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Semiclassical Transport Theory

Statistical Mechanics Review of Statistical Mechanics Quantum Theory of Electrons in Periodic Latices Lattice Dynamics


Bandstructure

Topic Page
Band Structure Lab Learning Materials

Lectures
Tutorial on Semi-empirical Band Structure Methods

Band Structure Calculation: General Considerations

Empirical Pseudopotential Method: Theory and Implementation

Empirical Pseudopotential Method Description

Description of the K.P Method for Band Structure Calculation

Tight-Binding Band Structure Calculation Method

Simplified Band-Structure Model

Exercises
Computational Electronics HW - Simplified Band Structure Model

Computational Electronics HW - Bandstructure Calculation


Scattering Mechanisms

Lectures
Boltzmann Transport Equation and Scattering Theory

Time-Dependent Perturbation Theory

Scattering Mechanisms

Acoustic Phonon Scattering Explained

Coulomb Scattering

Alloy Disorder Scattering

Electron-Electron Interactions

Low-dimensional structures

Scattering rates of confined carriers

2D Scattering Rates Calculation

Handwritten Notes
Time-Dependent Perturbation Theory and Variable Matrix Element

Deformation Potential Scattering

Non-polar optical phonon scattering

Polar optical phonon scattering

Piezoelectric Scattering

Intervalley scattering

Carrier-Carrier scattering

Introductory Comments for Confined Carriers

Confined Carriers - Acoustic Phonon Scattering

Confined Carriers - Interface Roughness Scattering

Confined Carriers - Coulomb Scattering

Exercises
ACUTE Exercise: Scattering Rates

Computational Electronics HW - Scattering Mechanisms

ACUTE Exercise: 2D Scattering Rates


Low-Field Transport

Lectures
Choice of the Distribution Function

Solution of the Boltzmann Equation under low-field conditions

Relaxation-Time Approximation

Explanation of Rode's Iterative Procedure

Rode's Method: Theory and Implementation

Handwritten Notes
Introduction to Boltzmann Transport Equation

Relaxation Time Approximation

Conductivity Calculation

Rode's Iterative Method

Orthogonal Polynomials and Conductivity

Transport in a weak magnetic field

Thermoelectric Effects


Drift-Diffusion Model

Lectures
Numerical Analysis

Drift-Diffusion Modeling and Numerical Implementation Details

Drift-Diffusion Model, Mobility Modeling

Drift-Diffusion Model, Part A: Introduction

Drift-Diffusion Model, Part B: Solution Details

Drift-Diffusion Model, Part C: Sharfetter-Gummel, Time-Dependent Simulations

Introduction to Silvaco Simulation Software

Introduction to DD Modeling with PADRE

1D Drift Diffusion Model for Crystalline Solar Cells

Optimize Solar Cells

SILVACO Simulation of Solar Cells

Padre

Tutorial for PADRE Based Simulation Tools

Computational Electronics HW - Drift-Diffusion Equations

Computational Electronics HW - Linearization of Poisson Equation

Computational Electronics HW - Finite Difference Discretization of Poisson Equation

Computational Electronics HW - Scharfetter-Gummel Discretization

Computational Electronics HW - Mobility Models

MOS Capacitors: Description and Semiclassical Simulation With PADRE

Handwritten Notes
Introduction to Boltzmann Transport Equation

Relaxation Time Approximation

Conductivity Calculation

Rode's Iterative Method

Orthogonal Polynomials and Conductivity

Transport in a weak magnetic field

Thermoelectric Effects


Monte Carlo Method for the Solution of the Boltzmann Transport Equation

Lectures
High Field Transport and the Monte Carlo Method for the Solution of the Boltzmann Transport Equation

Monte Carlo Method and Its Applications

Ensemble Monte Carlo Method Described

Bulk Monte Carlo Code Described

Bulk Monte Carlo: Implementation Details and Source Codes Download

Handwritten Notes
High Field Transport

Monte Carlo and Path Integral Formulation

Single Particle and Ensemble Monte Carlo Method

Many-Body and Degeneracy Effects

Limitations of the BTE

Tools
Bulk Monte Carlo Lab

Manual for the Generalized Bulk Monte Carlo Tool

Generalized Monte Carlo Presentation

Consistent Parameter Set for an Ensemble Monte Carlo Simulation of 4H-SiC

Exercise
Homework Assignment for Bulk Monte Carlo Lab: Temperature Dependence of the Low Field Mobility for [100] Orientation

Homework Assignment for Bulk Monte Carlo Lab: Arbitrary Crystallographic Direction

Homework Assignment for Bulk Monte Carlo Lab: Velocity vs. Field for Arbitrary Crystallographic Orientations

Bulk Monte Carlo Lab:Scattering Rates for Parabolic vs. Non-Parabolic Bands: an Exercise


Hydrodynamic Equations

Lectures
ACUTE: Hydrodynamic Modeling

Handwritten Notes
Hydrodynamic Equations


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