ENEE600
http://www.sis.umd.edu/bin/soc?term=200708&crs=ENEE
This course reviews the
basics of solid state physics, with emphasis on semiconductors. We will begin
with the crystal structures and the classical aspects of free electron theory
of metals, followed by the properties of lattice vibrations. Phonons,
within the harmonic crystal oscillators and anharmonic
models, will then be discussed. Because of the practical need to explain many
other phenomena that cannot be understood within the classical picture, the
concept of band structure and Bloch states in periodic structures will
be discussed. The various topics in this section are: Fermi level, Fermi-Dirac
distribution, effective mass theorem, doping in semiconductors, and transport
theory, including mobility, scattering mechanisms, electron temperature,
screening, etc. Optical properties are to be reviewed. We will start
with a general discussion on dielectric constant and fundamental excitations.
Optical processes, including luminescence and Raman scattering, and their
general applications, will be discussed. Surface becomes more important
as devices are made smaller. We will review the important surface related
physics results on semiconductors, reduced dimensions, heterojunctions,
quantum wells, and the quantum Hall effect. Magnetic properties will be
briefly reviewed, and the subjects include the origin of magnetism, dia- and paramagnetism. Superconductivity
and tunneling diodes are to be discussed at the end.
Homework: Calculate the
dispersion relation within the Kronig-Penny model, that
is, the energy versus wavevector. First, follow what
is in Chapter 7, Kittel, and derive the equations. But,
do not simplify the barriers by delta functions. Stick to that lengthy equation
and calculate and plot the dispersion relation. Find how
would the dispersion relation change as (1) the barriers become wider; (2)
the well becomes wider; and (3) the barriers become higher. You can use real
numbers if you think it would simplify your calculation. Due 2
October 2007, in class.