CMT Journal Club

Timetable for Michaelmas Term 2018

Time, Place: Mondays 11-12 in the Theory Lounge.

2018/10/22 – Neil RobinsonLuttinger Liquids
2018/10/29 – Jasper van WezelGoldstone modes and Mermin-Wagner theorem
2018/11/05 – Schelto CroneThe AKLT model
2018/11/12 Koen GroenlandLieb-Mattis theorem (venue change: “Fish bowl”)
2018/11/19 – Bart de KlerkHolography/Maldacena’s conjecture
2018/11/26 – Yuan MiaoLieb-Schultz-Mattis theorem
2018/12/03 – Wouter Buijsman – Random-matrix theory of quantum transport
2018/12/10 – Bart van VoordenTBC
2018/12/17 – Daniel ChernowitzTBC

Some future “classic topics” 

Old papers, “common knowledge”, things that often crop up in seminars.

  1. The Haldane Conjecture
    [Ref 1] [Ref 2] [Ref 3]
  2. Luttinger’s Theorem
    [Ref 1] [Ref 2]
  3. 2D Ising Model (Onsager’s Solution, etc)
    [Ref 1]
  4. RG for Fermi liquids
    [Ref 1]
  5. Homotopy and defects
    [Ref 1]
  6. Random singlet phases
    [Ref 1] [Ref 2]
  7. The Kondo problem and poor man’s scaling
    [Ref 1] [Ref 2] [Ref 3]
  8. The x-ray edge problem (and orthogonality catastrophe)
    [Ref 1]
  9. The Coulomb gap
    [Ref 1]
  10. TKNN (quantised Hall conductance)
    [Ref 1] [Ref 2] [Ref 3]
  11. Rokshar-Kivelson quantum dimer models
    [Ref 1]
  12. Weak localisation and conductance fluctuations
    [Ref 1] [Ref 2]
  13. Lieb-Robinson bounds
    [Ref 1] [Ref 2]
  14. Coulomb gas methods
    See, e.g., Chapter 9 of the “Big Yellow Book”
  15. Anderson Localisation
    [Ref 1]
  16. Coulomb phase in frustrated systems
    [Ref 1]
  17. Large deviations
    [Ref 1] [Ref 2]
  18. Dimer packing
    [Ref 1] [Ref 2] [Ref 3]
  19. BKT transition
    [Ref 1] [Ref 2]
  20. Griffith’s phases
    [Ref 1]
  21. Replica symmetry and it’s breaking
    [Ref 1]
  22. Lifshitz tails: bound states in random potentials
    [Ref 1]
  23. Anderson-Higgs mechanism in superconductors
    [Ref 1]
  24. Lee-Yang and Fisher zeroes
    [Ref 1]
  25. Peierls transition and Peierls argument

Suggested “recent topics”

  1. Quasi-particle breakdown in quantum magnets
  2. Quantum many-body scars

Recently covered “classic topics”

  1. Luttinger Liquids
    See, e.g., the introductory chapters of Giamarchi’s book
  2. AKLT model
    [Ref 1]
  3. Lieb-Mattis Theorem
    [Ref 1]
  4. Random matrix theory for quantum transport
    [Ref 1]
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