Syllabus

Course Meeting Times

Lectures: 2 sessions / week, 1.5 hours / session

Prerequisite

Theory of Solids I (8.511)

Outline

  1. Linear response theory:
    • Fluctuation dissipation theorem
    • Scattering experiment
    • F-sum rule
  2. Physics of disorder:
    • Kubo formula for conductivity
    • Conductance and sensitivity to boundary conditions
    • Scaling theory of localization
    • Mott variable range hopping
    • Quantum Hall effect
  3. 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
  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. 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

  1. Linear response theory:
    • Fluctuation dissipation theorem
    • Scattering experiment
    • F-sum rule

  2. Physics of disorder:
    • Kubo formula for conductivity
    • Conductance and sensitivity to boundary conditions
    • Scaling theory of localization
    • Mott variable range hopping
    • Quantum Hall effect

  3. 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

  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. 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.