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  • 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
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