Advanced Solid State Physics (B) [English] - 110 Academic 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 |
|---|---|---|---|
| Review of solid state physics-Hamiltonian of solid state | Watch Online | MP4 Download | |
| Review of solid state physics-X-ray diffraction in crystal | Watch Online | MP4 Download | |
| Review of solid state physics-Electrons in periodic potentials | Watch Online | MP4 Download | |
| Introduction of Elementary of excitations in solids | Watch Online | MP4 Download | |
| Sommerfeld non-interacting electron gas theory and Fermi liquid theory | Watch Online | MP4 Download | |
| Second quantization | Watch Online | MP4 Download | |
| Second quantization-Fermion | Watch Online | MP4 Download | |
| Second quantization-one particle system | Watch Online | MP4 Download | |
| Second quantization-two particles system | Watch Online | MP4 Download | |
| Second quantization-Boson | Watch Online | MP4 Download | |
| Coulomb interaction in solids | Watch Online | MP4 Download | |
| Hartree-Fock approach | Watch Online | MP4 Download | |
| Hartree-Fock predictions | Watch Online | MP4 Download | |
| Thomas-Fermi approximation | Watch Online | MP4 Download | |
| Quantum mechanics screen effect | Watch Online | MP4 Download | |
| Plasma oscillation | Watch Online | MP4 Download | |
| Screen of Coulomb interaction (pure quantum mechanics)-1 | Watch Online | MP4 Download | |
| Screen of Coulomb interaction (pure quantum mechanics)-2 | Watch Online | MP4 Download | |
| Bose-Einstein condensation | Watch Online | MP4 Download | |
| Phonons | Watch Online | MP4 Download | |
| Phonons in 1D | Watch Online | MP4 Download | |
| Phonons in 3D | Watch Online | MP4 Download | |
| Debye model-1 | Watch Online | MP4 Download | |
| Debye model-2 | Watch Online | MP4 Download | |
| Anharmonic potential | Watch Online | MP4 Download | |
| Magnetism review | Watch Online | MP4 Download | |
| Spin-wave theory | Watch Online | MP4 Download | |
| Heisenberg ferromagnet | Watch Online | MP4 Download | |
| Anti-ferromagnet | Watch Online | MP4 Download | |
| Electron-phonon interaction | Watch Online | MP4 Download | |
| Superconductivity | Watch Online | MP4 Download | |
| BCS theory | Watch Online | MP4 Download |
課程目標
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.
課程章節
| 週次 | 課程進度、內容、主題 |
| 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% |