QCMT Example Repository

Quantum Condensed Matter Theory is a wide subject and pedagogical examples to illustrate any concept are hard to find. 

This repository is a work in progress. The idea is to share notes or pedagogical articles which illustrate some concept/technical method in modern condensed matter physics (graduate student level or more) using examples. 

Topics:

1. Non-Interacting Fermions

   1. Single Particle Impurity Green's Function - Subrata Pachhal (2026)

2. Topological Phases (Band Topology)

3. Strong Correlations

   2. 1. Two-site Hubbard Model - Adhip Agarwala (2015)

      2. Two-site Kondo effect - Adhip Agarwala (2015) 

      3. Hartree-Fock for 1D tight-binding Fermi Sea - Adhip Agarwala (2026) [forthcoming]

4. Fractional Quantum Hall Effect

   1. Filled 1D Fermi Sea and Filled Landau Level  - Adhip Agarwala (2026) 

   2. Coulomb Potential Elements and Haldane Pseudopotential - Adhip Agarwala (2025)

5. Transport Theory

6. Bosonic Phases

7. Continuum Theories

8. Time-Dependent and Non-Equilibrium Phenomena

9. Mathematical Background

10. Classical Phase Transitions

11. Fluids and Soft Matter

If you find any errors please write to me or the author of the article. I will add the correction/clarification.

This aims to be a community driven exercise. If you are a PhD student/postdoc/faculty in QCM physics and have made an article/note which illustrates a physics concept in detail - and would like to share, please write to me. I will be happy to add it to the collection with your name against the article. Please mention your email id in the pdf for people to contact. Also you may link any code etc. which you want to add.