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1 Ab Initio Total Energy Methodology 1
1.1 Born-Oppenheimer Approximation . . . . . . . . . . . . . . . . . . . 4
1.2 Density-Functional Theory . . . . . . . . . . . . . . . . . . . . . . . . 6
1.2.1 Hohenberg-Kohn Theorem . . . . . . . . . . . . . . . . . . . . 8
1.2.2 Kohn-Sham Equations . . . . . . . . . . . . . . . . . . . . . . 11
1.2.3 Total-Energy Functional . . . . . . . . . . . . . . . . . . . . . 13
1.2.4 Exchange-Correlation Approximation . . . . . . . . . . . . . . 14
1.3 Pseudopotential Theory . . . . . . . . . . . . . . . . . . . . . . . . . 17
1.3.1 Operator Representation . . . . . . . . . . . . . . . . . . . . . 18
1.3.2 Generalization Criteria . . . . . . . . . . . . . . . . . . . . . . 21
1.3.3 Kleinman-Bylander Pseudopotential . . . . . . . . . . . . . . 22
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3 Nanowire-induced optical anisotropy of the Si(111)-In surface 68
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
3.2 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72
3.3 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . 75
3.4 Summary and conclusions . . . . . . . . . . . . . . . . . . . . . . . . 80
4 Resonant Coupling and Negative Di erential Resistance in
Metal/Ferrocenyl-Alkanethiolate/STM structures 81

4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82
4.2 Electronic Structure Calculation . . . . . . . . . . . . . . . . . . . . . 84
4.3 Quantum Transport Calculation . . . . . . . . . . . . . . . . . . . . . 86
4.4 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . 94
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