Electronic Correlation Mapping : From Finite to Extended Systems

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Format: Hardcover
Pub. Date: 2006-03-01
Publisher(s): Wiley-VCH
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Summary

An up-to-date selection of applications of correlation spectroscopy, in particular as far as the mapping of properties of correlated many-body systems is concerned. The book starts with a qualitative analysis of the outcome of the two-particle correlation spectroscopy of localized and delocalized electronic systems as they occur in atoms and solids. The second chapter addresses how spin-dependent interactions can be imaged by means of correlation spectroscopy, both in spin-polarized and extended systems. A further chapter discusses possible pathways for the production of interacting two-particle continuum states. After presenting some established ways of quantifying electronic correlations and pointing out the relationship to correlation spectroscopy, the author addresses in a separate chapter the electron-electron interaction in extended systems, and illustrates the ideas by some applications to fullerenes and metal clusters. The last two chapters are devoted to the investigation of the potential of two-particle spectroscopy in studying ordered surfaces and disordered samples. Throughout the book the material is analyzed using rather qualitative arguments, and the results of more sophisticated theories serve the purpose of endorsing the suggested physical scenarios. The foundations of some of these theories have been presented in a corresponding volume entitled "Concepts of Highly Excited Electronic Systems" (3-527-40335-3).

Author Biography

Jamal Berakdar is an outstanding young researcher who has accomplished in less than ten years remarkable contributions to the field. He is well acknowledged by the scientific community.<br> PhD-thesis at University of Freiburg (Prof. Klar, 1994), Humboldt- and Research fellow at Atomic & Molecular Physics Laboratories, Australian National University; since 1998 researcher at Max-Planck Institute for Microstructure Physics in Halle, Germany.<br>

Table of Contents

Qualitative and General Features of Electron--Electron Scattering
1(22)
Mapping Momentum-distribution Functions
1(4)
Role of Momentum Transfer during Electron--Electron Scattering
5(3)
Approximate Formula for the Electron--Electron Ionization Cross Section
8(7)
Example: An Atomic Target
11(2)
Electron--Electron Cross Section for Scattering from Condensed Matter
13(1)
Electron Scattering Cross Section from Ordered Materials
14(1)
Initial-vs. Final-state Interactions
15(1)
Averaged Electron--Electron Scattering Probabilities
15(4)
Integrated Cross Section for Strongly Localized States
16(3)
Low-energy Regime
19(1)
Electron--Electron Scattering in an Extended System
19(4)
Spin-effects on the Correlated Two-electron Continuum
23(20)
Generalities on the Spin-resolved Two-electron Emission
24(3)
Formal Symmetry Analysis
27(2)
Parametrization of the Spin-resolved Cross Sections
29(1)
Exchange-induced Spin Asymmetry
30(2)
Physical Interpretation of the Exchange-induced Spin Asymmetry
32(1)
Spin Asymmetry in Correlated Two-electron Emission from Surfaces
33(2)
General Properties of the Spin Asymmetry
35(8)
Spin Asymmetry in Pair Emission from Bulk Matter
36(1)
Spin-polarized Homogenous Electron Gas
37(1)
Behavior of the Exchange-induced Spin Asymmetry in Scattering from Atomic Systems
37(2)
Threshold Behavior of the Spin Asymmetry
39(4)
Mechanisms of Correlated Electron Emission
43(30)
Exterior Complex Scaling
44(1)
The Convergent Close Coupling Method
45(1)
Analytical Models
46(5)
Dynamical Screening
47(1)
Influence of the Density of Final States
48(3)
Analysis of the Measured Angular Distributions
51(2)
The Intermediate Energy Regime
51(2)
Characteristics of the Correlated Pair Emission at Low Energies
53(4)
Influence of the Exchange Interaction on the Angular Pair Correlation
55(2)
Threshold Behavior of the Energy and the Angular Pair Correlation
57(13)
Generalities of Threshold Pair Emission
57(2)
Threshold Pair Emission from a Coulomb Potential
59(1)
Regularities of the Measured Pair Correlation at Low Energies
60(2)
Role of Final-state Interactions in Low-energy Correlated Pair Emission
62(1)
Interpretation of Near-threshold Experiments
63(7)
Remarks on the Mechanisms of Electron-pair Emission from Atomic Systems
70(3)
Electron--electron Interaction in Extended Systems
73(12)
Exchange and Correlation Hole
74(2)
Pair-correlation Function
76(3)
Effect of Exchange on the Two-particle Probability Density
78(1)
Momentum-space Pair Density and Two-particle Spectroscopy
79(6)
The S Matrix Elements
79(2)
Transition Probabilities and Cross Sections
81(1)
Two-particle Emission and the Pair-correlation Function
82(3)
The Electron--Electron Interaction in Large Molecules and Clusters
85(16)
Retardation and Nonlocality of the Electron--Electron Interaction in Extended Systems
86(4)
Electron Emission from Fullerenes and Clusters
90(11)
The Spherical Jellium Model
91(1)
Angular Pair Correlation
92(3)
Total Cross Sections
95(1)
Finite-size Effects
96(1)
Influence of Exchange
97(4)
Pair Emission from Solids at Surfaces
101(34)
Qualitative Analysis
102(9)
Model Crystal Potential
103(2)
Scattering from the Surface Potential
105(1)
Qualitative Features of Interacting Two-particle Emission from Surfaces
106(1)
Explicit Results for Two-particle Scattering from Metal Surfaces
107(4)
Mechanisms of Correlated Electron Emission
111(12)
Angular Pair Correlation
111(3)
Energy Pair Correlation
114(3)
Influence of Exchange on the Energy Pair Correlation
117(3)
Pair Diffraction
120(3)
Role of the Dynamical Collective Nature of the Two-particle Interaction
123(3)
Quantitative Description of Pair Emission from Surfaces
126(9)
Treating Strong Two-particle Correlations
127(3)
Relativistic Layer KKR Method
130(2)
Two-particle Energy Correlation in the Pair Emission from Tungsten
132(1)
Angular Pair Correlation: Role of the Electron--Electron Interaction
133(2)
Pair Emission from Alloys
135(14)
Correlated Two-particle Scattering from Binary Substitutional Alloys
136(4)
Pair Emission from Alloys in Transmission Mode
136(1)
Pair Emission in Reflection Mode
137(1)
Scattering Potential from Binary Alloys
138(1)
Electronic States and Disorder Averaged Spectral Functions
139(1)
Incorporation of Damping of the Electronic States
140(2)
Configurationally Averaged Cross Section
142(4)
Analytical Model for Configurationally Averaged Cross Section
144(2)
Numerical Results and Illustrations
146(3)
Color Figures
149(24)
Appendices
A Electronic States in a Periodic Potential
155(4)
B Screening Within Linear Response Theory
159(4)
B.1 Kubo Formalism
159(1)
B.2 Density--density Correlation Functions
160(3)
C Lindhard Function
163(4)
C.1 Thomas--Fermi Approximation
164(1)
C.2 Friedel Oscillations
165(1)
C.3 Plasmon Excitations
165(2)
D Dynamic Structure Factor and the Pair-distribution Function
167(6)
D.1 Excitation Processes and the Dynamical Structure Factor
169(2)
D.2 Properties of the Pair-distribution Function
171(2)
References 173(14)
Index 187

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