8.512 Theory of Solids II
Spring 2016
Instructor: Liang Fu
TA: Ksheerasagar Vijay
Lecture:
TR1-2.30
(4-159)
Recitation/Make-up class: F1-2
(2-142)
Quiz I: March 10 (Thursday)
Quiz II : April 28 (Thursday)
Outline:
1. Superconductivity
Review of BCS theory
Quasiparticles and coherence factors
Ginzburg-Landau theory
vortices and type II superconductors
Tunneling and Josephson effect
2. Linear response theory
Fluctuation dissipation theorem
Scattering experiment
f-sum rule
Electrodynamics of metals and superconductors
3. Physics of disorder
Kubo formula for conductivity
Conductance and sensitivity of boundary conditions
Scaling theory of localization
Quantum Hall effect
Effect of disorder in superconductors
4. Magnetism
Local moment magnetism, exchange interaction
Ferro- and anti-ferro magnet and spin wave theory
Band magnetism: Stoner theory, spin density wave
5. Local moment in metals
Friedel Sum rule
Friedel-Anderson model
Kondo problem: singlet ground state
Kondo resonance
6. Topological insulators and superconductors
Chern insulators: Quantum Hall effect without Landau levels
Bulk-boundary correspondence
Time-reversal-invariant topological insulators
Topological classification
Recommended Readings:
1. de Gennes, Superconductivity of Metals and Alloys
2. Chaikin and Lubensky, Principles of Condensed Matter Physics
Announcements
Problem Set 7 Posted
Problem Set 7 has been posted and is due next Tuesday (04/26).
- Sagar
Announced on 21 April 2016 12:32 a.m. by Ksheerasagar Vijay
Lecture 9: Linear Response of Free Electron Gas
We derive the momentum- and frequency-dependent density response function of free electron gas, and find different results in q->0 and omega->0 limits.Announced on 14 April 2016 11:02 a.m. by Liang Fu
Lecture 8: f-sum rule
We derive the sum rule based on charge conservation, and discuss its implication on spectral weight in optical conductivity measurements and the change of spectral weight in phase transitions.Announced on 14 April 2016 11:00 a.m. by Liang Fu
Problem Set 6 Posted
Problem Set 6 has been posted and is due next Tuesday (04/05).
- Sagar
Announced on 30 March 2016 9:31 p.m. by Ksheerasagar Vijay
Problem Set 5
Problem Set 5 has been posted and is due next Thursday (03/10), along with Problem set 4.
- Sagar
Announced on 01 March 2016 2:48 p.m. by Ksheerasagar Vijay
