Nearsightedness of electronic matter
Open accessAbstract
In an earlier paper, W. Kohn had qualitatively introduced the concept of “nearsightedness” of electrons in many-atom systems. It can be viewed as underlying such important ideas as Pauling's “chemical bond,” “transferability,” and Yang's computational principle of “divide and conquer.” It describes the fact that, for fixed chemical potential, local electronic properties, such as the density n ( r ), depend significantly on the effective external potential only at nearby points. Changes of that potential, no matter how large , beyond a distance R have limited effects on local electronic properties, which rapidly tend to zero as a function of R. In the present paper, the concept is first sharpened for representative models of uncharged fermions moving in external potentials, and then the effects of electron–electron interactions and of perturbing external charges are discussed.
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The majority of excited-state calculations are based on many-body perturbation theory (e.g., G0W0, self-consistent GW, BSE, DMFT) and are performed on top of a DFT calculation, which provides the starting point.
“The majority of excited-states calculations are based on many-body perturbation theory (MBPT), e.g. G 0 W 0 and self-consistent GW [31-33], the Bethe-Salpeter equation (BSE) [34], or dynamical mean field theory (DMFT) [35], and are performed on-top of a DFT calculation, which provides the starting point for both self-consistent and one-shot approaches.”
From Precision and efficiency in solid-state pseudopotential calculations (2018) · cites this paper as [31]
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- Authors
- Prodan, E., & Kohn, W.
- Affiliations
- University of Southern California (US)
- ORCID
- Prodan, E.
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2005-08-08
- Volume
- 102
- Issue
- 33
- Pages
- 11635-11638
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- PMC
- PMC1188007
- OpenAlex
- W2142501550
- Cited by
- 551
- References
- 21
- Citations by year
- 2026: 43 · 2025: 37 · 2024: 55 · 2023: 50 · 2022: 45 · 2021: 36 · 2020: 40 · 2019: 28 · 2018: 39 · 2017: 25 · 2016: 27 · 2015: 19 · 2014: 28 · 2013: 15 · 2012: 8
- FWCI
- 5.94
- Type
- journal article
- Language
- en
- Open access
- green
- europepmc.org
- Locations
- Proceedings of the National Academy of Sciences (publishedVersion)
- Europe PMC (PubMed Central) (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Keywords
- electron density, chemical bonding, transferability, electron-electron interaction, external potential, local electronic properties
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