強關聯電子系統導論
Introduction to Strongly Coupled Electron Systems
| 節 | 週二 | 週三 |
|---|---|---|
3 10:10–11:00 | 強關聯電子系統導論 SC160（光復） 2 節連堂 | |
4 11:10–12:00 | ||
8 16:30–17:20 | 強關聯電子系統導論 SC160（光復） |
* 根據陽明交大上課時間表所列
This is an introductory course to strongly correlated electron systems. Strong electron-electron interactions in certain solids with d- or f- orbitals lead to many new quantum ground states. Students in this course will learn basic physics of some of the most interesting quantum phenomena in these materials, including high-Tc superconductivity in cuprates, quantum magnetism in strongly correlated Mott insulators, Kondo effect in quantum impurity systems. Two main goals for this course: 1. To understand these phenomena via quantum mechanics and solid state physics. 2. To quantify these phenomena by calculatng physical observables.
Quantum mechanics I, Solid state physics
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Course information is also available on NYCU e-3 platform.
Homeworks every 2 weeks (70%) Final exam (30%)
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Electron-electron interactions in transition-metal oxides. |
| 第 2 週 | Phenomena in strongly correlated slectron systems: high-Tc superconductivity |
| 第 3 週 | Phenomena in strongly correlated electron systems: Mott insulators and quantum magnetism |
| 第 4 週 | Phenomena in strongly corelated electron systems: Kondo effect in quantum impurity systems |
| 第 5 週 | High-Tc superconductivity: Hubbrd and t-J models |
| 第 6 週 | High-Tc superconductivity: mean-field theories and phase diagrams |
| 第 7 週 | High-Tc superconductivity: comparison between theories and experiments |
| 第 8 週 | Mott insulators and quantum magnetism: the Heisenberg model |
| 第 9 週 | Mott insulators and quantum magnetism: large-N theories for quantum ferromagnetism and antiferromangetism |
| 第 10 週 | Mott insulators with frustrations: novel spin-liquid states (I) |
| 第 11 週 | Mott insulators with frustrations: novel spin-liquid states (II) |
| 第 12 週 | The Kondo effect in quantum impurity systems: The Anderson impurity model |
| 第 13 週 | The Kondo effect in quantum impurity systems: the Kondo model |
| 第 14 週 | The Kondo effect in quantum dots |
| 第 15 週 | one-dimensional Hubbard model: renormalization group approach (I) |
| 第 16 週 | one-dimensional Hubbard model: renormalization group approach (II) |
| 第 17 週 | Review and concluding remarks |
*Interacting Electrons and Quantum Magnetism by Assa Auerbach (Publisher: Springer) * Field theories of condensed matter systems , Edurado Fradkin (Eddison-Wesley) * Green's functions for solid state physicists, by S. Doniach and E.H. Sondheimer (Imperial College Press)
- 地點
- Science Building III SC453
- 時間
- to be announced
- 聯絡方式
- chung0523@nycu.edu.tw Ext. 56107