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ECE 606 Lecture 4: Periodic Potentials Solutions of Schrödinger's Equation

14 Sep 2012 | Online Presentations | Contributor(s): Gerhard Klimeck

ECE 606 Lecture 2: Quantum Mechanics

Tight Binding Parameters by DFT mapping

12 Sep 2012 | Presentation Materials | Contributor(s): Yaohua Tan, Michael Povolotskyi, Tillmann Christoph Kubis, Yu He, Zhengping Jiang, Timothy Boykin, Gerhard Klimeck

ECE 606 Lecture 3: Emergence of Bandstructure

31 Aug 2012 | Online Presentations | Contributor(s): Gerhard Klimeck

Table of Contents: 00:00 ECE606: Solid State Devices Lecture 3 00:24 Motivation 01:17 Time-independent Schrodinger Equation 02:22 Time-independent Schrodinger Equation 04:23 A Simple Differential Equation 05:29 Presentation Outline 05:46 Full Problem Difficult: Toy Problems First 06:07 Case 1: Solution for Particles with E>>U 06:57 Free Particle … 07:57 Full Problem Difficult: Toy Problems First 08:02 Case 2: Bound State Problems 10:53 1-D Particle in a Box – A Solution Guess 11:57 1-D Particle in a Box – Visualization 13:01 1-D Particle in a Box – Normalization to ONE particle 15:02 1-D Particle in a Box – The Solution 16:06 1-D Particle in a Box – Quantum vs. Macroscopic 17:17 Presentation Outline 17:26 Full Problem Difficult: Toy Problems First 17:33 Five Steps for Closed System Analytical Solution 19:03 Case 2: Bound-levels in Finite Well (steps 1,2) 20:36 Case 2: Bound-levels in Finite Well (steps3) 23:39 Case 2: Bound-levels in Finite Well (step 4) 25:08 Case 2: Bound-levels in Finite Well (steps 4 graphical) 26:18 Case 2: Bound-levels in Finite Well (steps 4 graphical) 26:49 Case 2: Bound-levels in Finite Well (steps 5 wavefunction) 27:12 Step 5: Wave-functions 27:42 Key Summary of a Finite Quantum Well 29:16 Presentation Outline 29:24 Transmission through a single barrier Scattering Matrix approach 30:17 Tunneling through a single barrier 30:48 Single barrier case 32:38 Generalization to Transfer Matrix Method 33:31 Single barrier case 36:38 Single barrier : Concepts 39:25 Effect of barrier thickness below the barrier 40:29 Single Barrier – Key Summary 41:00 Presentation Outline 41:05 Double Barrier Transmission: Scattering Matrix approach 41:17 Reminder: Single barrier 41:52 Double barrier: Concepts 42:37 Double barrier: Quasi-bound states 43:23 Effect of barrier height 44:59 Effect of barrier thickness 45:00 Double barrier energy levels Vs Closed system 45:31 Particle in a box 45:44 Double barrier & particle in a box 46:33 Open systems Vs closed systems 47:36 Reason for deviation? 48:30 Double Barrier Structures - Key Summary 49:07 Presentation Outline 49:14 1 Well => 1 Transmission Peak 49:37 2 Wells => 2 Transmission Peaks 50:09 3 Wells => 3 Transmission Peaks 50:19 4 Wells => 4 Transmission Peaks 50:20 5 Wells => 5 Transmission Peaks 50:21 6 Wells => 6 Transmission Peaks 50:24 7 Wells => 7 Transmission Peaks 50:25 8 Wells => 8 Transmission Peaks 50:39 9 Wells => 9 Transmission Peaks 50:40 19 Wells => 19 Transmission Peaks 50:42 29 Wells => 29 Transmission Peaks 50:44 39 Wells => 39 Transmission Peaks 50:45 49 Wells => 49 Transmission Peaks 51:20 N Wells => N Transmission Peaks 52:30 1 Well => 1 Transmission Peak => 1 State 52:37 2 Wells => 2 Transmission Peaks => 2 States 52:39 3 Wells => 3 Transmission Peaks => 3 States 52:39 4 Wells => 4 Transmission Peaks => 4 States 52:40 5 Wells => 5 Transmission Peaks => 5 States 52:40 6 Wells => 6 Transmission Peaks => 6 States 53:05 7 Wells => 7 Transmission Peaks => 7 States 53:05 8 Wells => 8 Transmission Peaks => 8 States 53:06 9 Wells => 9 Transmission Peaks => 9 States 53:06 19 Wells => 19 Transmission Peaks => 19 States 53:09 29 Wells => 29 Transmission Peaks => 29 States 53:09 39 Wells => 39 Transmission Peaks => 39 States 53:11 49 Wells => 49 Transmission Peaks => 49 States 54:05 N Wells => N Transmission Peaks => N States 54:53 N Wells => N States => 1 Band 55:07 N Wells => 2N States => 2 Bands 55:48 N Wells => 2N States => 2 Bands 55:59 X States/Well => X Bands 57:10 X States/Well => X Bands 57:37 Formation of energy bands 57:59 Presentation Outline 58:41 Five Steps for Closed System Analytical Solution 59:10 Open System: Generalization to Transfer Matrix Method 59:36 Presentation Outline 59:39 Numerical solution of Schrodinger Equation 60:09 (1) Define a grid … 60:33 Second Derivative on a Finite Mesh 62:06 (2) Express equation in Finite Difference Form 62:56 (3) Define the matrix … 63:44 (4) Solve the Eigen-value Problem

