PHSX 545: Condensed Matter 2

Quantum Liquids:

This class covers basics of Fermi Liquid theory, charged electron liquid in metals, superfluidity in He-4, two-fluid theory, BCS theory of superconductivity, Ginzburg-Landau phenomenological approach to superconductivity and other second-order phase transitions. The particular attention will be given to concepts of low-energy quasiparticles and effective models, and spontaneous symmetry breaking.

Topics:

1. Theory of (neutral) Fermi liquid
   1. Quasiparticles
   2. Thermodynamic/Static properties
   3. Hydrodynamic description
   4. Oscillations of the liquid: sound modes
   5. *1D Luttinger liquid
2. Charged Quantum Liquids
   1. Screening
   2. Plasma Oscillations
   3. Linear Response Formulation
3. Non-ideal Bose Gas
   1. Bogoliubov excitations and rotons
4. Superfluidity (He-4)
   1. Condensate, broken symmetry and long-range order
   2. Vortices
   3. Two-fluid hydrodynamics
5. Superconductivity
   1. Cooper pairing
   2. BCS Theory
   3. Ginzburg-Landau (GL) Approach
   4. Abrikosov Vortices
6. Superfluid He-3
   1. Order Parameter and Phase Diagram
   2. GL Theory
   3. NMR

Homework and Exams:

The Final is Graded, and is in your mailboxes. (05/05/2015)
Red letter is the grade for the Class.

Some Lecture Notes:

Boltzmann equation - transport/local equilibrium