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Zero-Point Energy of an Electron Lattice
Abstract
At very low densities an electron gas in a compensating uniform background of positive charge crystallizes into a bcc lattice for which the correlation energy per electron is (−1.792/rs) ry. At higher densities the first correction to this result arises from the zero-point energy of the electrons, which can be expanded in terms of the even moments of the frequency spectrum. We have computed the first five nonvanishing moments and have estimated the contribution to the zero-point energy from the remaining moments using their known asymptotic behavior. This procedure leads to the value (2.638/rs32) ry for the zero-point energy per electron. The low temperature specific heat per electron is found to be 56.21krs9/2· (kT)3 ry. The range of rs values for which these results should be valid is discussed on the basis of Lindemann's melting formula.
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Cited by
Accurate and simple analytic representation of the electron-gas correlation energy
Perdew, J. P., & Wang, Y. (1992) · Physical Review B · doi:10.1103/physrevb.45.13244 · Cited by 25,089
Electronic properties of two-dimensional systems
Ando, T., Fowler, A. B., & Stern, F. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.437 · Cited by 7,455
Pseudopotential methods in condensed matter applications
Pickett, W. E. (1989) · Computer Physics Reports · doi:10.1016/0167-7977(89)90002-6 · Cited by 915
Energy, Specific Heat, and Magnetic Properties of the Low-Density Electron Gas
Carr, W. J. (1961) · Physical Review · doi:10.1103/physrev.122.1437 · Cited by 349
Metadata
- Authors
- Coldwell-Horsfall, R. A., & Maradudin, A. A.
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1960-09-01
- Volume
- 1
- Issue
- 5
- Pages
- 395-404
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2027036873
- Cited by
- 281
- References
- 0
- FWCI
- 15.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- Coldwell-Horsfall, R. A., & Maradudin, A. A. (1960). Zero-Point Energy of an Electron Lattice. Journal of Mathematical Physics. https://doi.org/10.1063/1.1703670
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