Quantum-Mechanical Random-Phase-Approximation Calculation of the Surface-Plasmon Dispersion Relation for a Semi-Infinite Electron Gas

1971 ◽  
Vol 4 (5) ◽  
pp. 1555-1560 ◽  
Author(s):  
D. E. Beck
Keyword(s):  
Dispersion Relation ◽  
Surface Plasmon ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Electron Gas ◽  
Quantum Mechanical ◽  
Phase Approximation ◽  
Approximation Calculation ◽  
Plasmon Dispersion

scholarly journals Особенности распространения плазмонов в графеновом бислое в условиях поперечного электрического поля

2020 ◽  
Vol 62 (1) ◽  
pp. 153
Author(s):  
Е.И. Кухарь ◽  
С.В. Крючков
Keyword(s):  
Dispersion Relation ◽  
Dispersion Curve ◽  
Bias Voltage ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Plasma Waves ◽  
Phase Approximation ◽  
Plasmon Energy ◽  
Graphene Bilayer ◽  
Plasmon Dispersion

Dispersion relation for plasma waves in graphene bilayer has been investigated. Influence of the bias voltage on the dispersion curve for plasmon in bigraphene has been studied within random phase approximation. The possibility of controlling of energy and group velocity for plasmon by changing of bias voltage has been shown. The dependence of plasmon energy on the bias voltage has been predicted to have the nonmonotonous character. Effect of the temperature on the plasmon dispersion has been analyzed.

Systematic inclusion of the effect of an arbitrary surface profile on the dispersion of surface plasmons

1981 ◽  
Vol 59 (4) ◽  
pp. 540-547 ◽  
Author(s):  
P. Summerside ◽  
B. V. Paranjape
Keyword(s):  
Surface Plasmon ◽  
Random Phase Approximation ◽  
Iterative Scheme ◽  
Random Phase ◽  
Surface Profile ◽  
Step Function ◽  
Surface Diffuseness ◽  
Classical Boltzmann Equation ◽  
Plasmon Dispersion ◽  
Effect Of Surface

The classical Boltzmann equation approach is developed to systematically include the effect of surface diffuseness in the random phase approximation (RPA) surface plasmon dispersion relation. This is achieved by the introduction of an arbitrary surface potential energy barrier into the distribution function. The resulting Fourier-transformed, linearized equation is solved by a perturbative-iterative scheme based on an expansion of the response function beyond the usual step-function form. The surface plasmon dispersion curves obtained lend support to the more recent experimental results which indicate an almost flat to slightly increasing small wavenumber behaviour. Noticeable dipping of the curves only occurs for broad surface regions, suggestive of surface contamination.

DIELECTRIC THEORY OF PLASMA OSCILLATIONS AND ITS EXTENSION TO THE EXCITON PROBLEM

1963 ◽  
Vol 41 (9) ◽  
pp. 1470-1481
Author(s):  
C. Horie
Keyword(s):  
Dispersion Relation ◽  
Charge Density ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Phase Approximation ◽  
Correlation Effects ◽  
Plasma Oscillations ◽  
Local Charge ◽  
New Form ◽  
Plasma Problem

A new form of the microscopic expression for the dielectric constant is derived and used to obtain the dispersion relation for plasma modes. It is found that the usual dispersion relation for plasma modes derived using the random phase approximation contains higher-order correlation effects than is usually believed. The dielectric approach to the plasma problem is extended to the exciton problem by introducing a nonlocal charge density instead of the local charge density appearing in the case of the plasma modes. The same equation determining the energy of the exciton states as derived in a previous paper is obtained.

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