Adiabatic continuity and discontinuity
BCS theory
Bethe ansatz: general comments, Lieb-Liniger and Heisenberg models
Course practicalities
Definitions including one-particle time-ordered correlation function (Green's function)
Diagrammatics
Experimental significance of Green's function
Fermi Liquid Theory
Ginzburg-Landau theory
Holstein-Primakoff bosons
Interactions; applications to susceptibility and effective mass
Introduction: thermodynamics and Landau argument
Introduction to localization by disorder
Jordan-Wigner transform
Magnetism
One-dimensional physics
Physical origin of antiferromagnetism; basic FM/AF differences
Physical origin of ferromagnetism
Problem set 1 (assigned 1/26, due 2/11)
Problem set 2 (assigned 2/15, due 2/25)
Problem set 3 (assigned 3/3, due 3/17)
Problem set 4 (assigned 3/31/16, due 4/14/16)
Problem set 5 (assigned 4/19, due 4/28).
Quantum fluctuations disorder the 1D Heisenberg AF; summary table
Quantum impurity models: Anderson and Kondo
Quantum phase transitions
Second quantization (What does "strongly correlated" mean?)
Special Topics in Many-Body Theory, Spring 2016
Spin waves via HP bosons
Standard many-body methods
Superconductivity
Ten facts to remember about BCS
Topological phases (including long notes)