PHYS 598GTC :: Physics Illinois :: University of Illinois at Urbana-Champaign

 

Schedule

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Week Date Lecture Homework
1 1/16

Groups Theory Refresher

Lecture 1    Lecture 2

Recommended Reading: Dresselhaus Ch 1-2

  
1/18
2 1/23

Group Representations

Lecture 3    Lecture 4

Recommended Reading: Dresselhaus Ch 3

Homework 1

(due 2/6)
1/25
3 1/30

Crystallographic Groups and Bloch's Theorem

Lecture 5    Lecture 6

Recommended Reading: Dresselhaus Ch 12, Bradley &Cracknell Chs. 1 and 3

 
2/1
4 2/6

Point and Space Group Representations

Recommended Reading: Bradley&Cracknell Ch 4, Dresselhaus Ch 13

  
2/8
5 2/13

Nonsymmorphic Groups and Compatibility Relations

Dresselhaus Ch 13.7, Bradley and Cracknell Ch 3.5, Ch 4

Homework 2

(due 2/27)
2/15
6 2/20

Time reversal symmetry and corepresentations

  
2/22
7 2/27

Hybrid Wannier Functions

Homework 3

(due 3/19)
2/29
8 3/5

Wilson Loops and Berry Curvature

  
3/7
9 3/12

Spring Break - No Class

  
3/14
10 3/19

Tight-Binding Approximation

Homework 4

(due 4/2)

 
3/21
11 3/26

1D Inversion-Symmetric Chain

  
3/28
12 4/2

The Chern Insulator

Homework 5

(due 4/16)

 
4/4
13 4/9

Topological (Crystalline) Insulators

  
4/11
14 4/16 Symmetry Indicators  
4/18
15 4/23

Final Presentations

 

 
4/25
16 4/30 Final Presentations