Concepts of condensed matter physics Spring 2022

  • All lectures are at the Weismann auditorium on Tuesdays and Wednesdays from 9:15 to 11:00 AM. Links for recorded lectures from 2020 are given below)

  1. Literature and general reading material
  1. Lecture notes
  2. Recorded lectures  :
    1. Introduction (March 29, 2022, April 22, 2020: talk)
    2. Electrons in a periodic lattice 1 (April 5, 2022, May 5, 2020: talk)
      • (Basic concepts, Bloch theorem, Tight bonding, 1D chain, Discrete symmetries)
    3. Electrons in a periodic lattice 2 (April 6, 2022 (self watch), May 6, 2020: talknotes)
    4. Quantum Hall Effect 1 (April 12, 2022 (self watch), May 12, 2020: talk)
      • (Drude model, Classical Hall Effect, Quantum Hall Effect, Quantum conductance in 1D, Fractional Charges, Kubo Formula for conductivity, Chern numbers )
    5. Spin Models 1 (April 13, 2022, May 26, 2020: talk)
      •  (First and Second quantization of interacting particles in bands, Three Channels: Direct, Exchange and Pairing, Heisenberg Model and its Mean-Field Solution)
    6. Spin Models 2 (April 26, 2022, May 27, 2020: talk)
    7. Tutorial: Hubbard model (April 27, 2022, June 2, 2020: talk)
    8. Spin Models 3 (May 3, 2022, June 3, 2020: talk)
    9. Tutorial: Path integral and Hubbard-Stratonovich (May 10, 2022, June 9, 2020: notes-Ch.6 talk)
    10. Tutorial (Mermin-Wagner, Chern number) (May 11, 2022, June 10, 2020: notes,  talk)
    11. Superfluid 1 (May 17 2022, June 16 2020: talk)
      • (Global Gauge Symmetry, The Bose-Einstein Condensation, Weakly Interacting Bose Gas, Superfluidity, Landau's Argument, Quntized Circulation, Irrotational flow, Vortices)
    12. Superfluid 2 (May 18 2022, June 17 2020 talk)
    13. Superconductivity 
      • (Cooper pairs, BCS theory, Ginsburg -Landau Theory of Superconductors, Local gauge symmetry and the Anderson-Higgs Mechanism, Phenomenology: London Equation, Vortices, Coherence length and Penetration depth, Type I and II superconductors.)
    14. Superconductivity 1 (Turorial BCS and GL theory)(May 24 2022, June 23 2020: notes talk)
    15. Superconductivity 2 (May 25 2022, June 25 2020: talk)
    16. Superconductivity 3 [Phenomenology](May 31 2022, June 30 2020: talk)
    17. The 2D XY Model: The Berezinskii-Kosterlitz-Thouless transition(May 31 2022, July 7 2020: notes talk)
      • (Vortices in the XY model, Kosterlitz-Thouless Argument, Describing vortices as a Coulomb gas, RG Approach, The order of the KTB phase transition, Coulomb gas and the Sine-Gordon mapping (Momentum RG))
    18. 2D XY Model 2 (June 1 2022, July 8 2020: talk)
    19. 2D XY Model 3 (June 7 2022, July 14 2020: talk)
    20. 2D XY Model 4 (June 8 2202, July 15 2020: talk)
    21. 2D XY Model 5 (June 14 2021. July 21 2020: talk)
    22. Superconductivity 4 (Turotial: RG for the Cooper channel)(June 15 2022, July 1 2020: talk)
    23. Superconductivity 4.5 (Turotial Continue)(June 21 2022, July 7 2020: talk)
    24. Quantum Hall Effect 2  (XXXX 2022, May 13 2020: talknotes)
    25. Symmetry and Topology 1 (XXXX 2022, May 19 2020: talk)
      • (Berry phase, Dirac Strings, Discrete Symmetries, Haldane Model, Topological insulator)
    26. Symmetry and Topology 2 (XXXX 2022, May 20 2020: talknotes)
    27.  
    28.  
  3. Exercises
    1. Exercise 1 Due date May 17, 2022
    2. Exercise 2 Due date May 31, 2022
    3. Exercise 3 Due date June 14, 2022
    4. Exercise 4 Due date July  4 2022