Abstract
The dielectric functions of electron liquids which take into account short-range electron-electron correlations via the static local-field corrections are examined in the light of the frequency-moment sum rules. The formulation is given for degenerate as well as classical electron liquids in arbitrary ($d$) spatial dimensions, which is suitable for comparison between the two- and three-dimensional cases. By using the virial equations of state it is shown that such dielectric functions cannot satisfy the compressibility sum rule and the third-frequency-moment sum rule simultaneously. In the degenerate case, the plasmon, single-pair, and multipair contributions to the sum rules are analyzed, and the reason for this incompatibility is discussed.
Keywords
Sum rule in quantum mechanicsDegenerate energy levelsElectronLocal fieldPhysicsMoment (physics)PlasmonVirial theoremField (mathematics)Quantum mechanicsRange (aeronautics)Quantum electrodynamicsDielectricCondensed matter physicsMathematicsMaterials sciencePure mathematics
Affiliated Institutions
Related Publications
Dielectric Absorption in Polar Media and the Local Field
The phenomena of dielectric dispersion and absorption in polar liquids subject to applied high frequency electrical fields are discussed on the basis of a modified Onsager theor...
Dielectric function of the uniform electron gas for large frequencies or wave vectors
The dielectric function of a uniform electron gas is studied on the basis of the dynamical equations which govern the response of the system to a weak external field. The deviat...
Force Field Benchmark of Organic Liquids: Density, Enthalpy of Vaporization, Heat Capacities, Surface Tension, Isothermal Compressibility, Volumetric Expansion Coefficient, and Dielectric Constant
The chemical composition of small organic molecules is often very similar to amino acid side chains or the bases in nucleic acids, and hence there is no a priori reason why a mo...
Experimental Investigations of Magneto-Hydrodynamic Waves
The importance of magneto-hydrodynamic phenomena to different parts of cosmic physics is becoming more and more evident. This fact and the extreme mathematical difficulties invo...
A Bond Path: A Universal Indicator of Bonded Interactions
The quantum mechanics of proper open systems yields the physics that governs the local behavior of the electron density, ρ(r). The Ehrenfest force F(r) acting on an element of ρ...
Publication Info
- Year
- 1984
- Type
- article
- Volume
- 30
- Issue
- 6
- Pages
- 3289-3304
- Citations
- 85
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
85
OpenAlex
Cite This
Naoki Iwamoto
(1984).
Sum rules and static local-field corrections of electron liquids in two and three dimensions.
Physical review. A, General physics
, 30
(6)
, 3289-3304.
https://doi.org/10.1103/physreva.30.3289
Identifiers
- DOI
- 10.1103/physreva.30.3289