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ABACUS - Assembly of Basic Applications for Coordinated Understanding of Semiconductors
16 Jul 2008 | | Contributor(s):: Xufeng Wang, Dragica Vasileska, Gerhard Klimeck
One-stop-shop for teaching semiconductor device education
ABACUS Exercise: Bandstructure – Kronig-Penney Model and Tight-Binding Exercise
20 Jul 2010 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
The objective of this exercise is to start with the simple Kronig-Penney model and understand formations of bands and gaps in the dispersion relation that describes the motion of carriers in 1D periodic potentials. The second exercise examines the behavior of the bands at the Brillouin zone...
Comparison of PCPBT Lab and Periodic Potential Lab
04 Aug 2009 | | Contributor(s):: Abhijeet Paul, Samarth Agarwal, Gerhard Klimeck, Junzhe Geng
This small presentation provides information about the comparison performed for quantum wells made of GaAs and InAs in two different tools. This has been done to benchmark the results from completely two different sets of tools and validate the obtained results. In this presentation we provide...
ECE 595E Lecture 10: Solving Quantum Wavefunctions
31 Jan 2013 | | Contributor(s):: Peter Bermel
Outline:Recap from MondaySchrodinger’s equationInfinite & Finite Quantum WellsKronig-Penney modelNumerical solutions:Real spaceFourier space
ME 597 Lecture 2: Electron States in Solids-Density of States
09 Sep 2009 | | Contributor(s):: Ron Reifenberger
Note: This lecture has been revised since its original presentation.Topics:Electron States in Solids – Bloch FunctionsKronig-Penney ModelDensity of States
Nanoelectronic Modeling Lecture 14: Open 1D Systems - Formation of Bandstructure
25 Jan 2010 | | Contributor(s):: Gerhard Klimeck, Dragica Vasileska
The infinite periodic structure Kroenig Penney model is often used to introduce students to the concept of bandstructure formation. It is analytically solvable for linear potentials and shows critical elements of bandstructure formation such as core bands and different effective masses in...
Periodic Potential Lab
19 Jan 2008 | | Contributor(s):: Abhijeet Paul, Junzhe Geng, Gerhard Klimeck
Solve the time independent schrodinger eqn. for arbitrary periodic potentials
Periodic Potential Lab Demonstration: Standard Kroenig-Penney Model
03 Jun 2009 | | Contributor(s):: Gerhard Klimeck, Benjamin P Haley
This video shows the simulation of a 1D square well using the Periodic Potential Lab. The calculated output includes plots of the allowed energybands, a table of the band edges and band gaps, plots of reduced and expanded dispersion relations, and plots comparing the dispersion relations to...
Periodic Potential Lab Worked Examples
09 Apr 2011 | | Contributor(s):: SungGeun Kim, Abhijeet Paul, Gerhard Klimeck, Lynn Zentner, Benjamin P Haley
Worked Examples for Periodic Potential Lab
Periodic Potential Lab: First-Time User Guide
05 Jun 2009 | | Contributor(s):: Abhijeet Paul, Benjamin P Haley, Gerhard Klimeck, SungGeun Kim, Lynn Zentner
This document provides guidance to first-time users of the Periodic Potential Lab tool. It offers basic information about solutions to the Schröedinger Equation in case of periodic potential in 1 dimension (1D). This document also contains suggested exercises to help users run the tool and...
Periodic Potentials and the Kronig-Penney Model
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01 Jul 2008 | | Contributor(s):: Dragica Vasileska
This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.
Periodic Potentials Exercise
15 Jun 2010 | | Contributor(s):: Gerhard Klimeck, Parijat Sengupta, Dragica Vasileska
In this exercise, various calculations of the electronic band structure of a one-dimensional crystal are performed with the Kronig-Penney (KP) model. This model has an analytical solution and therefore allows for simple calculations. More realistic models always require extensive numeric...
Slides: Kronig-Penney Model Explained
08 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck