Handout 7
Properties of Bloch States and Electron
Statistics in Energy Bands
In this lecture you will learn:
Properties of Bloch functions
Periodic boundary conditions for Bloch
functions
Density o
Handout 16
Electrical Conduction in Energy Bands
In this lecture you will learn:
The conductivity of electrons in energy bands
The electron-hole transformation
The conductivity tensor
Examples
Bl
Handout 17
Lattice Waves (Phonons) in 1D Crystals: Monoatomic Basis and
Diatomic Basis
In this lecture you will learn:
Equilibrium bond lengths
Atomic motion in lattices
Lattice waves (phonons) in
Handout 20
Quantization of Lattice Waves:
From Lattice Waves to Phonons
In this lecture you will learn:
Simple harmonic oscillator in quantum mechanics
Classical and quantum descriptions of lattice
Handout 12
Energy Bands in Group IV and III-V Semiconductors
In this lecture you will learn:
The tight binding method (contd)
The energy bands in group IV and group III-V semiconductors with
FCC lat
Handout 29
Optical Transitions in Solids, Optical Gain, and
Semiconductor Lasers
In this lecture you will learn:
Electron-photon Hamiltonian in solids
Optical transition matrix elements
Optical abs
Handout 18
Phonons in 2D Crystals: Monoatomic Basis and Diatomic Basis
In this lecture you will learn:
Phonons in a 2D crystal with a monoatomic basis
Phonons in a 2D crystal with a diatomic basis
Handout 22
Electron Transport: The Boltzmann Equation
In this lecture you will learn:
Non-equilibrium distribution functions
The Liouville equation
The Boltzmann equation
Relaxation time approxima
Handout 32
Electronic Energy Transport and Thermoelectric Effects
In this lecture you will learn:
Thermal energy transport by electrons
Thermoelectric effects
Seebeck Effect
Peltier Effect
Thermoel
Handout 30
Optical Processes in Solids and the Dielectric Constant
In this lecture you will learn:
Linear response functions
Kramers-Kronig relations
Dielectric constant of solids
Interband and In
Handout 4
Lattices in 1D, 2D, and 3D
In this lecture you will learn:
Bravais lattices
Primitive lattice vectors
Unit cells and primitive cells
Lattices with basis and basis vectors
August Bravais
Handout 23
Electron Transport Equations
In this lecture you will learn:
Position dependent non-equilibrium
distribution functions
The Liouville equation
The Boltzmann equation
Relaxation time appr
Handout 6
Electrons in Periodic Potentials
In this lecture you will learn:
Blochs theorem and Bloch functions
Electron Bragg scattering and opening of bandgaps
Free electron bands and zone folding
Handout 10
The Tight Binding Method (Contd)
And
Crystal Symmetries and Energy Bands
In this lecture you will learn:
The tight binding method (contd)
The -bands in conjugated hydrocarbons
The relati
Handout 8
Linear Combination of Atomic Orbitals (LCAO)
In this lecture you will learn:
H
An approach to energy states in molecules
based on the linear combination of atomic
orbitals
C
H
H
H
ECE 407 S
Handout 2
Sommerfeld Model for Metals Free Fermion Gas
In this lecture you will learn:
Sommerfeld theory of metals
Arnold Sommerfeld (1868-1951)
ECE 407 Spring 2009 Farhan Rana Cornell University
Pro
Handout 26
2D Nanostructures: Semiconductor Quantum Wells
In this lecture you will learn:
Effective mass equation for heterojunctions
Electron reflection and transmission at interfaces
Semiconducto
Handout 19
Lattice Waves (Phonons) in 3D Crystals
Group IV and Group III-V Semiconductors
LO and TO Phonons in Polar Crystals
and
Macroscopic Models of Acoustic Phonons in Solids
In this lecture you w
Handout 13
Properties of Electrons in Energy Bands
In this lecture you will learn:
Properties of Bloch functions
Average momentum and velocity of electrons in energy bands
Energy band dispersion ne
Handout 3
Free Electron Gas in 2D and 1D
In this lecture you will learn:
Free electron gas in two dimensions and in one dimension
ECE 407 Spring 2009 Farhan Rana Cornell University
Electron Gases in
Handout 5
The Reciprocal Lattice
In this lecture you will learn:
Fourier transforms of lattices
The reciprocal lattice
Brillouin Zones
X-ray diffraction
Fourier transforms of lattice periodic fun
Handout 15
Dynamics of Electrons in Energy Bands
In this lecture you will learn:
The behavior of electrons in energy bands subjected to uniform
electric fields
The dynamical equation for the crystal
Handout 21
Phonon Statistics
In this lecture you will learn:
Phonon occupation statistics
Bose-Einstein distribution
Phonon density of states in 1D, 2D, and 3D
Phonon thermal energy and heat capac
Handout 24
The Effective Mass Theorem and the Effective Mass
Schrodinger Equation
In this lecture you will learn:
Electron states in crystals with weak potential perturbations
The effective mass the
Handout 25
Semiconductor Heterostructures
In this lecture you will learn:
Energy band diagrams in real space
Semiconductor heterostructures and heterojunctions
Electron affinity and work function
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 8
Due on April 03, 2011 at 5:00 PM
Suggested Readings a
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 2
Due on Feb. 07, 2012 at 5:00 PM
Suggested Readings:
a
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductors and Nanostructures
Spring 2012
Homework 3
`
Due on Feb. 14, 2012 at 5:00 PM
Suggested Readings
ECE407 Homework 6 Solutions (By Farhan Rana)
Problem 6.1 (1D lattice energy bands outside the FBZ)
a) Lesson: The lesson is that if one chooses a value of the wavevector outside the FBZ for numerical
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 6
`
Due on March 06, 2012 at 5:00 PM
Suggested Readings
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 7
`
Due on March 27, 2012 at 5:00 PM
Suggested Readings
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 4
`
Due on Feb. 21, 2012 at 5:00 PM
Suggested Readings:
ECE4070
Homework #3 Solutions (Farhan Rana)
3.1
g) See attached plot
3.2
Problem 3.1 plots
Bragg Planes and Higher BZs
4.2: (a) and (b)
3.3
f) See attached
3.4
Problem 3.3 (f)
3.4
d k
e v k B
a)
dt
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductors and Nanostructures
Spring 2012
Homework 10
Due on April 24, 2012 at 5:00 PM
Suggested Readings
Department of Electrical and Computer Engineering, Cornell University
ECE 4070: Physics of Semiconductor and Nanostructures
Spring 2012
Homework 1
Due on Jan. 31, 2012 at 5:00 PM
Suggested Readings:
a