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syllabus

Syllabus

  1. Fundamentals of band structure
    • Free electron gas
    • Bloch theorem
  2. Boltzmann transport equation
    • motion in constant E field → Drude result
    • diffusion
    • phonon scattering mechanism
  3. Quantum transport
    • elastic vs inelastic scattering
    • 1d wire no scattering
    • Landauer formalism
  4. Quantum to classical crossover
    • Transmission probabilities
    • Resonant tunneling
    • Incoherent scattering
    • Localization
  5. Transport in magnetic field - topological phenomena
    • Vector potential and electron phase
    • Examples: AB effect & QHE
  6. Tunneling
    • WKB approx & STM
    • Fermi golden rule
    • Coulomb blockade (class project)
  7. Superconductivity
    • Meissner effect, flux quantization, length scales
    • BCS theory
    • High temperature superconductors

Other

  • Metal-Insulator transition
  • Difference between Mott insulator and Anderson localization
  • Thomas-Fermi screening
  • Other oscillatory B-field effects (Shubnikov-de Haas, de Haas-van Alphen, etc)
  • Coulomb blockade

Web and other resources

Free electron gas

Phonons

Thermal Transport

Semiconductors

Disorder

AB effect

QHE

  • Schwarzchild PT 1985 Nobel article
  • Avron PT 2003 - Physics Today Article on the QHE
  • Macdonald's article on the integer QHE and other QHEs phenomena is at quite a high level, but worth looking at because it addresses many of the complexities. Note p197 is misplaced in this version.
  • The Marcus group theses have many studies of the QHE and other mesoscopic systems. In particular, I found McClure's thesis helpful.

Tunneling

Superconductivity

Journals

Free access (usually) from OSU domain. If not in OSU domain, access from the OSU Library page. If OSU does not subscribe, then request article via inter-library loan.

syllabus.txt · Last modified: 2020/03/06 09:14 by 127.0.0.1