# InfoCoBuild

## Semiconductor Device Modeling

Semiconductor Device Modeling. Instructor: Prof. Shreepad Karmalkar, Department of Electrical Engineering, IIT Madras. This course assumes that you have studied solid state devices covering topics: concentration and transport of carriers in semiconductors, analysis of diodes, BJTs and MOSFETs leading to simple current-voltage equations for these devices. This course shall discuss qualitative model of semi-classical bulk transport; the electromagnetic field and transport equations of this semi-classical bulk transport; drift-diffusion transport model, equations, boundary conditions, mobility and generation/recombination; the characteristic times and lengths, which are used in device modeling; the energy band diagrams, which is a very important tool both for representing conditions in a device and for analyzing conditions in a device; the 9 steps of deriving a device model; modeling of the MOSFET; structure and characteristics and qualitative understanding of the operation of a MOSFET. (from nptel.ac.in)

 Motivation, Contents and Learning Outcomes

 Lecture 01 - Motivation, Contents and Learning Outcomes Lecture 02 - Introduction Semi-classical Bulk Transport: Qualitative Model Lecture 03 - Phenomena of Carrier Transport, Qualitative Modelling, Particle Approximation Lecture 04 - Bulk of a Large Semiconductor under Equilibrium Lecture 05 - Charge Transport in the Bulk of a Large Semiconductor, Effective Mass Approximation Lecture 06 - Balances of Carrier Density, Momentum and Energy Densities of Carriers Lecture 07 - Velocity Overshoot in response to a Temporal Step in Electric Field Semi-classical Bulk Transport: EM field and Transport Equations Lecture 08 - Electromagnetic Field Equations, The Form of Transport Equations Lecture 09 - Micro to Macro Level Descriptions of Carrier Transport Lecture 10 - Equations for Semi-classical Carrier Transport Lecture 11 - Fundamental Ensemble Viewpoint of Getting the Device Current Lecture 12 - Solving the Boltzmann Transport Equation: Displaced-Maxwell Approximation Lecture 13 - Solving the Boltzmann Transport Equation: Balance Equations Lecture 14 - Balance Equations: Velocity Saturation, Velocity Overshoot, Current Density Lecture 15 - Drift-Diffusion Current Density Model, General Form of Transport Equations Drift-Diffusion Transport Model: Equations, Boundary Conditions, Mobility and Generation/ Recombination Lecture 16 - Drift-Diffusion Transport Model: Equations and Boundary Conditions Lecture 17 - Drift-Diffusion Transport Model: Mobility in Bulk and Inversion Layers Lecture 18 - Mobility in Inversion Layer (cont.), Complete Field Dependent Mobility Model Lecture 19 - Drift-Diffusion Transport Model: Generation and Recombination Mechanisms Lecture 20 - Summary of Drift-Diffusion Transport Model Characteristic Times and Lengths Lecture 21 - Minority Carrier Lifetime, Dielectric Relaxation Time Lecture 22 - Dielectric Relaxation Time (cont.), Momentum and Energy Relaxation Times Lecture 23 - Transit Time, Diffusion Length Lecture 24 - Debye Length, Magnitudes of Characteristic Times and Lengths Lecture 25 - Utility of Characteristic Times and Lengths Lecture 26 - Utility of Characteristic Times and Lengths (cont.) Energy Band Diagrams Lecture 27 - Introduction, Energy Band Formation: Qualitative Model, E-k Diagram Lecture 28 - E-k Diagram: E?k Relation for Electrons in a Periodic Potential Lecture 29 - Utility of the E-k Relation, Energy Distance Diagrams Lecture 30 - Energy Distance Diagrams (E-x Diagrams) Lecture 31 - E-x Diagram for Semiconductors and Devices Lecture 32 - E-x diagrams of a Hetero-junction under Equilibrium and a p-n Junction under High Forward Bias, 2D Band Diagrams Lecture 33 - Correspondence between E-k and E-x Diagrams, Summary SQEBASTIP: Nine Steps of Deriving a Device Model Lecture 34 - Structure and Characteristics of the Device to Scale, Qualitative Model Lecture 35 - Equations, Boundary Conditions, Approximations, Closed Form Solution Lecture 36 - Testing, Improvement and Parameter Extraction, Summary Types of Device Models Lecture 37 - Types of Device Models, Part 1 Lecture 38 - Types of Device Models, Part 2 MOSFET: Device Structures and Characteristics Lecture 39 - MOSFET: Device Structures and Characteristics, Part 1 Lecture 40 - MOSFET: Device Structures and Characteristics, Part 2 DC Model of a Large Uniformly Doped Bulk MOSFET: Qualitative Theory Lecture 41 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 1 Lecture 42 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 2 Lecture 43 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 3 Lecture 44 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 4 Lecture 45 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 5 Lecture 46 - DC Characteristics of a Large Uniformly Doped Bulk MOSFET 6

 References Semiconductor Device Modeling Instructor: Prof. Shreepad Karmalkar, Department of Electrical Engineering, IIT Madras. This course shall discuss qualitative model of semi-classical bulk transport; the electromagnetic field and transport equations of this semi-classical bulk transport, ...