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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

To understand the electronic shell- and supershell-structure in large metal clusters we have performed self-consistent calculations in the homogeneous, spherical jellium model for a variety of different materials. A scaling analysis of the…

Condensed Matter · Physics 2009-10-28 Erik Koch

Determination of defect ionization energy in low-dimensional semiconductors has been a long-standing unsolved problem in first-principles defect calculations because the commonly used methods based on jellium model introduce an unphysical…

Materials Science · Physics 2020-07-15 Guo-jun Zhu , Xin-Gao Gong , Ji-Hui Yang

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

We introduce a renormalized Jellium model to calculate the equation of state for charged colloidal suspensions. An almost perfect agreement with Monte Carlo simulations is found. Our self-consistent approach naturally allows to define the…

Soft Condensed Matter · Physics 2009-11-10 Emmanuel Trizac , Yan Levin

We examine first-order perturbative results based on jellium for the surface energy of slabs of simple metals, using various local pseudopotentials (Ashcroft, Heine-Abarenkov and evanescent core). The difference between the pseudopotential…

Materials Science · Physics 2009-10-31 C. Fiolhais , C. Henriques , I. Sarria , J. M. Pitarke

Local-spin-density functional calculations may be affected by severe errors when applied to the study of magnetic and strongly-correlated materials. Some of these faults can be traced back to the presence of the spurious self-interaction in…

Materials Science · Physics 2009-11-10 Alessio Filippetti , Nicola Spaldin

The calculation of self-energy corrections to the electron bands of a metal requires the evaluation of the intraband contribution to the polarizability in the small-q limit. When neglected, as in standard GW codes for semiconductors and…

Materials Science · Physics 2009-11-13 Marco Cazzaniga , Nicola Manini , Luca Guido Molinari , Giovanni Onida

The Becke-Johnson exchange potential [J. Chem. Phys. 124, 221101 (2006)] has been successfully used in electronic structure calculations within density-functional theory. However, in its original form the potential may dramatically fail in…

Materials Science · Physics 2010-01-28 E. Rasanen , S. Pittalis , C. Proetto

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 of charged defects have become a cornerstone of research in semiconductors and insulators by providing insights into their fundamental physical properties. But current standard approach using the so-called…

Materials Science · Physics 2020-04-22 Jin Xiao , Kaike Yang , Dan Guo , Tao Shen , Jun-Wei Luo , Shu-Shen Li , Su-Huai Wei , Hui-Xiong Deng

In this article, we introduce a general theoretical framework to analyze non-consistent approximations of the discrete eigenmodes of a self-adjoint operator. We focus in particular on the discrete eigenvalues laying in spectral gaps. We…

Functional Analysis · Mathematics 2012-05-03 Eric Cancès , Virginie Ehrlacher , Yvon Maday

A new repeated-slab calculation method is developed to simulate the electronic structures of charged surfaces by arranging density-variable charged sheets in vacuum regions to realize a constant potential on the charged sheets and maintain…

Materials Science · Physics 2007-05-23 Seiji Kajita , Takashi Nakayama , Maki Kawai

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

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

We address periodic-image errors arising from the use of periodic boundary conditions to describe systems that do not exhibit full three-dimensional periodicity. The difference between the periodic potential, as straightforwardly obtained…

Other Condensed Matter · Physics 2009-11-13 Ismaila Dabo , Boris Kozinsky , Nicholas E. Singh-Miller , Nicola Marzari

Plane wave density functional theory codes generally assume periodicity in all three dimensions. This causes difficulties when studying charged systems, for instance energies per unit cell become infinite, and, even after being renormalised…

Materials Science · Physics 2021-04-13 MJ Rutter

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

Continuum solvation methods can provide an accurate and inexpensive embedding of quantum simulations in liquid or complex dielectric environments. Notwithstanding a long history and manifold applications to isolated systems in open boundary…

Materials Science · Physics 2014-12-02 Oliviero Andreussi , Nicola Marzari

We report extensive self-consistent calculations of jellium surface energies, by going beyond the local-density approximation. The density-response function of a bounded free-electron gas is evaluated within the random-phase approximation,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , A. G. Eguiluz
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