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.

The light absorption of vitamin B 12

1965 ◽  
Vol 288 (1414) ◽  
pp. 348-351 ◽  
Keyword(s):  
Light Absorption ◽  
Standard Procedure ◽  
Vitamin B ◽  
Electron Model ◽  
One Dimensional ◽  
Axial Ligands ◽  
Free Electron Model ◽  
Vitamin B 12 ◽  
Three Stages ◽  
The One

A calculation based on the one dimensional free electron model of the light absorption of vitamin B 12 and of similar compounds has been carried out. The model was applied in its simplest form and in three stages of refinement by using a standard procedure described in a recent paper (Kuhn 1964) and tested there on a great number of dyes. The calculation was thus straightforward and no adjustable parameters were introduced. The interaction of the chromophore with the axial ligands was neglected as well as any effect depending on the specific nature of the central atom or on the buckling of the resonating portion.

STATISTICS ON NETWORKS

1992 ◽  
Vol 07 (19) ◽  
pp. 4633-4654 ◽  
Author(s):  
A.P. BALACHANDRAN ◽  
E. ERCOLESSI
Keyword(s):  
Single Particle ◽  
Free Electron ◽  
Quantum Physics ◽  
Two Dimensions ◽  
Topological Spaces ◽  
Electron Model ◽  
One Dimensional ◽  
Free Electron Model ◽  
Points Of View ◽  
Particle Statistics

One-dimensional networks are excellent examples of topological spaces which are not manifolds and which admit interesting quantum physics. They are of importance in the free electron model for molecules and crystals. They also occur as fabricated mesoscopic networks. We review single-particle quantum physics on networks from topological and operator theoretic points of view and then initiate study of identical particles on networks. It is established that the available statistics on networks in its range and complexity rival the richness of statistical options in two dimensions. We treat two-particle statistics on simple networks with detail, taking care to cover operator theoretic issues pertaining to multiple connectivity and also those due to basic topological differences between a generic network and a manifold.

Stabilization of Dominant Structures in an Ionic Reaction-Diffusion System

1998 ◽  
Vol 63 (6) ◽  
pp. 761-769 ◽  
Author(s):  
Roland Krämer ◽  
Arno F. Münster
Keyword(s):  
Reaction Diffusion ◽  
Dominant Mode ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Local Perturbation ◽  
Dimensional System ◽  
One Dimensional ◽  
Brusselator Model ◽  
The One ◽  
Dominant Structure

We describe a method of stabilizing the dominant structure in a chaotic reaction-diffusion system, where the underlying nonlinear dynamics needs not to be known. The dominant mode is identified by the Karhunen-Loeve decomposition, also known as orthogonal decomposition. Using a ionic version of the Brusselator model in a spatially one-dimensional system, our control strategy is based on perturbations derived from the amplitude function of the dominant spatial mode. The perturbation is used in two different ways: A global perturbation is realized by forcing an electric current through the one-dimensional system, whereas the local perturbation is performed by modulating concentrations of the autocatalyst at the boundaries. Only the global method enhances the contribution of the dominant mode to the total fluctuation energy. On the other hand, the local method leads to simple bulk oscillation of the entire system.

SFA applied to the one-dimensional two-electron model atom

1995 ◽  
Vol 28 (20) ◽  
pp. 4413-4419 ◽  
Author(s):  
J Bauer ◽  
M Ivanov ◽  
K Rzazewski ◽  
H R Reiss
Keyword(s):  
Electron Model ◽  
One Dimensional ◽  
The One ◽  
Model Atom
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