Explore quantum transport phenomena in nanoelectronics through this comprehensive 13-hour 52-minute course that delves into the fundamental physics governing current flow at the atomic scale. Master the Schrödinger equation and its applications to electronic transport, beginning with wave equations and matrix formulations before progressing to dispersion relations and state counting in one-dimensional and multi-dimensional systems. Investigate advanced materials like graphene, reciprocal lattices, and valley physics while developing expertise in the Non-Equilibrium Green's Function (NEGF) formalism for quantum transport calculations. Learn scattering theory, transmission calculations, and resonant tunneling phenomena, then apply these concepts to practical scenarios including dephasing effects and inelastic scattering processes. Discover spin-dependent transport through spin valves and spin circuits, exploring spin diffusion, spin-orbit coupling, and topological insulators. Examine the Landau-Lifshitz-Gilbert equation for magnetization dynamics and pseudo-spin systems, gaining insights into the interconversion of electricity and heat, thermodynamic principles at the nanoscale, and the fundamental meaning of resistance in atomic-scale devices. Designed for learners with basic calculus, differential equations, and matrix algebra knowledge, this course requires no prior quantum mechanics background while providing deep understanding of how billion-plus nanotransistors enable modern smartphone technology.

Syllabus

nanoHUB-U Fundamentals of Nanoelectronics B L1.1: Schrodinger Equation: Introduction
nanoHUB-U Fundamentals of Nanoelectronics B L1.2: Wave Equation
nanoHUB-U Fundamentals of Nanoelectronics B L1.3: Schrodinger Equation: Matrix Equation
nanoHUB-U Fundamentals of Nanoelectronics B L1.4: Dispersion Relation
nanoHUB-U Fundamentals of Nanoelectronics B L1.5: Counting States
nanoHUB-U Fundamentals of Nanoelectronics B L1.6: Beyond 1D
nanoHUB-U Fundamentals of Nanoelectronics B L1.7: Lattice with a Basis
nanoHUB-U Fundamentals of Nanoelectronics B L1.8: Graphene
nanoHUB-U Fundamentals of Nanoelectronics B L1.9: Reciprocal Lattice/Valleys
nanoHUB-U Fundamentals of Nanoelectronics B L1.10: Summing Up
nanoHUB-U Fundamentals of Nanoelectronics B L2.1: Introduction
nanoHUB-U Fundamentals of Nanoelectronics B L2.2: Semiclassical Model
nanoHUB-U Fundamentals of Nanoelectronics B L2.3: Contacting Schrodinger: Quantum Model
nanoHUB-U Fundamentals of Nanoelectronics B L2.4: NEGF Equations
nanoHUB-U Fundamentals of Nanoelectronics B L2.5: Current Operator
nanoHUB-U Fundamentals of Nanoelectronics B L2.6: Scattering Theory
nanoHUB-U Fundamentals of Nanoelectronics B L2.7: Transmission
nanoHUB-U Fundamentals of Nanoelectronics B L2.8: Resonant Tunneling
nanoHUB-U Fundamentals of Nanoelectronics B L2.9: Dephasing
nanoHUB-U Fundamentals of Nanoelectronics B L2.10: Summing Up
nanoHUB-U Fundamentals of Nanoelectronics B L3.1: Introduction
nanoHUB-U Fundamentals of Nanoelectronics B L3.2: Basis Transformation
nanoHUB-U Fundamental of Nanoelectronics B L3.3: More Examples: Self-Energy
nanoHUB-U Fundamentals of Nanoelectronics B L3.4: Recursive Method
nanoHUB-U Fundamentals of Nanoelectronics B L3.5: Graphene
nanoHUB-U Fundamentals of Nanoelectronics B L3.6: Magnetic Field
nanoHUB-U Fundamentals of Nanoelectronics B L3.7: More Examples: Fermi's Golden Rule
nanoHUB-U Fundamentals of Nanoelectronics B L3.8: Inelastic Scattering
nanoHUB-U Fundamentals of Nanoelectronics B L3.9: Strong correlations
nanoHUB-U Fundamentals of Nanoelectronics B L3.10: Summing Up
nanoHUB-U Fundamentals of Nanoelectronics B L4.1: Introduction
nanoHUB-U Fundamentals of Nanoelectronics B L4.2: Spin Valve
nanoHUB-U Fundamentals of Nanoelectronics B L4.3: Spin Circuit
nanoHUB-U Fundamentals of Nanoelectronics B L4.4: Spin Diffusion
nanoHUB-U Fundamentals of Nanoelectronics B L4.5: Vectors and Spinors
nanoHUB-U Fundamentals of Nanoelectronics B L4.6: Spin-orbit Coupling
nanoHUB-U Fundamentals of Nanoelectronics B L4.7: Topological Insulators
nanoHUB-U Fundamentals of Nanoelectronics B L4.8: LLG Equation
nanoHUB-U Fundamentals of Nanoelectronics B L4.9: Pseudo-Spins
nanoHUB-U Fundamentals of Nanoelectronics B L4.10: Summing up
nanoHUB-U Fundamentals of Nanoelectronics B: Quantum Transport: Scientific Overview
nanoHUB-U Fundamentals of Nanoelectronics B: Epilogue: A Different Perspective