Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
Prerequisite
Theory of Solids I (8.511)
Outline
- Linear response theory:
- Fluctuation dissipation theorem
- Scattering experiment
- F-sum rule
- Physics of disorder:
- Kubo formula for conductivity
- Conductance and sensitivity to boundary conditions
- Scaling theory of localization
- Mott variable range hopping
- Quantum Hall effect
- Superconductor revisited:
- Transverse response: Landau diamagnetism
- Microscopic derivation of London equation
- Effect of disorder
- Quasiparticles and coherence factors
- Ginzburg-Landau theory
- Vortices and type II superconductors
- Tunneling and Josephson effect
- Magnetism:
- Local moment magnetism, exchange interaction
- Ferro- and anti-ferro magnet and spin wave theory
- Band magnetism — Stoner theory, spin density wave
- Local moment in metals:
- Friedel sum rule
- Friedel-Anderson model
- Kondo problem: singlet ground state
- Kondo resonance
- Fermi liquid theory:
- Electron spectral function
- Quasi-particles and Landau interaction parameters
- Fermi liquid interpretation of the Kondo ground state
Grading
The course grade is based entirely on the 12 homework assignments.
Theory of Solids I (8.511)
Outline
- Linear response theory:
- Fluctuation dissipation theorem
- Scattering experiment
- F-sum rule
- Physics of disorder:
- Kubo formula for conductivity
- Conductance and sensitivity to boundary conditions
- Scaling theory of localization
- Mott variable range hopping
- Quantum Hall effect
- Superconductor revisited:
- Transverse response: Landau diamagnetism
- Microscopic derivation of London equation
- Effect of disorder
- Quasiparticles and coherence factors
- Ginzburg-Landau theory
- Vortices and type II superconductors
- Tunneling and Josephson effect
- Magnetism:
- Local moment magnetism, exchange interaction
- Ferro- and anti-ferro magnet and spin wave theory
- Band magnetism — Stoner theory, spin density wave
- Local moment in metals:
- Friedel sum rule
- Friedel-Anderson model
- Kondo problem: singlet ground state
- Kondo resonance
- Fermi liquid theory:
- Electron spectral function
- Quasi-particles and Landau interaction parameters
- Fermi liquid interpretation of the Kondo ground state
Grading
The course grade is based entirely on the 12 homework assignments.