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Development and application of the S/PHI/nX library : first-principles calculations of thermodynamic properties of III-V semiconductors / by Sixten Boeck. 2009
Content
1 Theory
1.1 The Many-body problem
1.1.1 Born-Oppenheimer approximation
1.1.2 Electron-electron interaction
1.2 Density functional theory
1.2.1 Kohn-Sham formalism
1.2.2 Kohn-Sham equations
1.2.3 XC functional
1.3 Periodic boundary conditions
1.4 Integration over the Brillouin zone
1.5 Valence/core partitioning
1.5.1 Pseudo-potential theory
1.5.2 All-electron approaches
1.6 Tight-binding methods
1.7 Forces in ionic systems
1.7.1 Hellmann-Feynman theorem
1.8 Conclusions
2 Methods
2.1 Electronic minimization schemes
2.1.1 Gradients -"426830A |
2.1.2 Search direction
2.1.3 Preconditioning
2.1.4 Conjugate gradient methods
2.2 Structural properties
2.2.1 Quasi Newton
2.2.2 Molecular dynamics
2.3 Deriving thermodynamic properties
2.3.1 Free energy surface
2.3.2 Born-effective charges
3 S/PHI/nX
3.1 Basis-set independent implementations
3.1.1 Matrix notation
3.1.2 Bra-Ket notation
3.1.3 Programming languages
3.1.4 BLAS/LAPACK interfaces
3.2 The Dirac notation in S/PHI/nX
3.2.1 Conventional approach
3.2.2 Modular approach
3.2.3 Object-oriented approach
3.2.4 Example
3.3 Class Hierarchy
3.3.1 Electronic minimization
3.3.2 Representing atomic structures
3.3.3 Add-ons
3.4 Comparison with VASP
3.5 Conclusions
4 Applications
4.1 Introduction
4.2 Thermodynamic properties
4.2.1 Convergence aspects
4.3 Comparison with experiment
4.3.1 Bulk properties at T=0 K
4.3.2 Phonon spectra
4.3.3 Thermal expansion
4.3.4 Heat capacity
4.3.5 Conclusions
5 Conclusions and Outlook
A Computational details
A.1 Pseudo potentials
A.2 Convergence parameters
Bibliography
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