Resumen de Electronic structure of bulk and low dimensional systems analyzed by Angle-Resolved Photoemission Spectroscopy

Victor Joco

• Resumen .......................................................................................................................... 3 1. Introduction ............................................................................................................ 7 2. Angle Resolved Ultra-Violet Photoelectron Spectroscopy ................................ 11 2.1. The basic ARUPS experiment ......................................................................... 12 2.2. Electronic states in solids ................................................................................. 16 2.3. Free electron model ......................................................................................... 17 2.4. Nearly free electron model. Three step photoemission process. ..................... 18 2.5. System dimensionality and ARUPS ................................................................ 20 2.5.1. Zero dimension ......................................................................................... 20 2.5.2. One dimensional systems ......................................................................... 23 2.5.3. Two dimensional systems ......................................................................... 26 2.5.4. Three dimensional electronic systems ...................................................... 28 2.6. ARUPS experimental setups and sample preparation ..................................... 30 3. Extension of a Tight Binding Model ................................................................... 33 3.1. Slater Koster tight binding method .................................................................. 34 3.2. Computer analytical solutions of the Slater Koster Hamiltonian matrix elements ...................................................................................................................... 37 3.3. Constant energy surfaces ................................................................................. 39 3.4. Marching Cubes and Advanced Marching Cubes algorithm ........................... 40 3.5. The radial projected surface method ............................................................... 45 3.6. Spherical cuts of constant energy surfaces ...................................................... 47 3.7. Theoretical band dispersion ............................................................................. 50 3.8. Projected band gaps ......................................................................................... 54 3.9. Initial and final state width effects ................................................................... 57 3.10. Implementation............................................................................................. 58 3.11. Results, discussion, experimental proof and conclusions ............................ 60 4. Phase transitions and surface electronic structure of Pb/Cu(100) ................... 69 4.1. Surface phase transitions of Pb/Cu(100) system ............................................. 71 4.2. Projected band gaps of the Cu(100) surface .................................................... 76 4.3. Filling of a surface electronic band .................................................................. 78 4.4. Electronic structure of the c(4×4) phase. Surface states and/or surface Umklapps. ................................................................................................................... 83 2 Resumen 4.5. Electronic structure of the c(5¿2׿2)R45º, c(2×2) and split c(2×2) phases and the role of the electronic structure in the c(5¿2׿2)R45º to split c(2×2) phase transition ..................................................................................................................... 90 4.6. Conclusions ...................................................................................................... 95 5. Electronic structure of clean and halogenated Pt(110) surface ........................ 97 5.1. Electronic structure of the clean Pt(110) surface ............................................. 99 5.2. The electronic structure of platinum. Calculated electronic structure. .......... 100 5.2.1. Fermi surfaces and band dispersion of Pt(110) ...................................... 104 5.2.2. Surface states of Pt(110)-(1×2) surface ................................................. 108 5.3. Electronic structure of Br/Pt(110) system ..................................................... 116 5.4. Conclusions .................................................................................................... 120 Conclusiones generales ............................................................................................... 121 Bibliography ................................................................................................................ 123