Course layout
Week 1: Introduction -: Si-Based
Nanoelectronics and Device Scaling, Nanoscale and Heterostructure Devices,
Crystal structure-Unit cell and Miller Indices
Week 2: Reciprocal Space,
Doping, Band Structure, Effective Mass
Week 3: Density of states, Electron
Mobility, Semiconductor Statistics- Fermi-Dirac function and carrier
concentration calculation
Week 4: p-n junction under
equilibrium, derivation of I-V relation, Minority carrier diffusion equation, Non-idealities
in the p-n junction diode (Breakdown and Generation-Recombination currents),
Transistor configurations
Week 5:BJT- I-V relation and
gain, Ebers-Moll model, Non-idealities in BJT, Gummel Poon Model, HBT, BJT
Transient and small signal behavior, Metal-Semiconductor contact (Schottky
Barrier/Diode, Ohmic Contacts) and capacitance characteristics, Thermionic
emission current flow and fermi-level pinning
Week 6: Field Effect Transistors
(JFET, MESFET, HEMT), MOS Band diagram and C-V characteristics, Threshold
voltage and Interface charges, MOSFET I-V, gradual channel approximation and
frequency response, non-idealities and CMOS
Week 7: Semiclassical Transport
Theory -: Distribution Function, Boltzmann Transport Equation (BTE),
Relaxation-Time Approximation (RTA), Scattering and Mobility.
Week 8: Drift-Diffusion (DD)
model-1 -: Drift-Diffusion Model Derivation and dielectric relaxation time, Taylor
series expansion and Finite Difference method, Normalization, Scaling and Linearization
of Poisson’s Equation and Scharfetter–Gummel Discretization of the Continuity
Equation
Week 9: Drift-Diffusion (DD)
model-2 -: Generation and Recombination models, Derivation of SRH model,
Boundary conditions, Gummel’s Iteration Method and Newton’s Method, Drift-Diffusion
Application example
Week 10: Hydrodynamic Modeling -:
As extension of DD model, Carrier Balance, Energy balance and momentum balance
Equations, Direct solution scheme through Monte Carlo simulations
Week 11: Quantum Transport models
-: Tunneling, Schrodinger equation and free particle, potential step, potential
barrier, Transfer Matrix Approach, Quantum Mechanical corrections to standard
approach.
Week 12: Examples through
commercial device simulation tools, Models for DD, Hydrodynamic simulations,
Mobility and G-R models, Selected Examples
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