PHYS 567 :: Physics Illinois :: University of Illinois at Urbana-Champaign

 

Schedule

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Week Date Lecture Homework
1 8/26

Introduction to Group Theory

Recommended Reading: Dresselhaus Ch 1-2

 

Lecture 1    Lecture 2

 
8/28
2 9/2

Symmetry Groups and Representations

Recommended Reading: Dresselhaus Ch 3

Lecture 3    Lecture 4

Homework 1

(due 9/18)

Solutions

9/4
3 9/9

Character Theory and Quantum Mechanics

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

Lecture 5     Lecture 6

 

9/11
4 9/16

Point and Space Groups

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

Lecture 7    Lecture 8

Homework 2

(due 10/2)

Solutions

9/18
5 9/23

Crystal Symmetries and Quantum Mechanics

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

Lecture 9    Lecture 10

 
9/25
6 9/30

Time Reversal Symmetry and Nonsymmorphic Symmetries

Dresselhaus Ch 21, Bradley and Cracknell Ch 4

Lecture 11    Lecture 12

Homework 3

(due 10/16)

Solutions

10/2
7 10/7

The Position Operator and Berry Phases

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

Lecture 13    Lecture 14

 
10/9
8 10/14

Wilson Loops and Polarization

Lecture 15    Lecture 16

Homework 4

(due 10/30)

Solutions

 

10/16
9 10/21

Wannier Functions and Tight-Binding Models

Lecture 17    Lecture 18
Final Presentation Topic Ideas  
10/23
10 10/28

1D Inversion-Symmetric Chain

Lecture 19    Lecture 20

 

 

 
10/30
11 11/4

Wilson Loops and Topological Phases

Lecture 21    Lecture 22

Homework 5

(due 11/20)

Solutions

 
11/6
12 11/11

The Chern Insulator

Lecture 23    Lecture 24
   
11/13
13 11/18

Topological Quantum Chemistry

Lecture 25    Lecture 26
   
11/20
14 11/25 Thanksgiving Break  
11/27
15 12/2

Final Presentations

 

 

12/4
16 12/9 Final Presentations