Introduction to
Prof. Stefano Curtarolo
Room
Email: stefano@duke.edu
Who can take: undergrads and grads
Who should take: students of materials science & students interested in nanotech.
Exams: 3. Open-books, open-notes, open-homeworks OR take-home.
Homeworks: One every week. Several problems.
When:
Where: nobody knows
Grading: problem sets 25%, exams 25% each.
Homepage: TBA
Conductivity and Bands
*
Origin
of Ohm’s Law and Drude Model
*
Hall
effect
*
AC
response of electrons
*
Free
electrons, plasma frequency, electromagnetic waves inside materials
*
Electrons
as waves and diffraction, wave-particle duality
*
Bravais lattice, reciprocal lattice: structure factor
*
Electron
waves in solids
*
Quantized
electron energy: Boltzmann and Fermi-Dirac distributions
*
Density
of states for electrons. Fermi Energy
*
Heat
capacity
Quantum Mechanics stuff
*
Nearly
free electrons in solids
*
Schrödinger
Equation (introduction and justification)
*
Periodic
systems: Block theorem. Symmetry and properties of solutions
*
Solution
of SE in momentum space (Fourier)
*
Band
gap, excitations
Atoms,
molecules, and materials.
*
Hydrogen
atom
*
Chemistry
approach: tight-binding model
*
Bonding
and building material atom by atom: Debye-Huckel
model
*
Electronic
structure and polymer chains
*
Hybridization
*
Metals
and insulators
*
Band
and Zones, carriers, effective masses
Semiconductors
*
Intrinsic/extrinsic
semiconductors
*
Electrical
activity of defects
*
Hydrogenic
model of extrinsic semiconductors
*
Carrier,
scattering, recombination and generation: defects, traps
*
Drift
diffusion and the continuity equations
*
Diode:
depletion region, built-in voltage and operation
*
Electron
in potentials: step, well, infinite well: quantum solutions
*
Transistor
and FET
Dielectric
and optical properties of materials.
*
Application
of Maxwell’s equations to capacitance
*
Dielectric
constant and polarizability
*
Dielectric
response at optical frequencies
*
Local
fields and Clausius-Mossotti relation
*
Orientational,
electronical, and ionical polarizability
*
Pyroelectrics
and ferroelectrics
*
Defect
and dielectric loss, dispersion attenuation in optical fibers
*
Maxwell’s
equations in periodic systems: Photonic Band Gaps. Optical filters
Magnetic properties of
Materials
*
Application
of Maxwell’s equations to inductance
*
Magnetization:
paramagnetism, diamagnetism, ferromagnetism
*
Microscopic
origin of magnetization
*
QM
equations for magnetization and Hund’s rule
*
Pauli
paramagnetism
*
Exchange
and ferromagnetism
*
Mean-field
theory, Ising model
Modern tools for quantum
calculations in solids
*
Introduction
to ab-initio: many body problems
*
Hartree-Fock
approach
*
Density
Functional Theory: approximations, plane-waves, pseudo-potentials and k-points
References:
*
TBA
