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Explore quantum transport phenomena beyond one-dimensional systems in this 11-minute lecture from the nanoHUB-U course on Fundamentals of Nanoelectronics Part B. Delve into advanced concepts in quantum transport theory as part of a comprehensive series that examines how billion-plus nanotransistors enable modern smartphones, with each transistor having an active region barely a few hundred atoms long. Learn how nanotechnology has deepened understanding of current flow on an atomic scale through accessible explanations that require only basic knowledge of linear algebra and differential equations. Discover connections between quantized conductance in short ballistic conductors and Ohm's law in long diffusive conductors, while exploring fundamental conceptual issues including the meaning of resistance on an atomic scale, electricity-heat interconversion, the second law of thermodynamics, and the fuel value of information. Build upon foundational quantum transport principles to understand multi-dimensional transport phenomena in nanoelectronic devices.
