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Can we define unique effective masses in Si nanowires?

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06 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

This exercise teaches the users that for small nanostructures the concept of the effective mass becomes vague and in order to properly describe nanostructures one has to take into account the numerically calculated dispersion relation. This is clearly illustrated on the example of Si nanowires...

Harmonic Oscillator Problem

05 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska

These materials describe the solution of the 1D Schrodinger equation for harmonic potential using the brute-force and the operator approach.visit www.eas.asu.edu/~vasileskNSF

Bound States Calculation Description

These lectures describe the calculation of the bound states in an infinite potential well, finite potential well and triangular well approximation. At the end, shooting method, that is used to numerically solve the 1D Schrodinger equation, is briefly described.visit www.eas.asu.edu/~vasileskNSF

Energy Bands as a Function of the Geometry of the n-Well Potential: an Exercise

05 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Explores the position and the width of the bands as a function of the 10-barrier potential parameters.NSF

Exercise: CV curves for MOS capacitors

02 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

This exercise demonstrates to the students how the low-frequency CV curves in MOS capacitors change with changing the gate workfunction, the oxide thickness and the dielectric constant. It also demonstrates the doping variation of the high-frequency CV curves.NSFNSF

From 1 well to 2 wells to 5 wells to periodic potentials: an Exercise

This exercise demonstrates that the interaction between the wells lifts the degeneracy of the quasi-bound states and if in the limit we have infinite periodic potential it leads to formation of energy bands. Notice that when the interaction is less strong the energy levels are more sharp and the...

Periodic Potentials and Bandstructure: an Exercise

This exercise teaches the students that in the case of strong coupling between the neighboring wells in square and Coulomb periodic potential wells electrons start to behave as free electrons and the gaps that open at the Brillouin zone boundaries become smaller and smaller (thus recovering the...

Quantum-Mechanical Reflections in Nanodevices: an Exercise

This exercise points out to the fact that quantum-mechanical reflections are going to be significant in nanoscale devices and proper modeling of these device structures must take into consideration the quantum-mechanical reflections.NSF, ONRDragica Vasileska personal web-site...

Periodic Potentials and the Kronig-Penney Model

01 Jul 2008 | Teaching Materials | Contributor(s): Dragica Vasileska

This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.

Bulk Monte Carlo Code Described

In this tutorial we give implementation details for the bulk Monte Carlo code for calculating the electron drift velocity, velocity-field characteristics and average carrier energy in bulk GaAs materials. Identical concepts with minor details apply to the development of a bulk Monte Carlo code...

Double-Barrier Case: An Exercise

30 Jun 2008 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Quantum-Mechanical Reflections: an Exercise

Double Barrier Case

30 Jun 2008 | Teaching Materials | Contributor(s): Dragica Vasileska

This material contains derivation for the transmission coefficient and current calculation in double-barrier structures that are also known as resonant tunneling diodes.

Open Systems

This tutorial contains introductory material for Quantum Mechanics for Engineers with emphasis on tunneling, open systems and the definitions of transmission and reflection coefficients and their calculation in the case of piece-wise constant potential energy profiles.NSF