#  Teaching 

 



## **Lecture Notes:**

#### 1. Theory of Magic Angle Twisted Bilayer Graphene - Entwining Flavor and Superconducting Orders.

   ![Florida Winter School - High Magnetic Field Lab](/sites/g/files/omnuum6831/files/styles/hwp_1_1__720x720_scale/public/avishwanath/files/screen_shot_2021-01-10_at_12.39.55_pm.png?itok=yVVVkBMC) 

 

Florida Virtual Winter School - Jan 2021.  
  
[**Lecture Notes**](/file_url/161)  (Draft Version)  
SLIDES - [Day 1](/file_url/148), [Day 2](/file_url/150).

- Relevant Videos
    - [KITP Theory Overview Talk](https://online.kitp.ucsb.edu/online/correlated20/khalaf/), Dec 2020 (Eslam Khalaf - 30 mins)
    - [Skyrmion Superconductivity in TBG](https://www.youtube.com/watch?v=A8c8ywSuPDs&list=PLYJZ3D0oEWZftNAxLy5fO25mdc7PCmq-Z&index=14&t=0s), Sept 2020 - (Mike Zaletel- 1hr )
    - [Theory Talk](https://online.kitp.ucsb.edu/online/correlated20/vishwanath/) Dec 2020 (Ashvin Vishwanath - 50 mins)
    - [Recent Experimental Overview](https://online.kitp.ucsb.edu/online/correlated20/jarilloherero/) Dec 2020 (Pablo Jarillo-Hererro - 50 mins)
- References

### 2. Topological Insulators and Related Phases with Strong Interactions  


   ![Les Houches](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/untitled_2.png?itok=FYZ5sxAe) 

 

### Les Houches 2014 :

- [Outline](https://www.dropbox.com/s/82qf1ob359sciz5/OutlineVishwanath.pdf) - Quantum phases of matter and Short Range Entanglement
- [Lecture Notes](/file_url/145) - Short range entalged topological phases, coupled wires and effective field theories. Beyond Chern insulators - Extending the classification of topological phases in 2+1D . Interaction effects on topological insulators and superconductors - surface topological order and interaction reduction of free fermion classification in 3+1D
- [**Lecture Videos**](http://topo-houches.pks.mpg.de/?page_id=410)

## \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_

## **Courses**


## Physics 268r: Special Topics in Quantum Matter:

## Fall 2019

   ![Phy268r](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/picture1.png?itok=RgSQGwmN) 

 

This is a special topics course on quantum systems of many particles, i.e. quantum matter. We will study well defined microscopic models, such as simple spin models, representing *electrons* in solids or *atoms* in optical lattices, which will be shown to give rise to remarkable new excitations, from `sound’ and `light’, to fermions and even more exotic `anyon’ excitations. Often, (but not always) we will use field theory to describe this physics, which may also help *demystify* the origin of quantum field theory in a physical setting free from `infinities’.

This course will make contact with recent research directions such as topological order, quantum criticality and dualities

An earlier version of this course with lecture notes can be found [here](https://sites.google.com/site/ashvinvishwanath/Home/https-sites-google-com-site-ashvinvish-phy250_new)\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_

#### Some Previous Courses:

- #### Fall 2018: Physics 268R Special Topics in Quantum Matter.
- Spring 2017. Physics 181 Statistical Mechanics [Syllabus](https://docs.google.com/viewer?a=v&pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxhc2h2aW52aXNofGd4OjY2NzA0YTMzOWQ4ZWUxMzE)
- Phy211 (Spring 2016) 'Statistical Mechanics'
- Phy212 (Fall 2015) 'Advanced Statistical Mechanics'
- [Phy216 (](https://sites.google.com/site/ashvinvishwanath/teaching/phy-216-fall-2014)Fall 2014) 'Quantum Magnetism & Strongly Correlated Electronic Systems'
- [Phy 250 (Fall 2013)](https://sites.google.com/site/ashvinvishwanath/Home/https-sites-google-com-site-ashvinvish-phy250_new) 'Demystifying Quantum Field Theory'
- [Phy 141A (Spring and Fall 2011)](https://sites.google.com/site/ashvinvishwanath/Home/phy141a) 'Solid State Physics'
- [Phy250 (Spring 2010)](https://sites.google.com/site/ashvinvishwanath/phy250)
- [Phy216 (Spring 2009](https://sites.google.com/site/ashvinvishwanath/Home/phy216))