Notes for Lecture 6
Electrons, Holes
In the previous lecture, we discussed the valence band and the conduction band in
a semiconductor. We also discussed how at T = 0 the valence band is full while the
conduction band is empty. Here, we begin to consider
Notes for Lecture 5
Valence Band, Conduction Band
5.1
Energy Band H crystal in 1D, cont.
Let us summarize what we gured out in the last lecture.
We learned that for the 1s band of a 1D H crystal, we can take neighboring 1s
orbitals orthogonal to each othe
Notes for Lecture 4
Molecule, Energy Band
4.1
4.1.1
Hydrogen Molecule, cont.
+
H2 overview
Two protons. One at position a and the other at position b. One electron with charge
e. When a and b are far away from each other. The electron belongs in one proto
Notes for Lecture 3
Atoms, Molecules
3.1
Hydrogen Atom, continued
By solving
m
1 e2
v2
=
r
40 r2
(3.1)
and
mvr = n ,
n = 1, 2, 3,
(3.2)
together, we can get orbit quantization and energy quantization, the latter of
which is exact even in the full-blown q
Notes for Lecture 2
Miller Indices, Quantum
Mechanics
2.1
Directions
For a given crystal, there is a conventional notation for the direction.
Say, we have a basis and three (primitive translation) vectors a, b, and c. Then,
we have the following denition.
Notes for Lecture 1
Crystal
Crystals of semiconductors, Si crystals, GaAs crystals, CdTe crystals etc., are the
basic starting point from which all miracle devices are built on. Note, however,
that a non-crystal (e.g., amorphous or polycrystalline Si) is
Homework 8
Phys. 156, UCSC, S2011
Due June 2, Thursday
Problem 1 (30 points) Problem T3.12(b,e,f).
Problem 2 (30 points) Read and summarize (in a short one paragraph each) the
core qualitative physics of the two reverse breakdown mechanisms, avalanche
bre
Homework 7
Phys. 156, UCSC, S2011
Due May. 24, Tuesday
Throughout this homework (except the last problem), assume the following, unless
stated otherwise.
n = n0 + n
pn = pn,0 + pn
Here the subscript 0 means the equilibrium, and the subscript n means n typ
Homework 6
Phys. 156, UCSC, S2011
Due May. 12, Thursday
(with one day grace period for this one only)
Problem 1 (30 points) Consider, again, the electron distribution function, gc (E )f (E ),
and the hole distribution function, gv (E )(1 f (E ) (cf. page
Homework 5
Phys. 156, UCSC, S2011
Due May. 5, Thursday.
Problem 1 (20 points) Let us calculate the density of states (DOS) for the dispersion
relation
22
k
(k ) =
2m
where k = |k | is the magnitude of a three dimensional wave vector k . In the k
space, th
Homework 4
Phys. 156, UCSC, S2011
Due Apr. 28, Thursday.
Problem 1 (20 points) Consider a wave, whose amplitude (x, t) is given by
d g ( ) exp[i(x t)]
(x, t) =
where g ( ) is a function of the wave vector variable , as is the frequency . If
g ( ) is a fu
Homework 3
Phys. 156, UCSC, S2011
Due Apr. 21, Thursday.
NOTICE
Two problems at end are removed now, relative to the print-out version that was
distributed in class. Do the following 4 problems, instead of 6 problems. The
now-removed problems will be incl
Homework 2
Phys. 156, UCSC, S2011
Due Apr. 14, Thursday.
Problem 1 (20 points) Quantum Strand: Quantum Tunneling Activity at
http:/et.portal.concord.org/activities/. Note: (1) Please do Intro and Admin: Activities: Survey rst, if you havent done it yet. (
Homework 1
Phys. 156, UCSC, S2011
Due Apr. 7, Thursday.
Problem 1 (20 points) 1.5 of Pierret. For the programming part, Matlab or Python
is recommended. However, any language that you feel comfortable with is
acceptable. Include your source code in your s
Exam 1
Phys. 156, UCSC, S2011
May 5, 2011. Total of 3 pages.
You need to show important steps leading to the answer, unless instructed
otherwise. For all numerical answers, using two signicant gures is acceptable.
Good luck!
1. (10 points) What is the val