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

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

Syllabus

Short Introduction

Schedule |

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

C O N T E N T S |

Part I- Nanophysics
I- Review of Quantum Mechanics 1- IntroductionClassical vs quantum. 2- LightWave or particle?; Blackbody radiation; Photoelectric effect; Young experiments. 3- ElectronDe-Broglie hypothesis; Uncertainty principle; Meaning of the wave function Ψ 4- The Bohr atomQuantized orbits for H atom; Energy Spectrum; Limitations. 5- The Schrodinger equationA wave and eigenvalue equation for Ψ; H atom revisited. 5- Multiple particle systemsFrom many body to single electron picture. II- Solving the Schrodinger equation 1- Free electron modelElectron moving in 3D free space; Free electron model. 2- Confined electronElectron confined in 3D space; particle in a box model. 3- Quantum wells, wires and dotsWavefunctions and energy spectrum for 2d, 1d and 0d systems; III- Atomic structures 1- Quantum numbers for H atomAtomic orbitals; Spin quantum number. 2- Multi-electrons atomPauli exclusion principle; Electronic configuration; Valence electrons. 3- Beyond the single atomCoupling and hybridized orbitals; Molecular orbitals. |
Part II- Nanostructures
I- Theory of Solid 1- IntroductionClassification; Crystal structure. 2- Band theory of solidIntuitive approach; Analytical approach (Kronig-Penney model). 3- SemiconductorsValence and conduction bands; Metal, insulators, semiconductors; Doping. II- Electronic Structure Calculations 1- Modeling procedurePhysical, mathematical and numerical models; Notion of pseudopotential. 2- Nature of the problemIsolated system; Periodic system and bandstructure calculations; Effective mass. III- Materials for Nanoelectronics 1- Semiconductor heterostructuresBand 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 devicesActive region; ballistic regime; Reservoirs and contacts: equilibrium and quasi-equilibrium. 3- Non-equilibrium transportElectron and current density; Landauer formalism. 4- Multi-dimensional systems5- Quantum transport: Summary6- Conductance7- Complements |