1
Lecture contents
Semiconductor statistics
Transport
NNSE 508 EM Lecture #11
2
Statistics of carriers: General
Electron concentration at the energy E
(Density of states) x (distribution function):
Electron concentration in the energy range
E to E+dE cl

NENG 452
1. The figure below shows the dependence of the
intrinsic carrier concentration on inverse
temperature for a semiconductor material. What is
the energy gap of this semiconductor?
Hint: you may neglect the temperature dependence
of the densities o

NNSE 508 EM
Home assignment # 4
Due: March 1, 2011
1. A region between the capacitor plates is filled by amorphous selenium with a dielectric
constant of 6.0 and a concentration of 3.67x1028 atoms/m3.
(a) Estimate the polarizability of a selenium atom.
(b

NNSE 508 EM
Home assignment # 5
Due: March 05, 2014
1. The effective densities of states in the conduction and valence bands of GaAs at room
temperature are 4.7x1017 cm-3 and 7x1018 cm-3, respectively. The energy gap of GaAs is 1.42
eV.
(a) How many elect

1
Lecture contents
Bloch theorem
k-vector
Brillouin zone
Tight-binding model
Almost free-electron model
Bands
Effective mass
Holes
NNSE 508 EM Lecture #9
2
Translational symmetry: Bloch theorem
One-electron Schrdinger equation (each state can accommodate

1
Lecture contents
A few concepts from Quantum Mechanics
Solid state physics review
Approximations
NNSE 508 EM Lecture #8
2
Few concepts from Quantum Mechanics
Psi-function (, )
Schrdinger equation
Hamiltonian
If does not depend on time
General Schr

NNSE 508/NENG452
Home assignment # 1
Due: February 05, 2014
1. Electric field is 2 V/cm everywhere on surface of a 10 cm diameter sphere and is
centered on origin of the sphere. What is the net charge (sign and value) inside the
sphere?
2. Calculate elect

NNSE 508 EM
Home assignment # 2
Due: February 17, 2014
1. Calculate a magnetic field of a thin long straight conductor with current I using both
Bio-Savart law and Ampere's circuital law. Show that the results are the same.
2. Show that in the field of el

NNSE 508 EM
Home assignment # 3
Due: February 24, 2014
1. For a normal incidence of plane monochromatic EM wave from a medium with
impedance 1 to a medium with impedance 2,
a) write the wave phasors (electric and magnetic fields) for incident, transmitted

NNSE 508 EM
Home assignment # 4
Due: March 03, 2014
1. A region between the capacitor plates is filled by amorphous selenium with a dielectric
constant of 6.0 and a concentration of 3.67x1028 atoms/m3.
(a) Estimate the polarizability of a selenium atom.
(

NENG 452
Home assignment # 7
Due: May 02, 2014
1. A heterostructure with a 6 nm thick GaAs quantum well (QW) as shown in the Figure is doped
11
-2
to have electron concentration of 10 cm in the QW at room temperature. The sample is
4
-1
illuminated with i

1
Lecture contents
Transport, scattering
Generation/recombination
E
Ec
Et
Ev
Band-to-band
recombination
Auger
Trap-assisted (SRH)
recombination
recombination
and generation
NNSE508 / NENG452 Lecture #13
2
Electron transport: General considerations
How f

1
Lecture contents
Magnetic properties
Diamagnetism
Band paramagnetism
Atomic paramagnetism
NNSE508 / NENG452 Lecture #14
2
Magnetic units
B
H
M
m
M/r
1 Wb T m2
1T
V s
m2
Wb T m2
1H
A
A
From Tremolet de Lacheisserie, 2005
NNSE508 / NENG452 Lecture #14
3

1
Lecture contents
Dielectrics. Polarization
Linear polarizability
Clausius-Masotti equation
Frequency dependence of polarizability
EM/optical properties of dielectrics
Ferroelectrics and piezoelectrics
NNSE 508 EM Lecture #7
2
Charge and Polarization
Pol

1
Lecture contents
Metals: Drude model
Conductivity frequency dependence
Plasma waves
Difficulties of classical free electron model
NNSE 508 EM Lecture #6
2
Phenomenology of electron transport: relaxation time
In conductors, valence electrons are tre

