Statistical Physics and Condensed Matter Theory 1 Extension (January 2017)
How does it work?
This extension requires that you (individually, or in teams):
 choose a specific advanced topic, going beyond the contents of SPCMT1 (specific examples are given below; you are not limited to those themes)
 explore the theme as deeply as possible, by using all forms of scientific literature and eventually consultation with experts
 prepare a presentation (indication: 15 minutes per person) of your findings for the benefit of your costudents
The presentations will take place during the Projects Festival around the beginning of February.
All people who do a presentation get 3 EC credits. There is no grading, only a pass mark.
Participants should email me by Friday 13 January 2017 with their choice of subject and team composition.
You can listen to the introductory presentation to get some inspiration.
Project ideas

The onedimensional electron gas
 General concepts
 2.2.4 Interacting fermions in 1d
 Prob. 2.4.6 Spincharge separation in 1d
 4.3 Field theoretical bosonization: a case study
 4.3.1 Onedimensional electron gas (fermionic theory)
 4.3.2 Onedimensional electron gas (bosonic theory)
 Prob. 4.5.4 Bosonfermion duality
 Prob. 4.5.8 Disordered quantum wires
 Prob. 6.7.9 Functional bosonization
Other resources:

Tunneling and instantons
 3.3 Applications of the Feynman path integral
 3.3.1 Quantum particle in a well
 3.3.2 Double well potential: tunneling and instantons
 3.3.3 Tunneling of quantum fields: “fate of the false vacuum”
 3.3.4 Tunneling in a dissipative environment (CaldeiraLeggett model)
 Prob. 3.5.3 Depinning transition and bubble nucleation
 Prob. 3.5.4 Tunneling in a dissipative environment
 Prob. 3.5.6 Particle in a periodic potential
Other resources:

The Kondo problem
 Prob. 2.4.7 The Kondo problem
 Prob. 5.5.4 Kondo effect: perturbation theory
 Prob. 8.8.5 Kondo effect: poor man’s scaling
Other resources:

BoseEinstein condensation and superfluidity
 6.3 BoseEinstein condensation and superfluidity
 6.3.1 BoseEinstein condensation
 6.3.2 The weakly interacting Bose gas
 6.3.3 Superfluidity
Other resources:

Superconductivity
 6.4 Superconductivity
 6.4.1 Basic concepts of BCS theory
 6.4.2 Cooper instability
 6.4.3 Meanfield theory of superconductivity 6.4.4 Superconductivity from the field integral
 6.4.5 GinzburgLandau theory
 6.4.6 Action of the Goldstone mode
 6.4.7 Meissner effect and AndersonHiggs mechanism
 Prob. 6.7.2 Temperature profile of the BCS gap
 Prob. 6.7.3 Fluctuation contribution to the GinzburgLandau action
Other resources:

Electrons in disordered environments (mesoscopics)
 6.5 Field theory of the disordered electron gas
 6.5.1 Disorder in metals
 6.5.2 Replica field theory
 6.5.3 Basic notions of impurity scattering
 6.5.4 Diffusion
 6.5.5 Meanfield theory and spontaneous symmetry breaking
Other resources:

Quantum dots and Josephson junctions
 Prob. 6.7.4 Coulomb blockade
 Prob. 6.7.5 Action of a tunnel junction
 Prob. 6.7.6 Josephson junction
Other resources:

Response functions
 7.1 Crash course in experimental techniques
 7.2 Linear response theory
 Prob. 7.6.1 Orthogonality catastrophe
 Prob. 7.6.2 RPA dielectric function
 Prob. 7.6.3 EM response of a quantum dot
 Prob. 7.6.4 Hall conductivity
Other resources:
 Most good books on manybody physics contain a review of linear response theory and the Kubo formalism
 You can also find good reviews for specific experimental methods, an excellent example being A. Furrer, J. Mesot and T. Strässle's book Neutron Scattering in Condensed Matter Physics

Renormalization
 8.1 The onedimensional Ising model
 8.3 Renormalization group: general theory
 8.6 BerezinskiiKosterlitzThouless transition
 Prob. 8.8.2 Quantum criticality
 Prob. 8.8.4 Scaling theory of Anderson metalinsulator transition
Other resources:

Topology
 9.2 Homotopy
 9.3 Thetaterms
 9.4 WessZumino terms
 9.5 ChernSimons terms
 Prob. 9.7.4 Fractional quantum Hall effect: physics at the edge
Other resources: