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

 

Schedule

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Week Date Lecture Homework
1 8/22

Groups Theory Refresher

Recommended Reading: Dresselhaus Ch 1-2

Lecture 1     Lecture 2

  
8/24
2 8/29

Group Representations

Recommended Reading: Dresselhaus Ch 3

Lecture 3     Lecture 4

Homework 1

(due 9/12)

Solutions
8/31
3 9/5

Crystallographic Groups and Bloch's Theorem

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

Lecture 5   

 
9/7
4 9/12

Point and Space Group Representations

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

Lecture 6    Lecture 7

  
9/14
5 9/19

Nonsymmorphic Groups and Compatibility Relations

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

Lecture 8+9   Lecture 9+10

Homework 2

(due 10/3)

Solutions
9/21
6 9/26

k-dot-p Theory

Lecture 11    Lecture 12

  
9/28
7 10/3

Hybrid Wannier Functions

Lecture 13    Lecture 14

Homework 3

(due 10/17)

Solutions
10/5
8 10/10

Wilson Loops and Berry Curvature

Lecture 15    Lecture 16

  
10/12
9 10/17

Tight-Binding Approximation

Lecture 17    Lecture 18

Homework 4

(due 10/31)

Solutions
10/19
10 10/24

1D Inversion-Symmetric Chain

Lecture 19    Lecture 20

  
10/26
11 10/31

The Chern Insulator

Lecture 21    Lecture 22

 Final Presentation Topic Ideas
11/2
12 11/7

Topological (Crystalline) Insulators

Lecture 23    Lecture 24

Homework 5

(due 12/5)

Solutions
11/9
13 11/14

Symmetry Indicators

Lecture 25    Lecture 26

  
11/16
14 11/21 Fall Break - No Class  
11/23
15 11/28

Final Presentations

Homework 6

 
11/30
16 12/5 Final Presentations