**Introduction to **

**Solid**** ****State**** Engineering ME265.03**

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