| Preface | 6 |
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| Elemental 2D Materials Beyond Graphene | 6 |
| Contents | 9 |
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| Contributors | 15 |
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| 1 A Vision on Organosilicon Chemistry and Silicene | 18 |
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| 1.1 Aromatic Molecules and Silicon Substituted Cyclic Rings | 18 |
| 1.2 Chemical Bonding: Unsaturated Carbon Systems Versus Silicon Systems | 22 |
| 1.3 Effect of Buckling Distortions in Si6 Rings: The Psuedo Jahn-Teller (PJT) Effect | 24 |
| 1.4 Chemical Functionalization on Silicon Rings to Make Them Planar | 26 |
| 1.5 Electron and Hole Transport in Silicene | 28 |
| 1.6 Reactivity of Silicene Towards Hydrogen and Band Gap Tuning | 30 |
| 1.7 Tip Enhanced Raman Spectroscopy (TERS) as a Probe for the Buckling Distortion in Silicene | 33 |
| References | 37 |
| 2 Density-Functional and Tight-Binding Theory of Silicene and Silicane | 39 |
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| 2.1 Introduction | 39 |
| 2.2 First-Principles Theory of Silicene and Silicane | 41 |
| 2.2.1 Structure, Stability, and Electronic Band Structure of Silicene | 41 |
| 2.2.2 Structure, Stability, and Electronic Band Structure of Silicane | 44 |
| 2.3 Tight-Binding Description of Silicene and Silicane | 46 |
| 2.3.1 All-Valence Tight-Binding Model of Silicene | 46 |
| 2.3.2 All-Valence Tight-Binding Model of Silicane | 47 |
| 2.4 Silicene in a Transverse External Electric Field | 50 |
| 2.5 SO Coupling and Topological Phase Transition in Silicene | 53 |
| 2.5.1 SO Induced Band Gap in Silicene | 53 |
| 2.5.2 Transition from Topological Insulator to Band Insulator State | 54 |
| 2.6 Summary | 55 |
| References | 55 |
| 3 Electronic and Topological Properties of Silicene, Germanene and Stanene | 58 |
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| 3.1 Introduction | 58 |
| 3.2 Graphene and Silicene | 59 |
| 3.2.1 Graphene | 60 |
| 3.2.2 Silicene and Tunable Band Gap | 61 |
| 3.2.3 Generalized Dirac Mass Terms | 64 |
| 3.3 Berry Curvature and Chern Number | 64 |
| 3.3.1 TKNN Formula | 64 |
| 3.3.2 Berry Curvature in Centrosymmetric System | 66 |
| 3.3.3 Pontryagin Number | 68 |
| 3.3.4 Classification of Topological Insulators | 69 |
| 3.4 Topological Edges | 70 |
| 3.4.1 Bulk-Edge Correspondence | 70 |
| 3.4.2 Herical Edges and Chiral Edges | 71 |
| 3.4.3 Inner Edges | 71 |
| 3.4.4 Topological Kirchhoff Law | 73 |
| 3.5 Topological Quantum Field-Effect Transistor | 74 |
| 3.6 Impurity Effects to Topological Quantum Field-Effect Transistor | 77 |
| 3.6.1 QSH Phase | 78 |
| 3.6.2 QVH Phase | 78 |
| 3.7 Phosphorene and Anisotropic Honeycomb Lattice | 80 |
| 3.7.1 Band Structure of Anisotropic Honeycomb Nanoribbons | 81 |
| 3.7.2 Topological Origin of Flat Bands | 83 |
| 3.7.3 Wave Function and Energy Spectrum of Edge States | 85 |
| References | 85 |
| 4 Optical Properties of Silicene and Related Materials from First Principles | 87 |
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| 4.1 Introduction | 88 |
| 4.2 Theoretical and Numerical Methods | 88 |
| 4.2.1 Atomic and Electronic Structure | 88 |
| 4.2.2 Frequency-Dependent Dielectric Function | 90 |
| 4.2.3 Dielectric Function and Optical Conductivity of Individual Sheets | 91 |
| 4.2.4 Optical Properties of Atomically Thin Films | 94 |
| 4.3 Spectra of Silicene, Germanene, and Stanene | 97 |
| 4.3.1 Influence of Many-Body Effects | 97 |
| 4.3.2 General Frequency Dependence | 99 |
| 4.3.3 Low-Frequency Absorbance | 100 |
| 4.3.4 Influence of Spin-Orbit Interaction | 103 |
| 4.3.5 Reflection, Transmission, and Absorption: Global Spectra | 105 |
| 4.4 Influence of Multiple Layers | 106 |
| 4.4.1 Graphene Bilayer | 106 |
| 4.4.2 Silicene Bilayers | 108 |
| 4.5 Summary and Conclusions | 110 |
| References | 111 |
| 5 Synthesis of Silicene | 113 |
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| 5.1 Introduction | 113 |
| 5.2 The Silver Track | 114 |
| 5.3 Ag(111) Mimicking a Honeycomb Lattice | 117 |
| 5.4 Growth Mode and Structure Formation of Si on the Ag(111) Surface | 117 |
| 5.5 Multilayer Silicene | 120 |
| 5.6 Silicene Segregated on ZrB2 Thin Films | 123 |
| 5.7 Synthesis of Silicene on Other Metallic Substrates | 124 |
| 5.8 Concluding Remarks | 125 |
| References | 125 |
| 6 Si Nanoribbons: From 1D to 3D Nanostructures | 128 |
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| 6.1 Introduction | 128 |
| 6.2 Silicene Nanoribbons: From a Theoretical Point of View | 129 |
| 6.3 The Birth of SiNRs: 1D, 2D and 3D Silicene Nano-structures on Ag(110) | 131 |
| 6.3.1 Isolated SiNRs and Nanodots | 131 |
| 6.3.2 Two-Dimensional Array of SiNRs | 132 |
| 6.4 Oxidation of Isolated SiNRs on Ag(110) | 132 |
| 6.5 Electronic Properties of 1D SiNRs and 2D Arrays of SiNRs | 134 |
| 6.6 Multilayer SiNRs | 134 |
| 6.7 Discussion | 136 |
| 6.8 Summary | 139 |
| References | 139 |
| 7 Properties of Monolayer Silicene on Ag(111) | 141 |
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| 7.1 Introduction | 141 |
| 7.2 Expected Properties of Epitaxial Silicene | 143 |
| 7.3 Formation of 2D Si-Structures on Ag(111) | 144 |
| 7.3.1 Temperature-Dependence of the Si Growth on Ag(111) | 146 |
| 7.4 Epitaxial (3times3) Silicene | 149 |
| 7.4.1 Atomic Structure | 149 |
| 7.4.2 Electronic Properties | 155 |
| 7.4.3 Vibrational Properties | 157 |
| 7.4.4 Temperature Dependence of the Vibrational Modes | 161 |
| 7.4.5 Electron-Phonon Coupling | 163 |
| 7.5 Other 2D Si Phases on Ag(111) | 164 |
| 7.5.1 The Si-(sqrt13timessqrt13) Phase
|