Affiliation:
1. Felix Bloch Institute for Solid State Physics Universität Leipzig Linnéstr. 5 04105 Leipzig Germany
Abstract
The problem of the potential, electrical field and charge density in a space charge region is revisited. 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.
Subject
Condensed Matter Physics,Electronic, Optical and Magnetic Materials
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4. Lin(x)=∑k=1∞(xk/kn)$\left(\text{Li}\right)_{n} \left(\right. x \left.\right) = \sum_{k = 1}^{\infty} \left(\right. x^{k} / k^{n} \left.\right)$; the polylogarithm of ordern = 2 is also called dilogarithm [6].