PHYS 598GTC :: Physics Illinois :: University of Illinois at Urbana-Champaign
Schedule
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| Week | Date | Lecture | Homework |
|---|---|---|---|
| 1 | 1/21 |
Introduction to Group Theory Recommended Reading: Dresselhaus Ch 1-2
|
|
| 1/24 | |||
| 2 | 1/28 |
Symmetry Groups and Representations Recommended Reading: Dresselhaus Ch 3 |
(due 2/13) |
| 1/30 | |||
| 3 | 2/4 |
Character Theory and Quantum Mechanics Recommended Reading: Dresselhaus Ch 12, Bradley &Cracknell Chs. 1 and 3 |
|
| 2/6 | |||
| 4 | 2/11 |
Point and Space Groups Recommended Reading: Bradley&Cracknell Ch 4, Dresselhaus Ch 13 |
|
| 2/13 | |||
| 5 | 2/18 |
Crystal Symmetries and Quantum Mechanics Dresselhaus Ch 13.7, Bradley and Cracknell Ch 3.5, Ch 4 |
(due 3/6) |
| 2/20 | |||
| 6 | 2/25 |
Time Reversal Symmetry and Nonsymmorphic Symmetries Dresselhaus Ch 21, Bradley and Cracknell Ch 4 |
|
| 2/27 | |||
| 7 | 3/4 |
The Position Operator and Berry Phases Blount's "Formalisms of Band Theory" , Bradlyn&Iraola Sec 4 |
(due 3/27) |
| 3/6 | |||
| 8 | 3/11 |
Wilson Loops and Polarization |
|
| 3/13 | |||
| 9 | 3/18 |
Spring Break - No Class |
Final Presentation Topic Ideas |
| 3/20 | |||
| 10 | 3/25 |
Wannier Functions and Tight-Binding Models Lecture 17 Lecture 18 |
(due 4/10) |
| 3/27 | |||
| 11 | 4/1 |
1D Inversion-Symmetric Chain |
|
| 4/3 | |||
| 12 | 4/8 |
Wilson Loops and Topological Phases |
(due 4/24) |
| 4/10 | |||
| 13 | 4/15 |
The Chern Insulator Lecture 23 Lecture 24 |
|
| 4/17 | |||
| 14 | 4/22 |
Topological Quantum Chemistry Lecture 25 Lecture 26 |
|
| 4/24 | |||
| 15 | 4/29 |
Final Presentations |
|
| 5/1 | |||
| 16 | 5/6 | Final Presentations | |