ECE597-NE Nanoelectronics (Spring 2014)

Professor Eric Polizzi

    Class Hours: Tue-Thu 11:15am-12:30pm Marston Hall 15

    Office Hours: Wed 10:00am-11:30am in Marcus 201C
Short Introduction



C O M P L E M E N T   and   N O T E S

(344 I.1)--Review Light/Electrons/Bohr-atom/Schrodinger/Quantum-effects
(Seminar 2/11/13)-- Nanoelectronics: Fabrication and Devices- Prof. S. Yngvesson
[HW]Homework due March 13
(Seminar 2/27/13)-- Phonons, Phonons Everywhere: Thermal Transport in Nanoscale Semiconductor Devices
(Draft-notes)--Introduction to quasi-particles in Nanoelectronics
(Draft-notes)-- III-1 Electron in Low-Dimensional systems
(Draft-notes)-- III-2 Open Systems


Part I- Nanophysics

I- Review of Quantum Mechanics
1- Introduction
Classical vs quantum.
2- Light
Wave or particle?; Blackbody radiation; Photoelectric effect; Young experiments.
3- Electron
De-Broglie hypothesis; Uncertainty principle; Meaning of the wave function Ψ
4- The Bohr atom
Quantized orbits for H atom; Energy Spectrum; Limitations.
5- The Schrodinger equation
A wave and eigenvalue equation for Ψ; H atom revisited.
5- Multiple particle systems
From many body to single electron picture.
II- Solving the Schrodinger equation
1- Free electron model
Electron moving in 3D free space; Free electron model.
2- Confined electron
Electron confined in 3D space; particle in a box model.
3- Quantum wells, wires and dots
Wavefunctions and energy spectrum for 2d, 1d and 0d systems;
III- Atomic structures
1- Quantum numbers for H atom
Atomic orbitals; Spin quantum number.
2- Multi-electrons atom
Pauli exclusion principle; Electronic configuration; Valence electrons.
3- Beyond the single atom
Coupling and hybridized orbitals; Molecular orbitals.
Part II- Nanostructures

I- Theory of Solid
1- Introduction
Classification; Crystal structure.
2- Band theory of solid
Intuitive approach; Analytical approach (Kronig-Penney model).
3- Semiconductors
Valence and conduction bands; Metal, insulators, semiconductors; Doping.
II- Electronic Structure Calculations
1- Modeling procedure
Physical, mathematical and numerical models; Notion of pseudopotential.
2- Nature of the problem
Isolated system; Periodic system and bandstructure calculations; Effective mass.
III- Materials for Nanoelectronics
1- Semiconductor heterostructures
Band discontinuity; Applications: 2DEG, III-V heterostructures and electron waveguide devices.
2- Carbon-based materials
Sp^n hybridization; Graphene; Carbon nanotube (CNT); Buckyball fullrenes.
Complement: Quasiparticles in Nanoelectronics
Part III- Nanodevices

I- Electrons in low-dimensional systems

1- Carrier densities in semiconductors
2- Distribution function
3- Density of states
4- Carrier densities in nanoelectronics
dots, wells, and wires.
II- Open systems
1- Basics
case study, formal approach
2- Quantum devices
Active region; ballistic regime; Reservoirs and contacts: equilibrium and quasi-equilibrium.
3- Non-equilibrium transport
Electron and current density; Landauer formalism.
4- Multi-dimensional systems
5- Quantum transport: Summary
6- Conductance
7- Complements