Electrostatics in periodic boundary conditions and real-space corrections

Ismaila Dabo, Boris Kozinsky, Nicholas E. Singh-Miller, Nicola Marzari

Research output: Contribution to journalArticle

76 Citations (Scopus)

Abstract

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 from a Fourier transform, and the potential satisfying any other boundary conditions can be characterized analytically. In light of this observation, we present an efficient real-space method to correct periodic-image errors, based on a multigrid solver for the potential difference, and demonstrate that excellent convergence of the energy with respect to cell size can be achieved in practical calculations. Additionally, we derive rapidly convergent expansions for determining the Madelung constants of point-charge assemblies in one, two, and three dimensions.

Original languageEnglish (US)
Article number115139
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume77
Issue number11
DOIs
StatePublished - Mar 27 2008

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Electrostatics
Boundary conditions
electrostatics
boundary conditions
Fourier transforms
assemblies
periodic variations
expansion
cells
energy

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Dabo, Ismaila ; Kozinsky, Boris ; Singh-Miller, Nicholas E. ; Marzari, Nicola. / Electrostatics in periodic boundary conditions and real-space corrections. In: Physical Review B - Condensed Matter and Materials Physics. 2008 ; Vol. 77, No. 11.
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Electrostatics in periodic boundary conditions and real-space corrections. / Dabo, Ismaila; Kozinsky, Boris; Singh-Miller, Nicholas E.; Marzari, Nicola.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 77, No. 11, 115139, 27.03.2008.

Research output: Contribution to journalArticle

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