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September 25, 2023

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Description

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)

Course Curriculum

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

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