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 | Course Download |
|---|---|---|---|
| 1 | Outline (Part 1, 2) | Watch Online | MP4 Download |
| 2 | Outline (Part 3, 4, 5) Review of solid state physics Chap. 0 Review | Watch Online | MP4 Download |
| 3 | Chap.1 and Chap.2 Second Quantization | Watch Online | MP4 Download |
| 4 | Chap.3 Phonons, Plasma, Magnon | Watch Online | MP4 Download |
| 5 | Chap.1 Second Quantization in QM | Watch Online | MP4 Download |
| 6 | Chap.1 Second Quantization in Many-Particle System | Watch Online | MP4 Download |
| 7 | Supplement: Fermion Operation Rules | Watch Online | MP4 Download |
| 8 | Supplement: Single Fermion's Creation and Annihilation Operators, 2-Particle Interaction | Watch Online | MP4 Download |
| 9 | Creation/Annihilation Operators in Real Space | Watch Online | MP4 Download |
| 10 | Small Talk : Coulomb Interaction Chap.4 Hatree-Fock Approximation | Watch Online | MP4 Download |
| 11 | Chap.4 Hatree-Fock Theory Pauli Principle | Watch Online | MP4 Download |
| 12 | Chap.4 Hatree-Fock Theory Pauli Principle Quasi-Particle Energy | Watch Online | MP4 Download |
| 13 | Followed by Chap.4 Q-P Excitation Energy Chap.5 Screening of Coulomb Interaction in Solid | Watch Online | MP4 Download |
| 14 | Followed by Chap.5 Screening of Coulomb Interaction in Solid | Watch Online | MP4 Download |
| 15 | Chap.5 Coulomb Screening and Plasma Oscillation Chap.5 Random Phase Approximation (RPA) | Watch Online | MP4 Download |
| 16 | Chap.5 Plasma Oscillation | Watch Online | MP4 Download |
| 17 | Chap.5 Coulomb Screening and Plasma Oscillation | Watch Online | MP4 Download |
| 18 | Chap.5 Coulomb Screening and RPA | Watch Online | MP4 Download |
| 19 | Chap.6 Second Quantization for Bosons | Watch Online | MP4 Download |
| 20 | Chap.6 Bose-Einstein Condensation (BEC) | Watch Online | MP4 Download |
| 21 | Chap.6 Bose-Einstein Condensation (BEC), Phonon | Watch Online | MP4 Download |
| 22 | Chap.6 Phonon | Watch Online | MP4 Download |
| 23 | Chap.6 Phonon in 3D and Debye Model | Watch Online | MP4 Download |
| 24 | Chap.6 Debye Model | Watch Online | MP4 Download |
| 25 | Chap.6 Phonon | Watch Online | MP4 Download |
| 26 | Chap.7 Electron-Phonon Interaction | Watch Online | MP4 Download |
| 27 | Chap.7 Electron-Phonon Interaction | Watch Online | MP4 Download |
| 28 | Chap.7 Polarons and e Mass Enhancement Chap.8 BCS Theory of Superconductivity | Watch Online | MP4 Download |
| 29 | Chap.8 Superconductivity (BCS Theory) | Watch Online | MP4 Download |
| 30 | Chap.8 Superconductivity (BCS Theory) | Watch Online | MP4 Download |
| 31 | Chap.8 BCS Theory | Watch Online | MP4 Download |
| 32 | Chap.8 BCS Ground State Wave Function Chap.9 Spin Wave and Magnetism | Watch Online | MP4 Download |
| 33 | Chap.9 Spin Wave and Magnetism | Watch Online | MP4 Download |
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% |