Materials Science · Physics 2023-11-29 Harshan Reddy Gopidi , Lovelesh Vashist , Oleksandr I. Malyi

Diamond defects are among the most promising qubits. Modelling their properties through accurate quantum mechanical simulations can further their development into robust units of information. We use the recently developed capped density…

Quantum Physics · Physics 2026-03-23 John Mark P. Martirez

Recently, the successful synthesis of the pentagonal form of PdTe$_{2}$ monolayer (\emph{p}-PdTe$_{2}$) was reported [Liu~\emph{et al.}, Nature Materials \textbf{23}, 1339 (2024)]. In this work, we present an extensive first-principles…

Materials Science · Physics 2025-01-07 Poonam Sharma , Vaishali Roondhe , Alok Shukla

We propose a new microscopic model for the $\{001\}$ planar defects in diamond commonly called platelets. This model is based on the formation of a metastable stacking fault, which can occur because of the ability of carbon to stabilize in…

Materials Science · Physics 2009-11-10 C. R. Miranda , R. W. Nunes , A. Antonelli

Perhaps the simplest first-principles approach to electronic structure is to fit the charge distribution of each orbital pair and use those fits wherever they appear in the entire electron-electron (EE) interaction energy. The charge…

Chemical Physics · Physics 2015-11-10 Brett I Dunlap , Mark C Palenik

The role of defects in solids of mixed ionic-covalent bonds such as ferroelectric oxides is complex. Current understanding of defects on ferroelectric properties at the single-defect level remains mostly at the empirical level, and the…

Materials Science · Physics 2017-09-13 Shi Liu , R. E. Cohen

To date, computational methods for modeling defects (vacancies, adsorbates, etc.) rely on periodic supercells in which the defect is far enough from its repeated image such that they can be assumed non-interacting. Yet, the relative…

We find third-power nonlinear corrections to the Coulomb and other static electric fields, as well as to the electric and magnetic dipole fields, as we work within QED with no background field. The nonlinear response function we base our…

High Energy Physics - Theory · Physics 2013-10-30 Caio V. Costa , Dmitry M. Gitman , Anatoly E. Shabad

This work provides a self-consistent extension of the recently proposed density-based basis-set correction method for wave-function electronic-structure calculations [J. Chem. Phys. 149, 194301 (2018)]. In contrast to the previously used…

Classical Physics · Physics 2021-08-25 Emmanuel Giner , Diata Traore , Barthélemy Pradines , Julien Toulouse
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