Concepts of condensed matter physics Spring 2020
- Literature and general reading material
- Suggested literature
- "More is different" P. W. Anderson 1972
- "Sueprfluidty Melting and Liquid Cristal Phases in 2D" H. I. Halperin 1979
- Recorded lectures & additional lecture notes:
- Introduction (April 22: talk)
- Electrons in a periodic lattice 1 (May 5: talk)
- (Basic concepts, Bloch theorem, Tight bonding, 1D chain, Discrete symmetries)
- Electrons in a periodic lattice 2 (May 6: talk, notes)
- Quantum Hall Effect 1 (May 12: talk)
- (Drude model, Classical Hall Effect, Quantum Hall Effect, Quantum conductance in 1D, Fractional Charges, Kubo Formula for conductivity, Chern numbers )
- Quantum Hall Effect 2 (May 13: talk, notes)
- Symmetry and Topology 1(May 19: talk)
- (Berry phase, Dirac Strings, Discrete Symmetries, Haldane Model, Topological insulator)
- Symmetry and Topology 2 (May 20: talk, notes)
- Spin Models 1 (May 26: talk)
- (First and Second quantization of ineteracting particles in bands, Three Channels: Direct, Exchange and Pairing, Hisenberg Model and its Mean Field Solution)
- Spin Models 2 (May 27: talk)
- Tutorial: Hubbard model (June 2: talk)
- Spin Models 3 (June 3: talk)
- Tutorial (Path integral and Hubbard-Stratonovich) (June 9: notes-Ch.6 talk)
- Tutorial (Mermin-Wagner, Chern number) (June 10: notes-Chs.5&14 talk)
- Superfluid 1 (June 16: talk)
- (Global Gauge Symmetry, The Bose-Einstein Condensation, Weakly Interacting Bose Gas, Superfluidity, Landau's Argument, Quntized Circulation, Irrotational flow, Vortices)
- Superfluid 2 (June 17: talk)
- Superconductivity 1 (Turorial BCS theory)(June 23: notes talk)
- (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.)
- Superconductivity 2 (June 24: talk)
- Superconductivity 3 [Phenomenology](June 30: talk)
- Superconductivity 4 (Turotial: RG for the Cooper channel)(July 1: talk)
- Superconductivity 4.5 (Turotial Continue)(July 7: talk)
- The 2D XY Model: The Berezinskii-Kosterlitz-Thouless transition(July 7: 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))
- 2D XY Model 2 (July 8: talk)
- 2D XY Model 3 (July 14: talk)
- 2D XY Model 4 (July 15: talk)
- 2D XY Model 5 (July 21: talk)
- Remarks on Haldane model, Summary (July 22: talk)
- Exercises
- Exercise 1 : Due date May 28
- Exercise 2 : Due date June 11 (Helpful tutorial notes for Q2, Lecture notes Chapter 14.4)
- Exercise 3 : Due date June 29 (Helpful notes Chapters 5 and 6 of the lecture notes)
- Exercise 4: Due date July 13
- Exercise 5: Due date July 24
