Hierarchical Device Simulation
The Monte-Carlo Perspective
Published on 5. June 2003
Book
Hardback
XVI, 261 pages
978-3-211-01361-8 (ISBN)
Description
This book summarizes the research of more than a decade. Its early motivation dates back to the eighties and to the memorable talks Dr. C. Moglestue (FHG Freiburg) gave on his Monte-Carlo solutions of the Boltzmann transport equation at the NASECODE conferences in Ireland. At that time numerical semiconductor device modeling basically implied the application of the drift-diffusion model. On the one hand, those talks clearly showed the potential of the Monte-Carlo model for an accurate description of many important transport issues that cannot adequately be addressed by the drift-diffusion approximation. On the other hand, they also clearly demonstrated that at that time only very few experts were able to extract useful results from a Monte-Carlo simulator. With this background, Monte-Carlo research activities were started in 1986 at the University of Aachen (RWTH Aachen), Germany. Different to many other Monte-Carlo research groups, the Monte-Carlo research in Aachen took place in an environment of active drift-diffusion and hydrodynamic model development.
More details
Series
Edition
2003 ed.
Language
English
Place of publication
Vienna
Austria
Publishing group
Springer Wien
Target group
Professional and scholarly
Research
Illustrations
XVI, 261 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 20 mm
Weight
594 gr
ISBN-13
978-3-211-01361-8 (9783211013618)
DOI
10.1007/978-3-7091-6086-2
Schweitzer Classification
Other editions
Additional editions
E-Book
12/2012
Springer
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09/2012
Springer
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Content
1 Introduction.- References.- 2 Semiclassical Transport Theory.- 2.1 The Boltzmann Transport Equation.- 2.2 Balance Equations.- 2.3 The Microscopic Relaxation Time.- 2.4 Fluctuations in the Steady-State 25 References.- 3 The Monte-Carlo Method.- 3.1 Basic Monte-Carlo Methods.- 3.2 The Monte-Carlo Solver of the Boltzmann Equation.- 3.3 Velocity Autocorrelation Function.- 3.4 Basic Statistics.- 3.5 Convergence Estimation.- References.- 4 Scattering Mechanisms.- 4.1 Phonon Scattering.- 4.2 Alloy Scattering.- 4.3 Impurity Scattering.- 4.4 Impact Ionization by Electrons.- 4.5 Surface Roughness Scattering.- References.- 5 Full-Band Structure.- 5.1 Basic Properties of the Band Structure of Relaxed Silicon.- 5.2 Basic Properties of the Band Structure of Strained SiGe.- 5.3 k-Space Grid.- 5.4 Calculation of the Density of States.- 5.5 Mass Tensor Evaluation.- 5.6 Particle Motion in Phase-Space.- 5.7 Selection of a Final State in k-Space.- References.- 6 Device Simulation.- 6.1 Device Discretization.- 6.2 Band Edges.- 6.3 Poisson Equation.- 6.4 Self-Consistent Device Simulation.- 6.5 Nonlinear Poisson Equation.- 6.6 Nonself-Consistent Device Simulation.- 6.7 Statistical Enhancement.- 6.8 Terminal Current Estimation.- 6.9 Contact Resistance.- 6.10 Normalization of Physical Quantities.- References.- 7 Momentum-Based Transport Models.- 7.1 The Hydrodynamic Model.- 7.2 Small-Signal Analysis.- 7.3 Noise Analysis.- 7.4 The Drift-Diffusion Model.- 7.5 Transport and Noise Parameter Simulation.- References.- 8 Stochastic Properties of Monte-Carlo Device Simulations.- 8.1 Stochastic Error.- 8.2 In-Advance CPU Time Estimation.- References.- 9 Results.- 9.1 N+NN+ and P+PP+ Structures.- 9.2 MOSFETs.- 9.3 SiGe HBTs.- References.