Some suggested classic topics
Old papers, “common knowledge”, things that often crop up in seminars.
- The Haldane Conjecture
[Ref 1] [Ref 2] [Ref 3] - Random matrix theory for transport (Landauer formalism)
[Ref 1] - Luttinger’s Theorem
[Ref 1] [Ref 2] - 2D Ising Model (Onsager’s Solution, etc)
[Ref 1] - RG for Fermi liquids
[Ref 1] - Homotopy and defects
[Ref 1] - Random singlet phases
[Ref 1] [Ref 2] - The AKLT chain and valence bond states
[Ref 1] - The Kondo problem and poor man’s scaling
[Ref 1] [Ref 2] [Ref 3] - The x-ray edge problem (and orthogonality catastrophe)
[Ref 1] - The Coulomb gap
[Ref 1] - TKNN (quantised Hall conductance)
[Ref 1] [Ref 2] [Ref 3] - Rokshar-Kivelson quantum dimer models
[Ref 1] - Weak localisation and conductance fluctuations
[Ref 1] [Ref 2] - Lieb-Robinson bounds
[Ref 1] [Ref 2] - Coulomb gas methods
See, e.g., Chapter 9 of the “Big Yellow Book” - Anderson Localisation
[Ref 1] - Coulomb phase in frustrated systems
[Ref 1] - Large deviations
[Ref 1] [Ref 2] - Dimer packing
[Ref 1] [Ref 2] [Ref 3] - BKT transition
[Ref 1] [Ref 2] - Griffith’s phases
[Ref 1] - Replica symmetry and it’s breaking
[Ref 1] - Lifshitz tails: bound states in random potentials
[Ref 1] - Anderson-Higgs mechanism in superconductors
[Ref 1] - Lee-Yang and Fisher zeroes
[Ref 1] - Peierls transition and Peierls argument
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