ECE 606 Lecture 1: Introduction/Crystal Classification

30 Aug 2012 | Online Presentations | Contributor(s): Gerhard Klimeck

NEMO5 Tutorials (2012 Summer School)

19 Jul 2012 | Courses | Contributor(s): James Fonseca, Tillmann Christoph Kubis, Michael Povolotskyi, Jean Michel D Sellier, Parijat Sengupta, Junzhe Geng, Mehdi Salmani Jelodar, Seung Hyun Park, Gerhard Klimeck

NEMO5 Tutorial 6A: Device Simulation - Transport (Double Gate)

18 Jul 2012 | Online Presentations | Contributor(s): Mehdi Salmani Jelodar, Seung Hyun Park, Zhengping Jiang, Tillmann Christoph Kubis, Michael Povolotskyi, Gerhard Klimeck

NEMO5 Overview Presentation

17 Jul 2012 | Online Presentations | Contributor(s): Tillmann Christoph Kubis, Michael Povolotskyi, Jean Michel D Sellier, James Fonseca, Gerhard Klimeck

TEDxPurdueU - Gerhard Klimeck - Connect Innovation

15 Jun 2012 | Online Presentations | Contributor(s): Gerhard Klimeck

NEMO 5 Latest Version Executable

13 Feb 2012 | Downloads | Contributor(s): Gerhard Klimeck

NEMO3D User Guide for Quantum Dot Simulations

29 Nov 2011 | Papers | Contributor(s): M. Usman, Gerhard Klimeck

Exploring the Impact of nanoHUB.org on Research and Education Users

15 Sep 2011 | Online Presentations | Contributor(s): Gerhard Klimeck, George B. Adams III, Krishna P. C. Madhavan, Nathan Travis Denny, Michael Zentner, Swaroop S, Lynn Zentner, Diane Beaudoin, Mehdi Salmani Jelodar

Success Criteria for Establishing a Thriving HUBzero Based Site: A Model for Science 2.0

15 Sep 2011 | Online Presentations | Contributor(s): Lynn Zentner, Gerhard Klimeck, Krishna P. C. Madhavan, George B. Adams III

MATLAB Tutorial

15 Aug 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Quantum Computing - Introduction

Quantum Computing - Experiments

Green's Functions Method Explained

10 Aug 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Introduction to process modeling

04 Aug 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Smith Chart Examples

S-parameters

Test for Monte Carlo Learning Module

30 Jul 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Tunneling

ACUTE - Process Simulation Assignment

28 Jul 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Schred: Solve a Challenge

21 Jul 2011 | Teaching Materials | Contributor(s): Dragica Vasileska, Gerhard Klimeck

Atomistic Modeling and Simulation Tools for Nanoelectronics and their Deployment on nanoHUB.org - Part 1

21 Jul 2011 | Online Presentations | Contributor(s): Gerhard Klimeck