1
Lecture contents
Macroscopic Electrodynamics -2
Skin effect
Boundary conditions, wave propagation through interface
Wave packet, group velocity, dispersion
Circuits
NNSE 508 EM Lecture #5
2
Medium with losses
12
2
1
1
1
2
After some long

1
Lecture contents
Density of states
Statistics
Metals: transport
NNSE 508 EM Lecture #10
2
Density of states
How to fill the states in almost free electron band structure ?
1. Calculate number of states per unit energy per unit volume
2. Use Pauli exc

1
Lecture contents
Density of states
Statistics
Metals: transport
NNSE 508 EM Lecture #10
Density of states
2
How to fill the states in almost free electron band structure ?
1. Calculate number of states per unit energy per unit volume
2. Use Pauli exclus

1
Lecture contents
Magnetic properties
Diamagnetism
Band paramagnetism
Atomic paramagnetism
Ferromagnetism
Molecular field theory
Exchange interaction
NNSE 508 EM Lecture #12
[SI]
Magnetic properties of materials
B 0 H M
2
B 0 R H
M cH
R 1 c
M magneti

NNSE 508 EM
Home assignment # 1
Due: January 27, 2011
1. Electric field is 2 V/cm everywhere on surface of a 10 cm diameter sphere and is
centered on origin of the sphere. What is the net charge (sign and value) inside the
sphere?
2. Calculate electric fi

NNSE 508 EM
Home assignment # 2
Due: February 03, 2011
1. Calculate a magnetic field of a thin long straight conductor with current I using both
Bio-Savart law and Ampere's circuital law. Show that the results are the same.
2. Show that in the field of el

NNSE 508 EM
Home assignment # 3
Due: February 15, 2011
1. For a normal incidence of plane monochromatic EM wave from a medium with
impedance 1 to a medium with impedance 2,
a) write the wave phasors (electric and magnetic fields) for incident, transmitted

NNSE 508 EM
Home assignment # 5
Due: March 08, 2011
1. The effective densities of states in the conduction and valence bands of GaAs at room
temperature are 4.7x1017 cm-3 and 7x1018 cm-3, respectively. The energy gap of GaAs is 1.42
eV.
(a) How many elect

NNSE 508 : "Foundations of Nanotechnology III:
Nanoscale Electronic and Magnetic Properties"
Instructor: Serge Oktyabrsky
Ph. 437-8688, Email: soktyabrsky@uamail.albany.edu
Office: NFE 4415
Text:
Electrical Properties of Materials, L. Solymar and D. Walsh

1
Lecture contents
Review: Few concepts from physics
Electric field
Coulomb law, Gauss law, Poisson equation, dipole, capacitor
Conductors and isolators 1
Electric current
Dielectric constant
NNSE 508 EM Lecture #1
2
Overview of Electromagnetics
Fund

1
Lecture contents
Magnetic field
Amperes law
Lorentz force, cyclotron frequency,
Hall effect
Dipole moment, circulation electron, spin
NNSE 508 EM Lecture #2
2
Magnetostatics: Amperes Law of Force
Experimental facts:
Two parallel wires carrying curr

1
Lecture contents
Magnetic field-2
Magnetization
Faradays law
NSE 508 EM Lecture #3
2
Differential form of Amperes Law
Applying Stokess theorem to Amperes Law
B dl B ds
C
S
0 I encl 0 J ds
Because the above must hold for any surface S, we
must have

1
Lecture contents
Macroscopic Electrodynamics
Propagation of EM Waves in dielectrics and metals
NNSE 508 EM Lecture #4
2
Maxwell Equations
Maxwell equations describing the coupling of electric and
magnetic fields
E
B
t
[SI]
[CGS]
E
1 B
c t
D
H
J
t

1
Lecture contents
Ferromagnetism
Molecular field theory
Exchange interaction
NNSE508 / NENG452 Lecture #15
2
Ferromagnetism Molecular field theory
Spontaneous magnetization occurs in some
(Ferromagnetic) materials composed of
atoms with unfilled shel