Instructor: Bhavtosh Bansal

Teaching Assistants: Siddharth Rout (sr23rs081), Arnabesh Samadder (as22rs063)

Classes: Tue 10-11 hrs. Wed 12-13 hrs, Thu 8-10 hrs.  Room 103 

Lectures

Syllabus for the final Exam: Lecture 14 to Lecture 33

Marks distribution

Final Exam: 50

Midsem: 20

Class Test: 10 marks

Assignments: 10 marks

Write up: 10 marks

Write-up (Deadline 13 May Sunday)

You can choose your own topic. 

One possibility is elaborating on one or two of class lectures and adding a bit extra. 

Here are some more topics (many of them advanced) ..feel free to discuss with me and come up with your own topics

1. 1. Measurement of correlation functions via scattering experiments (Chaikin Lubensky)

   2. Yang Lee zeros

   3. Kosterlitz-Thouless transition (Depending on how deep you want to go. Goldenfeld, Chaikin-Lubesnky, Kardar and Plischke)

   4. Topological defects (A few sections from Chapter 9, Chaikin-Lubensky )

   5. Higgs mechanism 

   6. Landau-Ginzburg theory of superconductivity

   7. Halperin-Lubesnky-Ma mechanism: Fluctuation-induced first-order transition

   8. RG analysis of Ising spins on a triangular lattice using cumulants (Goldenfeld)

   9. Momentum space RG for the Gaussian model (Goldenfeld/Chaikin Lubensky/David Tong) 

   10. Percolation theory as a critical phenomenon

   11. You can look at any of the sections in the mean field theory chapter in Chaikin-Lubensky

   12. Ising model on the Bethe lattice [Ref: Baxter Chapter 4]

   13. Star-triangle duality (e.g., Baxter, Student's guide to the Ising Model (library has a copy))

   14. Onsager solution of the 2D Ising model (Huang, Baxter)

   15. Potts model

   16. 
       

Class test 27, March 2025 Thursday 8.30 am

Syllabus: Lecture 18-25

Syllabus for midsem: Lecture 7 to Lecture 17