511 Solid State Physics

Spring Semester 2009, Tuesday and Thursday: 9:30 - 10:50 a.m. Room: physics 43

lecturer: Ruslan Prozorov, office: Zaffarano A119, lab A01, A02, A09, office phone: 294-9901, prozorov@ameslab.gov

grader:  Andrey Shirokov [shirokov@iastate.edu]

prerequisites: 304 Thermal Physics and 322 Introduction to Modern Physics II.

office hours: After lectures, 11AM-12PM

Texts:
N. W. Ashcroft and N. D. Mermin, "Solid State Physics", (Holt, Rinehart and Winston, New York, 1976), ISBN: 0-030-83993-9.
 Ch. Kittel, "Introduction to Solid State Physics", 8th Edition, (John Wiley and Sons, New York, 2004), ISBN 0-471-41526-X

Recommended:
A. A. Abrikosov, "Fundamentals of the Theory of Metals", (Elsevier Science Pub Co., 1988), ISBN: 0-444-87095-4.
J.M. Zaiman, "Electrons and Phonons", Oxford Univ. Press, London (1960)

NOTE: some material will only be available during the lecture and will not appear in the books. All homeworks, tests and exams will be based on the lectures. Therefore, attendance is important.

Homework: distributed each Tuesday, due on Tuesday a week after.
Paper copy of the solved homework must be placed into the grader's mailbox. Remember indicate your name.
No late submissions will be accepted.

Grading: Based on homework (40%), midterm exam (20%), and final exam (40%).

 Syllabus

Week
Date
Lecture#
Lectures/Exams
Reading
Homework
Solutions
1
Tu. 
Jan. 13
1

Introduction. General discussion of crystals.
periodicity of crystals; basic definitions; basis and lattice; Wigner-Seitz cell

AM (63-83, 112-128)
CK (1-20))

 

 
Th. 
Jan. 15
2
 Fundamental types of lattices
Point group symmetry; Bravais lattices in 2 and 3D; Miller indices of lattice planes
2
Tu. 
Jan. 20
3
Reciprocal lattice
Reciprocal lattice, Brillouin zone
 AM (86-94)
CK (23-44)

HW1
due 1/27

Th. 
Jan. 22
4
Crystal Structure
X-ray diffraction 
 AM (96-110)
CK (23-44)
3
Tu. 
Jan. 27
5
Classification of solids  
 ionic,  covalent and metallic bonding, van der Waals and Hydrogen bonds 
AM (374-393)
CK (47-59)

HW2
due 2/03

 
Th. 
Jan. 29
6

Classification of solids-II
Cohesion energy (12-6 potential, Madelung constant)

AM (396-413)
CK (60-72)
4
Tu. 
Feb. 03
7
Lattice Vibrations
phonons, dispersion relation, group velocity, relation to Brillouin zone
 AM (422-531)
CK (89-127)
Th. 
Feb. 05
8
Lattice Vibrations
quantum statistics of lattice vibrations, density of states
5
Tu. 
Feb. 10
9
Phonons
Acoustic and optical phonons. Thermal properties of insulators. Debay and Einstein models

HW4
due 2/17

Th. 
Feb. 12
10
Electrons in a Solid
Drude theory. Ohm's law.
AM (2-28)
CK (131-160)
6
Tu. 
Feb. 17
11
Electrons in a Solid
Classical Hall effect. High frequency response. Plasma frequency. Skin effect.
Th. 
Feb. 19
12
Electrons in a Solid
General transport properties. Thermal conductivity. Wiedemann-Franz law.
7
Tu. 
Feb. 24
13

Electrons in a Solid
Quantum statistics of electrons. Density of states. Sommerfeld theory of metals.

 AM (30-56)
Th. 
Feb. 26
14
Electrons in a Solid
Falure of the free electron model. Nearly free electrons.
 AM (58-62)
8
Tu. 
Mar. 03
15
Electrons in a Solid
Periodic potential, Bloch theorem, energy gap.
 AM (132-150)
CK (161-181)
preparation
for
midterm
NO HW
Th. 
Mar. 05
16
Overview before midterm exam.
  
9
Tu. 
Mar. 10
 Midterm Exam
  
Th. 
Mar. 12
17
Band structure: Band structure: weak potential and tight binding model 
 AM (152-212)
CK (232-251)
10
Mo.-Fr.
Mar. 16-20

SPRING BREAK - NO CLASSES
11
Tu. 
Mar. 24
18
Band structure: 3D 
AM (284-312)
HW7
due 3/31 
Th. 
Mar. 26
19
The central equation (weak periodic potential)
Bloch theorem and Kronig-Penny model in reciprocal space. Solution near zone boundary.
 CK (168-181)
12
Tu. 
Mar. 31
20
Semiclassical theory of electron conduction in metals
DC and AC conductivity;
AM (244-262)
HW8
due 4/07 
Th. 
Apr. 02
21

Heat capacity and conduction
thermal conductivity; thermoelectric effects
13
Tu. 
Apr. 07
22

Quantum oscillations
Landau levels; Shubnikov-de Hass and de Haas van Alphen effects

AM (271-276)
 HW9
due 4/14
Th. 
Apr. 09
23
Selected experimental techniques
electromagnetic and thermal measurements in solid-state physics
  
14
Tu. 
Apr. 14
24
Selected experimental techniques 
Magnetic resonance (NMR, EPR, FMR etc). Optical spectroscopy.
 AM (264-282)
HW10
due 4/21 
Th. 
Apr. 16
25
Insulators - I
Basic electrodynamics; Dielectric properties; optical propertiers;
AM (534-560)
CK (453-482)
15
Tu. 
Apr. 21
26
 Insulators - II
 Pyroelectricity and ferroelectricity. Multiferroics
HW11
due 4/28 
Th. 
Apr. 23
27
 Semiconductors
band structure, carrier statistics 		AM (562-588)
CK (187-208)
16
Tu. 
Apr. 28
28
Semiconductors - heterogeneous
impurity band conduction; physics of the p-n junction
AM (590-614)
CK (209-217)
Th. 
Apr. 30
29
Defects in crystals. Amorphous metals. Effects of the nanoscale.
thermodynamics and transport; polarons and excitons

AM (616 - 642)
CK (515-562, 583-595)

May 7, Thursday
9:45 a.m.
11:45 a.m.

We will continue in the Fall with Phys 512 (Magnetism and Superconductivity)

Deadlines/Details for Spring Semester 2009