Abstract
The following theorem regarding charge transport in solids is proved: The current of a single mobile species given by the linear diffusion equation under constant voltage and fixed values for the conductivity at the interfaces is retarded by the space charge of that mobile species. Two related theorems, likewise proved, show that dominant space charge of opposite sign to a given mobile species enhances the current of the mobile species, while dominant space charge of the same sign as a given mobile species retards the current of the mobile species.
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