Concepts of condensed matter physics Spring 2022
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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)
- 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
- Lecture notes
- Recorded lectures :
- Introduction (March 29, 2022, April 22, 2020: talk)
- Electrons in a periodic lattice 1 (April 5, 2022, May 5, 2020: talk)
- (Basic concepts, Bloch theorem, Tight bonding, 1D chain, Discrete symmetries)
- Electrons in a periodic lattice 2 (April 6, 2022 (self watch), May 6, 2020: talk, notes)
- 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 )
- 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)
- Spin Models 2 (April 26, 2022, May 27, 2020: talk)
- Tutorial: Hubbard model (April 27, 2022, June 2, 2020: talk)
- Spin Models 3 (May 3, 2022, June 3, 2020: talk)
- Tutorial: Path integral and Hubbard-Stratonovich (May 10, 2022, June 9, 2020: notes-Ch.6 talk)
- Tutorial (Mermin-Wagner, Chern number) (May 11, 2022, June 10, 2020: notes, talk)
- 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)
- Superfluid 2 (May 18 2022, June 17 2020 talk)
- 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.)
- Superconductivity 1 (Turorial BCS and GL theory)(May 24 2022, June 23 2020: notes talk)
- Superconductivity 2 (May 25 2022, June 25 2020: talk)
- Superconductivity 3 [Phenomenology](May 31 2022, June 30 2020: talk)
- 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))
- 2D XY Model 2 (June 1 2022, July 8 2020: talk)
- 2D XY Model 3 (June 7 2022, July 14 2020: talk)
- 2D XY Model 4 (June 8 2202, July 15 2020: talk)
- 2D XY Model 5 (June 14 2021. July 21 2020: talk)
- Superconductivity 4 (Turotial: RG for the Cooper channel)(June 15 2022, July 1 2020: talk)
- Superconductivity 4.5 (Turotial Continue)(June 21 2022, July 7 2020: talk)
- Quantum Hall Effect 2 (XXXX 2022, May 13 2020: talk, notes)
- Symmetry and Topology 1 (XXXX 2022, May 19 2020: talk)
- (Berry phase, Dirac Strings, Discrete Symmetries, Haldane Model, Topological insulator)
- Symmetry and Topology 2 (XXXX 2022, May 20 2020: talk, notes)
- Exercises
- Exercise 1 Due date May 17, 2022
- Exercise 2 Due date May 31, 2022
- Exercise 3 Due date June 14, 2022
- Exercise 4 Due date July 4 2022