DOI: 10.1002/pssb.202300257 ISSN:

Space Charge Region Beyond the Abrupt Approximation

Marius Grundmann
  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

We revisit the problem of the potential, electrical field and charge density in a space charge region. Within the Boltzmann approximation, the asymptotic solution is found analytically. The exact solution everywhere can be found from numerically integrating an analytical function. The solution is compared to the popular abrupt (or depletion) approximation and an analytical approximation is given.

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