PN-junction dynamics
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Unified Mathematical Framework for Semiconductor Devices, Junction Dynamics, and Circuit Analysis
Abstract: Semiconductor devices form the fundamental building blocks of modern electronic and integrated circuit systems, where their electrical behavior is governed by coupled carrier transport, electrostatic, and circuit-level phenomena. This work presents a unified mathematical framework for modeling semiconductor devices, junction dynamics, and their interaction with electronic circuits. The formulation integrates fundamental semiconductor relations, carrier concentration, drift–diffusion transport, Poisson’s equation, continuity equations, PN-junction behavior, diode characteristics, bipolar junction transistor operation, and …
Published in Journal of Semiconductor Devices and Circuits · Vol. 13, Issue 2, 2026 · pp. 37–47 Read article