Special Topics in Condensed Matter Physics (PHYS566)


Course Materials: Syllabus

Course textbook:

R. J. Baxter, Exactly Solved Models in Statistical Mechanics, (Academic Press, 1982)



Lecture Notes:

Lecture 1: (Duality on the square lattice, honeycomb-triangular duality)

Lecture 2: (Honeycomb-triangular duality, star-triangle relations)

Lecture 3: (Ising model on a square lattice I: Properties of the transfer matrix)

Lecture 4: (Ising model on a square lattice II: Diagonalization of the transfer matrix for T=Tc)

Lectures 5 & 6: (Basics for the ice and XXZ models)

Lectures 7: (Bethe ansatz for XXZ model)

Lectures 8: (Bethe ansatz for XXZ model)

Lectures 9 & 10: (Bethe ansatz for Lieb-Liniger gas)

Lecture 11: (Metropolis Monte Carlo for Ising model)

Lecture 12: (Critical slowing down, Swendsen Wang algorithm)

Lecture 12: (Lanczos algorithm)

Lecture 13: (DMRG)

Lectures 14 & 15: (Peculiarities of 1D systems)

Lecture 16: (The Mermin-Wagner theorem)

Lecture 17: (Bosonization, Tomonaga model, Tomonaga model with spin)

Lecture 18 & 19 (Bosonization, Luttinger model, single particle properties)

Lecture 20 (Polarization and Condutivity (References))

Problem Sets

Problem Set 1    (Solutions)

Problem Set 2    (Solutions)

Problem Set 3    (Solutions)

Problem Set 3 (Solutions: Algorithm for Heisenberg model, in C++)

Problem Set 3 (Solutions: Algorithm for Lieb-Liniger model, in Fortran)