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Understanding substrate-supported atomic-scale nanowires from ab initio theory / Stefan Wippermann. 2010
Inhalt
Abstract
List of tables
List of figures
Introduction
Motivation
Previous Research
Structure and phase transition
Transport properties and doping
Project outline
Methodology
Density Functional Theory (DFT)
The many body problem
The Hohenberg-Kohn theorems
The Kohn-Sham equations
Exchange-correlation (XC) functionals
Local density approximation (LDA)
Generalized gradient approximation (GGA)
Periodic boundary conditions
Plane-wave basis set expansion
Supercell method
bold0mu mumu kkkkkk-space integration
The pseudopotential approach
Frozen-core approximation
Pseudopotential concept
Norm-conserving pseudopotentials (NC-PP)
Ultrasoft pseudopotentials (US-PP)
Projector-augmented wave pseudopotentials (PAW)
Calculation of the forces: Hellmann-Feynman theorem
Transport theory
Preliminary concepts
Subbands or transverse modes
Degenerate and non-degenerate conductors
Characteristic length scales
Conduction as dynamics of Fermi-energy electrons
Landauer conductance formalism
Calculation of the contact resistance
The Landauer formula
Linear response for non-zero temperatures
Landauer conductance from Green's functions
Green's function formalism
Fisher-Lee relation
Tight-binding approach
Bridging the gap to DFT
Transmission within the supercell approach
Real-space basis set: Wannier functions
Localization procedure
Obtaining the real-space Hamiltonian
Optical and spectroscopic properties
Reflectance anisotropy spectroscopy (RAS)
Obtaining the dielectric tensor from DFT
Independent particle approximation (IPA)
Intraband contributions in metallic case
Many-body correction Green's function schemes
One- and two-particle Green's functions
Electronic self-energy and Hedin's equations
Independent quasi-particle approximation (IQA)
Electron-hole attraction and Bethe-Salpeter Eq. (BSE)
Implications on the bandstructure and dielectric tensor
Program packages (VASP, PWScf/WanT, DP)
Transport properties of the clean Si(111)-(41)/(82)-In surface
Direct approaches to structure and why they fail
Electronic properties
Transport properties
Computational details
Conductance spectra and discussion
Transport properties of the doped Si(111)-(41)/(82)-In surface
Adsorption of impurity atoms on In/Si(111)-(41)
Potential energy surfaces (PES)
Structural properties
Transport properties
Computational details
Conductance spectra
Adatom-localized phonon modes
Conductance quenching mechanisms
Local density of states (DOS)
Potential-well scattering
Structural effects
Discussion
Optical properties
Optical anisotropy in the visible spectral range
Computational details
Results
Structure determination by mid-infrared response
Computational details
Mid-infrared optical anisotropy
Transitions responsible for the observed anisotropy
Discussion
Thermal properties
Phonon spectra in theory & experiment
In/Si(111)-(41) surface
In/Si(111)-(82) hexagon structure
Temperature-dependent transport properties
Frozen-phonon (FP) approach
Molecular dynamics (MD) approach
A simple test system: zigzag Au wires
Quasiparticle corrections and eigenstate symmetries
Results of the combined FP and MD approaches
Discussion
Summary and conclusions
Results of the present work
Outlook
Quantum mechanical treatment of the phase transition
Entropy contributions
Doping vs. optical pumping
References
Publications
Acknowledgements
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