Advanced Solid State Physics (I) [English] – 111Academic Year
This course is provided by NYCU Electrophysics .
Advanced Solid State Physics is a one-year graduate course on condensed matter physics. The course is addressed to students at graduate level, both oriented toward theory and experiments. The objective of the course is to present the central principles and a more solid foundation of the quantum theory of solids to students who have already taken introductory courses on solid state physics and quantum mechanics. The solid foundation is based on second quantization technique and quantum many-body theory.
Textbooks：
1. Many-body quantum theory in condensed matter physics, an introduction, Henrik Bruus and Karsten Flensberg, Oxford
2. Quantum theory of solids, C. Kittel, Wiley ＆amp; Sons Inc.
3. Solid State Phsyics, Ashcroft/Mernin, Brooks/Cole.
For perfect learning results, please buy textbooks!
| Instructor(s) | Department of Electrophysics Prof. Chung-Hou Chung |
|---|---|
| Course Credits | 3 Credits |
| Academic Year | 110 Academic Year |
| Level | Graduate Student |
| Prior Knowledge | Introduction to Solid State Physics, Quantum Mechanics (I) |
| Related Resources | Course Video Course Syllabus |
| Week | Course Content | Course Video |
|---|---|---|
| 1 | Outline (Part 1, 2) | Watch Online |
| 2 | Outline (Part 3, 4, 5) Review of solid state physics Chap. 0 Review | Watch Online |
| 3 | Chap.1 and Chap.2 Second Quantization | Watch Online |
| 4 | Chap.3 Phonons, Plasma, Magnon | Watch Online |
| 5 | Chap.1 Second Quantization in QM | Watch Online |
| 6 | Chap.1 Second Quantization in Many-Particle System | Watch Online |
| 7 | Supplement: Fermion Operation Rules | Watch Online |
| 8 | Supplement: Single Fermion's Creation and Annihilation Operators, 2-Particle Interaction | Watch Online |
| 9 | Creation/Annihilation Operators in Real Space | Watch Online |
| 10 | Small Talk : Coulomb Interaction Chap.4 Hatree-Fock Approximation | Watch Online |
| 11 | Chap.4 Hatree-Fock Theory Pauli Principle | Watch Online |
| 12 | Chap.4 Hatree-Fock Theory Pauli Principle Quasi-Particle Energy | Watch Online |
| 13 | Followed by Chap.4 Q-P Excitation Energy Chap.5 Screening of Coulomb Interaction in Solid | Watch Online |
| 14 | Followed by Chap.5 Screening of Coulomb Interaction in Solid | Watch Online |
| 15 | Chap.5 Coulomb Screening and Plasma Oscillation Chap.5 Random Phase Approximation (RPA) | Watch Online |
| 16 | Chap.5 Plasma Oscillation | Watch Online |
| 17 | Chap.5 Coulomb Screening and Plasma Oscillation | Watch Online |
| 18 | Chap.5 Coulomb Screening and RPA | Watch Online |
| 19 | Chap.6 Second Quantization for Bosons | Watch Online |
| 20 | Chap.6 Bose-Einstein Condensation (BEC) | Watch Online |
| 21 | Chap.6 Bose-Einstein Condensation (BEC), Phonon | Watch Online |
| 22 | Chap.6 Phonon | Watch Online |
| 23 | Chap.6 Phonon in 3D and Debye Model | Watch Online |
| 24 | Chap.6 Debye Model | Watch Online |
| 25 | Chap.6 Phonon | Watch Online |
| 26 | Chap.7 Electron-Phonon Interaction | Watch Online |
| 27 | Chap.7 Electron-Phonon Interaction | Watch Online |
| 28 | Chap.7 Polarons and e Mass Enhancement Chap.8 BCS Theory of Superconductivity | Watch Online |
| 29 | Chap.8 Superconductivity (BCS Theory) | Watch Online |
| 30 | Chap.8 Superconductivity (BCS Theory) | Watch Online |
| 31 | Chap.8 BCS Theory | Watch Online |
| 32 | Chap.8 BCS Ground State Wave Function Chap.9 Spin Wave and Magnetism | Watch Online |
| 33 | Chap.9 Spin Wave and Magnetism | Watch Online |
Course Objectives
Advanced Solid State Physics is a one-year graduate course on condensed matter physics. The course is addressed to students at graduate level, both oriented toward theory and experiments. The objective of the course is to present the central principles and a more solid foundation of the quantum theory of solids to students who have already taken introductory courses on solid state physics and quantum mechanics. The solid foundation is based on second quantization technique and quantum many-body theory.
Course Chapter
| Week | Course Schedule and Topic |
| 1 | Part 0: Review of basics in solid state physics * Interactions in solids * Elementary excitations and quasi-particles in solids |
| 2 | Part I: Electron-electron interactions in Fermion gase * Second quantization of fermions |
| 3 | * Hartree-Fock Approximation |
| 4 | * Many-body techniques and electron gas— Perturbation theory and Random Phase Approximation (RPA) |
| 5 | * Plasmon oscillations * Dielectric response and screening of electron-electron interactions |
| 6 | Part II: Interacting Boson systems * Second quantization of bosons. * Bose-Einstein Condensation (BEC) |
| 7 | * Superfluidity and liquid Helium * Phonons in 1D and 3D |
| 8 | * Debye model and thermal properties of phonons * Phonon-phonon interactions |
| 9 | Part III: Electron-phonon interactions in solids * Kohn effect and modified phonon energy |
| 10 | * Polarons and effective mass |
| 11 | * Attractive electron-electron interactions via phonons |
| 12 | Part IV: Superconductivity * Phenomenology: Meisner effect and London equation |
| 13 | * BCS theory of superconductivity |
| 14 | * BCS theory of superconductivity |
| 15 | Part V: Magnetism: |
| 16 | * Spin-wave theory and magnons |
課程書目
1. Many-body quantum theory in condensed matter physics, an introduction, Henrik Bruus and Karsten Flensberg, Oxford
2. Quantum theory of solids, C. Kittel, Wiley ＆amp; Sons Inc.
3. Solid State Phsyics, Ashcroft/Mernin, Brooks/Cole
評分標準
| 項目 | 百分比 |
| homework | 70% |
| take-home final exam | 30% |