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

 

Schedule

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Week Date Lecture Homework
1 8/27

Introduction to Group Theory

Recommended Reading: Dresselhaus Ch 1-2

 

Lecture 1    Lecture 2

  
8/29
2 9/3

Symmetry Groups and Representations

Recommended Reading: Dresselhaus Ch 3

Lecture 3    Lecture 4

Homework 1

(due 9/19)

Solutions
9/5
3 9/10

Character Theory and Quantum Mechanics

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

Lecture 5     Lecture 6

 
9/12
4 9/17

Point and Space Groups

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

Lecture 7    Lecture 8

  
9/19
5 9/24

Crystal Symmetries and Quantum Mechanics

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

Lecture 9    Lecture 10

Homework 2

(due 10/10)

Solutions
9/26
6 10/1

Time Reversal Symmetry and Nonsymmorphic Symmetries

Dresselhaus Ch 21, Bradley and Cracknell Ch 4

Lecture 11    Lecture 12

  
10/3
7 10/8

The Position Operator and Berry Phases

Blount's "Formalisms of Band Theory" , Bradlyn&Iraola Sec 4

Lecture 13    Lecture 14

Homework 3

(due 10/31)

Solutions
10/10
8 10/15

Wilson Loops and Polarization

Lecture 15    Lecture 16

  
10/17
9 10/22

Wannier Functions and Tight-Binding Models

Lecture 17    Lecture 18

 Final Presentation Topic Ideas
10/24
10 10/29

1D Inversion-Symmetric Chain

Lecture 19    Lecture 20

Homework 4

(due 11/14)

Solutions
10/31
11 11/5

Wilson Loops and Topological Phases

Lecture 21    Lecture 22

  

 

 
11/7
12 11/12

The Chern Insulator

Lecture 23    Lecture 24

Homework 5

(due 12/11)

Solutions
11/14
13 11/19

Topological Quantum Chemistry

Lecture 25    Lecture 26

  
11/21
14 11/26 Fall Break - No Class  
11/28
15 12/3

Final Presentations

 

 
12/5
16 12/10 Final Presentations