Dragica Vasileska Contributions on the nanoHUB Semiclassical Transport Theory
Theory of Electrons in Periodic Latices
Bandstructure
Topic Page
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
Handwritten Notes