Self-consistent effective-mass theory for intralayer screening in graphite intercalation compounds
Abstract
The effective-mass-approximation differential equations appropriate for impurities in a graphite host are constructed and are used to solve self-consistently for the screening response surrounding a single intercalant atom. The screening cloud is found to have a very slow algebraic decay with a characteristic length of 3.8 \AA{} in the case studied. This rather long length is due to both the semimetallic and the two-dimensional character of graphite. A Thomas-Fermi description of screening is found to be adequate, but a linear-response theory is not. From these results we conclude that the transferred charge in alkali-metal---graphite intercalation compounds is distributed nearly homogeneously on a carbon plane. We discuss recent theoretical and experimental work in light of these results.
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In single and bilayer graphene, the appearance of oscillatory motion of the electron related to the Zitterbewegung was pointed out by Katsnelson.
“Both in single and bilayer graphene the appearance of the oscillatory motion of the electron related to the ZB was pointed out by Katsnelson [23].”
From Unified description of<i>Zitterbewegung</i>for spintronic, graphene, and superconducting systems (2006) · cites this paper as [23]
The Zitterbewegung is related to the non-trivial behavior of the conductivity of single and bilayer graphenes because the velocity operator (2a) does not commute with the Hamiltonian (1).
“Finally, it should be mentioned that the ZB is related to the non-trivial behavior of the conductivity of single and bilayer graphenes [23] since the velocity operator (2a) does not commute with the Hamiltonian (1).”
From Unified description of<i>Zitterbewegung</i>for spintronic, graphene, and superconducting systems (2006) · cites this paper as [23]
The current operator in graphene systems splits into three terms, the last of which can be associated with the Zitterbewegung phenomenon.
“The current operator in graphene systems splits into three terms of which the last one can be associated with the ZB phenomenon [23].”
From Unified description of<i>Zitterbewegung</i>for spintronic, graphene, and superconducting systems (2006) · cites this paper as [23]
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- Authors
- DiVincenzo, D. P., & Mele, E. J.
- Affiliations
- University of Pennsylvania (US)
- ORCID
- DiVincenzo, D. P.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1984-02-15
- Volume
- 29
- Issue
- 4
- Pages
- 1685-1694
- ISSN
- 0163-1829 (ISSN-L)
- OpenAlex
- W1987403044
- Cited by
- 682
- References
- 29
- Citations by year
- 2026: 7 · 2025: 9 · 2024: 11 · 2023: 10 · 2022: 13 · 2021: 21 · 2020: 23 · 2019: 26 · 2018: 29 · 2017: 29 · 2016: 30 · 2015: 34 · 2014: 32 · 2013: 54 · 2012: 37
- FWCI
- 4.89
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. B, Condensed matter (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Graphene research and applications
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Physics of Superconductivity and Magnetism
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Chemical Physics Studies
- Keywords
- graphite intercalation compounds, effective mass approximation, self-consistent screening, impurity screening, Thomas-Fermi screening, linear response theory, charge transfer, two-dimensional electron systems
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