Theory of Solids II

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.

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