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ABACUS Tool Suite and Bandstructure and Band Models (Fall 2023)
22 Aug 2023 | | Contributor(s):: Gerhard Klimeck
In the third session, Dr. Klimeck will give a brief overview of ABACUS and demonstrate several bandstructure tools. With these, students can explore the Standard Periodic Potential aka Kronig-Penney model as well as bandstructure formation by transmission through finite barriers....
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ECE 606 L7.1: Bandstructure - Problem Formulation
20 Jul 2023 | | Contributor(s):: Gerhard Klimeck
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ABACUS Bandstructure Models (Spring 2022)
05 May 2022 | | Contributor(s):: Gerhard Klimeck
In the third session, Dr. Klimeck will give a brief overview of ABACUS and demonstrate several bandstructure tools. With these, students can explore the Standard Periodic Potential aka Kronig-Penney model as well as bandstructure formation by transmission through finite barriers....
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ABACUS Bandstructure Models (Winter 2021)
21 Dec 2021 | | Contributor(s):: Gerhard Klimeck
In the third session, Dr. Klimeck will give a brief overview of ABACUS and demonstrate several bandstructure tools. With these, students can explore the Standard Periodic Potential aka Kronig-Penney model as well as bandstructure formation by transmission through finite barriers...
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Periodic Potential Lab - Kronig Penney Model - New Interactive Version
23 Aug 2019 | | Contributor(s):: Daniel Mejia, Gerhard Klimeck
Periodic Potential Lab - Kronig Penney Model - Interactively explore bandstructure and wavefunctions with different potentials
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Periodic Potential Lab Worked Examples
11 Apr 2011 | | Contributor(s):: SungGeun Kim, Abhijeet Paul, Gerhard Klimeck, Lynn Zentner, Benjamin P Haley
Worked Examples for Periodic Potential Lab
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ABACUS: Test for Periodic Potential Lab
05 Aug 2010 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
The objective of this test is to give an idea to a self-learning students or to instructors in the case this test is used in a classroom the level of understanding of this topic when students have gone through the learning material, worked exercises and have completed the assignments and the...
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Periodic Potentials Exercise
16 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...
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Comparison of PCPBT Lab and Periodic Potential Lab
10 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...
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Periodic Potential Lab Demonstration: Standard Kroenig-Penney Model
11 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 those...
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Periodic Potential Lab: First-Time User Guide
07 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...
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Cosine Bands: an Exercise for PCPBT
21 Aug 2008 | | Contributor(s):: Gerhard Klimeck, Dragica Vasileska
This exercise demonstrates the formation of cosine bands as we increase the number of wells in the n-well structure.
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Quantum Mechanics: Periodic Potentials and Kronig-Penney Model
09 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
The Kronig-Penney model is a simple approximation of a solid. The potential consists of a periodic arrangement of delta functions, square well or Coulomb well potentials. By means of epitaxial growth techniques artificial semiconductor superlattices can be realized, which behave very similar to...
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Slides: Kronig-Penney Model Explained
08 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
www.eas.asu.edu/~vasileskNSF
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Periodic Potentials and the Kronig-Penney Model
01 Jul 2008 | | Contributor(s):: Dragica Vasileska
This material describes the derivation of the Kronig-Penney model for delta-function periodic potentials.
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Periodic Potentials and Bandstructure: an Exercise
02 Jul 2008 | | Contributor(s):: Dragica Vasileska, Gerhard Klimeck
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...
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Computational Nanoscience, Lecture 4: Geometry Optimization and Seeing What You're Doing
13 Feb 2008 | | Contributor(s):: Jeffrey C Grossman, Elif Ertekin
In this lecture, we discuss various methods for finding the ground state structure of a given system by minimizing its energy. Derivative and non-derivative methods are discussed, as well as the importance of the starting guess and how to find or generate good initial structures. We also briefly...
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Homework Assignment: Periodic Potentials
31 Jan 2008 | | Contributor(s):: David K. Ferry
Using the Periodic Potential Lab on nanoHUB determine the allowed bands for an energy barrier of 5 eV, a periodicity W = 0.5nm, and a barrier thickness of 0.1nm. How do these bands change if the barrier thickness is changed to 0.2 nm?
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Semiconductor Device Education Material
28 Jan 2008 | | Contributor(s):: Gerhard Klimeck
This page has moved to "a Wiki page format" When we hear the words, semiconductor device, we may think first of the transistors in PCs or video game consoles, but transistors are the basic component in all of the electronic devices we use in our daily lives. Electronic systems are...
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Periodic Potential Lab
19 Jan 2008 | | Contributor(s):: Abhijeet Paul, Junzhe Geng, Gerhard Klimeck
Solve the time independent schrodinger eqn. for arbitrary periodic potentials