Quantum Matter: Superconductors, Superfluids, and Fermi Liquids - Material for the year 2019-2020

2019-2020
External Lecturer(s): 
Prof. Steve Simon
Course Term: 
Trinity
Course Weight: 
1.00 unit(s)

Assessment type:

Course Overview: 

16 lectures.
Areas: CMT
Please use this page to submit your homework for the Quantum Matter: Superconductors, Superfluids, and Fermi Liquids classes via the assignments tab.

Course Synopsis: 

Intro to Superfluids and Superconductors
Two Fluid Model and Vortices
Landau Criterion and Intro to Charged Superfluids / London Theory
Superconducting Vortices / Type I and Type II Superconductors
Microscopic Theory / Second Quantization / Gross Pitaevskii and Bogoliubov Theory
Feynman Theory of Superfluidity
Ginzburg Landau Theory / Anderson Higgs Mechanism / Coherence Length / Vortex Structure
Interacting Fermions / Second Quantization / First Order Perturbation Theory / Hartree and Fock Terms
Hartree Fock Theory
Coulomb Interaction / Screening and Response
Linear Response Theory / Lindhard, Thomas Fermi, RPA / Plasmons
Landau Theory of Fermi Liquids part 1
Landau Theory of Fermi Liquids part 2
BCS theory part 1: Phonon Attraction Mechanism / Cooper Problem
BCS wavefunction
Bogoliubov Excitation Spectrum
plus if time permits
Quantum Hall Effect / Laughlin Gauge Invariance Argument
Chern Numbers / Quantum Spin Hall / Topological Insulators in 2 and 3 D
Fractional Quantum Hall Effect