EE506 Semiconductor Physics
Homework Assignment #1
Prof. Steve Cronin
Due Sept. 13, 2011
Electronic Bandstructure:
1.) Empty Lattice Approximation: Consider a two-dimensional rectangular lattice:
a. The real space lattice vectors are given by Ri,j = (ia,
EE506 Semiconductor Physics
University of Southern California
Professor Steve Cronin ([email protected])
Office: PHE 624
Tuesday and Thursday 9:30-10:50AM
Office Hours: Thursday 11-1PM
Course Website: http:/blackboard.usc.edu
Goals: This course will cover t
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
ab initio calculations
The Hamiltonian for the entire electronic and ionic system without any assumptions:
After the Born-Oppenheimer Appro
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
Modifying E(k)
3D
Materials Selection
E(k) in Nanostructures
Quantum Well
Si: Eg = 1.11 eV
Ge: Eg = 0.66 eV
Si
Ge
Si
e-
Energy band offsets
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
Density of States (7)
Density of States (DOS)
DOS is one of the important differences between bulk
materials and nanoscale materials.
Elect
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
Tight Binding Method (4)
Tight Binding Method
(Polyacetylene)
2 inequivalent C atoms
2D Graphite
Real Space
Reciprocal Space
2D Graphite
Ti
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
Empty Lattice Approximation
Empty Lattice Approximation
E(k) for a BCC empty Lattice
Empty Lattice Approximation
E(k) for a BCC empty Latti
Semiconductor Physics
EE.506
Steve Cronin
University of Southern California
Electrical Engineering - Electrophysics
Book
Also, class slides posted on blackboard.
Periodic Structures
(crystals)
Primitive Unit Cells
5 Bravais Lattices (2D)
Bravais lattice,
EE506 Semiconductor Physics
Homework Assignment #6
Prof. Steve Cronin
Due November 22, 2011
Optical Properties:
1.)
a. At what carrier density does Si with a mobility of 1450cm2/Vs and core=12
begin to have a plasma frequency?
b. Using the results in (a.)
EE506 Semiconductor Physics
Homework Assignment #5
Prof. Steve Cronin
Due November 10, 2011
Scattering and Boltzmann Transport:
1.) Consider n-type Si (n=1017cm-3) in a weak magnetic field, rotated between the (100)
and (110) directions.
a. Calculate the
EE506 Semiconductor Physics
Homework Assignment #4
Prof. Steve Cronin
Due October 25, 2011
For this problem set, you should turn in both a paper copy of the solutions and an
electronic copy of your MatLab program. Email this to me at [email protected]
Ther
EE506 Semiconductor Physics
Homework Assignment #3
Prof. Steve Cronin
Due Oct 11, 2009
Pseudopotential Calculations:
In this part of the assignment, you will have to run a pseudopotential software
package called ABINIT. If you want to install the software
EE599 Innovation and Nanotechnology
Homework Assignment #2
Prof. Steve Cronin
Due Sept 27, 2011
Carbon Nanotubes:
In the following problems, write a MatLab* program that includes a function for
each of the quantities requested below. When you turn in this
EE506 Semiconductor Physics
Homework Assignment #7
Prof. Steve Cronin
Due December 1, 2011
Phonon Dispersion Relations:
In this assignment you will write a program in MatLab that calculates the phonon
dispersion relations in graphene using the dynamical m