Modern Statistical Mechanics (book in progess)
Paul Fendley
Rough Outline
Book Chapters
Chapter 1
: Classical spin systems, order and disorder, introducing the Ising model and solving the 1d case, the transfer matrix, the Peierls argument
Chapter 2 (in progress)
: The quantum/classical correspondence, the Ising Hamiltonian
Chapter 3
: Quantum spin systems, su(2) symmetry
Chapter 4 (in progress)
: The 1+1 dimensional Ising model: the low- and high-temperature expansions, duality, solving it using free fermions
Chapter 5 (in progress)
: The XXZ chain and the six-vertex model
Chapter 7 (in progress)
: Landau theory and the mean-field approximation
A later chapter:
: A Conformal Field Theory Primer (my Princeton summer school lecture notes)