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 Intraband contributions to the dielectric constant of solids
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 6 ` Due on March 10, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes
Problem 6.1 (Energy bands in G
ECE407 Homework 4 Solutions (By Farhan Rana) Problem 5.1 (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 solution then one does not obtain any new energy
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 5 ` Due on Feb. 24, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes
Problem 5.1 (1D lattice energy
ECE407 Homework 4 Solutions (By Farhan Rana) Problem 4.1 (1D lattice)
a) See plot below.
a) V1=0.2 eV and V2 = 0.0 eV
b) The size of the bandgap that opens at ka= is approximately 0.4 eV which equals 2V1 as predicted by the nearly free electron mode
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 4 ` Due on Feb. 17, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes
Problem 4.1 (1D lattice)
Consid
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 3 ` Due on Feb. 10, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes b) Chapter 2 in Kittel (Introduc
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 7 ` Due on March 24, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes b) Start homework early.
Probl
ECE 407: Homework 7 Solutions (By Farhan Rana) Problem 7.1
a) The answer follows from elementary vector calculus result that that the gradient of any function is perpendicular to the surface of constant value of the function. In the present case, the
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 absorption coefficients Stimulated absorption and stimulated
Handout 28 Ballistic Quantum Transport in Semiconductor Nanostructures
In this lecture you will learn: Electron transport without scattering (ballistic transport) The quantum of conductance and the quantum of resistance Quantized conductance
Rolf Landauer
Handout 23 Electron Transport Equations and the Thermoelectric Effect
In this lecture you will learn:
Position dependent non-equilibrium distribution functions The Liouville equation The Boltzmann equation Relaxation time approximation Transport equation
Handout 18 Lattice Waves (Phonons) in 2D Crystals: Monoatomic Basis and Diatomic Basis
In this lecture you will learn:
Lattice waves (phonons) in a 2D crystal with a monoatomic basis Lattice waves (phonons) in a 2D crystal with a diatomic basis Dispersio
ECE407 Exam 1 Solutions (By Farhan Rana) Problem 1 (2D lattice) 30 points
y
a
x
r a1 r a2
a
A B C
a 2
a
a
a) Note that the B atoms (or the C atoms) form a centered rectangular Bravais lattice. The primitive r r a a a 2 = ax y vectors ar
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Exam 1 ` Feb. 26, 2009
INSTRUCTIONS:
Every problem must be done in the blue booklet Only work done on the blue e
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 9 Due on April 7, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes
Problem 9.1: (Phonons bands in gr
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 8 Due on March 31, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes
Problem 8.1: (Motion in magnetic
Department of Electrical and Computer Engineering, Cornell University ECE 407: Physics of Semiconductor and Nanostructures Spring 2009 Homework 2 Due on Feb. 03, 2009 at 5:00 PM
Suggested Readings:
a) Lecture notes b) Chapter 1 and Chapter 2 in Kitt
Handout 10 The Tight Binding Method (Contd)
In this lecture you will learn:
The tight binding method (contd) The -bands in conjugated hydrocarbons
Energy
Es
4Vss
a
a
k
ECE 407 Spring 2009 Farhan Rana Cornell University
Tight Binding
Handout 9 Application of LCAO to Energy Bands in Solids and the Tight Binding Method
In this lecture you will learn:
An approach to energy bands in solids using LCAO and the tight binding method
Energy
Es
4Vss
a
a
k
ECE 407 Spring 2009
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
H H
C H
ECE 407 Spring 2009 Farhan Rana Cornell University
Handout 7 Properties of Bloch Functions and Electron Statistics in Energy Bands
In this lecture you will learn:
Energy
Properties of Bloch functions Periodic boundary conditions for Bloch functions Density of states in k-space Electron occupatio
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 Energy bands in 1D, 2D, and 3D lattices
ECE 40
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 functions
ECE 407 Spring 2009 Farhan Rana Corne
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 (1811-1863)
ECE 407 Spring 2009 Farhan Rana
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 2D
In several physical systems electron ar