# Quantum Matter: Superconductors, Superfluids, and Fermi Liquids - Material for the year 2020-2021

**We have updated our Undergraduate exams guidance in preparation for the Trinity Term examinations.**

**Please see our new webpages dedicated to TT exams.**

### Assessment type:

- Invigilated written examination in TT or no formal assessment; homework completion

16 lectures.

Areas: CMT

Link to submit your homework to TA Matthew Steggles: https://cloud.maths.ox.ac.uk/index.php/s/x2G8A9QgRrsaFoJ

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