- 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)

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