首页|Dispersion Relations of Longitudinal Plasmons in One, Two and Three Dimensional Electron Gas of Metals
Dispersion Relations of Longitudinal Plasmons in One, Two and Three Dimensional Electron Gas of Metals
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The longitudinal plasmons are the electrostatic collective excitations of the solid electron gas. In this paper, the dispersion relations of these plasmons for one-, two- and three-dimensional electron gas are compactly derived in two approaches with uniform disturbed Coulomb potentials. The first approach is adopted usually in solid state theory that is the so-called random phase approximation (RPA) with the Lindhard dielectric function in the long-wavelength and high-frequency limits. The second method is a typical plasma fluid description that includes the electron fluid equations with the adiabatic process in the jellium model. The disturbed electrostatic (Coulomb) potential produced by the oscillation of electron density is dimensionally dependent and derived from the Poisson equation in Appendix B.
plasmon dispersion relationlow-dimensional electron gaslow-dimensional electrostatic potential
KONG Linghua、YAN Baorong、HU Xiwei
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College of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
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