Level mixing in free-electron systems for Aharonov-Bohm geometries without disorder

2000 ◽  
Vol 62 (7) ◽  
pp. 4222-4225
Author(s):  
J. Yi ◽  
Sung-Ik Lee
Keyword(s):  
Free Electron ◽  
Electron Systems ◽  
Aharonov Bohm

The study of the plasmon modes of square atomic clusters based on the eigen-oscillation equation of charge under the free-electron gas model

2018 ◽  
Vol 32 (11) ◽  
pp. 1850139 ◽  
Author(s):  
Hong-Jie Xue ◽  
Reng-Lai Wu ◽  
Cheng-Xi Hu ◽  
Ming Zhang
Keyword(s):  
Electric Fields ◽  
Free Electron ◽  
Electron Gas ◽  
Plasmon Mode ◽  
Atomic Clusters ◽  
Equation Method ◽  
Electron Systems ◽  
External Fields ◽  
Oscillation Equation ◽  
Plasmon Modes

In atomic clusters, plasmon modes are generally gained by the resonant responses for external fields. However, these resonant methods still carry some defects: some plasmon modes may not have been found as that may not have been excited by the external fields. Recently, by employing the extended Hubbard model to describe electron systems of atomic clusters, we have presented the eigen-oscillation equation of charge to study plasmon modes. In this work, based on the free-electron gas model, we further explore the eigen-equation method. Under different external electric fields, some of the plasmon mode spectrums with obvious differences are found, which display the defects of the resonant methods. All the plasmon modes obtained by the resonant methods are predicted by the eigen-equation method. This effectively shows that the eigen-equation method is feasible and reliable in the process of finding plasmon. In addition, various kinds of plasmons are displayed by charge distributions, and the evolution features of plasmon with system parameters are gained by the energy absorption spectrum.

Fermi Statistics of Two-Dimensional Free-Electron Systems

1964 ◽  
Vol 32 (10) ◽  
pp. 749-761 ◽  
Author(s):  
J. P. McKelvey ◽  
E. F. Pulver
Keyword(s):  
Free Electron ◽  
Two Dimensional ◽  
Electron Systems ◽  
Fermi Statistics

Self-organizing atom chains

2017 ◽  
Author(s):  
Arie van Houselt ◽  
Harold J.W. Zandvliet
Keyword(s):  
Free Electron ◽  
Electrostatic Interactions ◽  
Dimensional System ◽  
Electron Systems ◽  
Electron Model ◽  
One Dimensional ◽  
Free Electron Model ◽  
Peierls Instability ◽  
The One ◽  
Self Organizing

This article examines the intriguing physical properties of nanowires, with particular emphasis on self-organizing atom chains. It begins with an overview of the one-dimensional free electron model and some interesting phenomena of one-dimensional electron systems. It derives an expression for the 1D density of states, which exhibits a singularity at the bottom of the band and extends the free-electron model, taking into consideration a weak periodic potential that is induced by the lattice. It also describes the electrostatic interactions between the electrons and goes on to discuss two interesting features of 1D systems: the quantization of conductance and Peierls instability. Finally, the article presents the experimental results of a nearly ideal one-dimensional system, namely self-organizing platinum atom chains on a Ge(001) surface, focusing on their formation, quantum confinement between the Pt chains and the occurrence of a Peierls transition within the chains.

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