Title of the book: Computational Electronics Semiclassical and Quantum Device Modeling and Simulation

Writers of the book: Dragica Vasileska, Stephen M. Goodnick and Gerhard Klimeck

File Format: PDF

Language: English

Volume: 784 pages

File Size: 9.77 MB

About the Book:

The purpose of this book is to introduce interested scientists from academia and industry to advanced simulation methods needed for modeling state-of-the-art nanoscale devices.
The book also serves as a textbook for two graduate-level modeling classes: one devoted to semiclassical transport modeling and the second dedicated completely to quantum transport modeling.
This book provides an overview of the basic techniques used in the field of computational electronics related to device simulation.

Content of the Book:

Introduction to Computational Electronics

Si-Based Nanoelectronics
Heterostructure Devices in III–V or II–VI Technology
Modeling of Nanoscale Devices
The Content of This Book

Introductory Concepts

Crystal Structure
Semiconductors
Band Structure
Preparation of Semiconductor Materials
Effective Mass
Density of States
Electron Mobility
Semiconductor Statistics
Semiconductor Devices

Semiclassical Transport Theory

Approximations for the Distribution Function
Boltzmann Transport Equation
Relaxation-Time Approximation
Rode’s Iterative Method
Scattering Mechanisms: Brief Description
Implementation of the Rode Method for 6H-SiC Mobility Calculation

The Drift-Diffusion Equations and Their Numerical Solution

Drift-Diffusion Model Derivation
Drift-Diffusion Application Examples

Hydrodynamic Modeling

Extensions of the Drift-Diffusion Model
Stratton’s Approach
Hydrodynamic (Balance, Bløtekjær) Equations Model
The Need for Commercial Semiconductor Device Modeling Tools
State-of-the-Art Commercial Packages
The Advantages and Disadvantages of Hydrodynamic Models

Particle-Based Device Simulation Methods

Direct Solution of Boltzmann Transport Equation:
Monte Carlo Method
Multi-Carrier Effects
Device Simulations
Coulomb Force Treatment within a Particle-Based
Representative Simulation Results of Multiparticle

Modeling Thermal Effects in Nano-Devices

Some General Aspects of Heat Conduction
Classical Heat Conduction in Solids
Form of the Heat Source Term
Modeling Heating Effects with Commercial Simulation Packages
The ASU Particle-Based Approach to Lattice Heating
in Nanoscale Devices
Open Problems

Quantum Corrections to Semiclassical Approaches

One-Dimensional Quantum-Mechanical Space Quantization.
Quantum Corrections to Drift-Diffusion and Hydrodynamic Simulators
The Effective Potential Approach in Conjunction
with Particle-Based Simulations
Description of Gate Current Models Used in Device Simulations
Monte Carlo—k.p—1D Schrödinger Solver for Modeling Transport

Quantum Transport in Semiconductor Systems

Tunneling
General Notation
Transfer Matrix Approach
Landauer Formula and Usuki Method

Far-From-Equilibrium Quantum Transport

Mixed States and Distribution Function
Irreversible Processes and MASTER Equations
The Wigner Distribution Function
Green’s Functions
Nonequilibrium Keldysh Green’s Functions
Low Field Transport in Strained-Si Inversion Layers
NEGF in a Quasi-1D Formulation
Quantum Transport in 1D—Resonant Tunneling Diodes
Coherent High-Field Transport in 2D and 3D

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