COURSE TIME:
MoWe 11:00 am -12:20 pm, Roessler 158.
INSTRUCTOR 1: Richard Scalettar, scalettar@physics.ucdavis.edu
OFFICE: Physics-Geology 409.
OFFICE HOURS: We. 12:20-2:00; or by appointment.
INSTRUCTOR 2: Warren Pickett, pickett@physics.ucdavis.edu
OFFICE: Physics-Geology 427.
OFFICE HOURS: TBA
REQUIRED TEXT: None
USEFUL BOOKS:
`Condensed Matter Physics', M. Marder
'Lecture Notes on Electron Correlation and Magnetism',
P. Fazekas
2) The Heisenberg Hamiltonian (Scalettar)
What is the Heisenberg Hamiltonian?
For what materials might it be an appropriate model?
Exact solution of two and four site systems.
Numerical solution: Exact diagonalization.
Spin Waves.
Quantum Monte Carlo.
3) The Hubbard Hamiltonian (Scalettar)
What is the Hubbard Hamiltonian?
What are some of the simple arguments for its basic properties?
For what materials might it be an appropriate model?
(How do we get from many bands to a single band?)
Numerical solution: Exact diagonalization.
Mean field theory of the Hubbard model.
Quantum Monte Carlo.
4) Density Functional Theory and Real Materials (Pickett)
What is density functional theory?
How is magnetism treated within density functional theory?
What are some of the detailed magnetic properties of real materials
that model Hamiltonians would not be good at looking at, but which
DFT might get better insight into?