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arXiv 1706.04584cond-mat.mes-hall
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半导体表面电流的漂移扩散方程研究

Electric Currents at Semiconductor Surfaces from the Perspective of Drift-Diffusion Equations

Jakub Lis

摘要:

表面灵敏电流测量是一种重要的实验工具,但理论模型却很难证实。我们发现,漂移扩散方程提供了一个框架,这样的实验的一致描述。电流计算作为一个扰动的平衡溶液描绘的空间电荷层。我们非常详细地调查了积累层和反转层。依靠数值计算结果,我们确定了适当的长度参数,其中的空间电荷层的长度的关系并不简单。如果长度参数足够大,长程模式占主导地位的格林函数的电流方程,导致二维电流。此外,我们表明,表面的电流行为是由只有几个参数。这解释了这样一个事实,即简单的电导率模型已被证明是有效的,但从表面电流的电导剖面重建,而值得怀疑。

英文摘要:

Surface sensitive electric current measurements are important experimental tools poorly corroborated by theoretical models. We show that the drift-diffusion equations offer a framework for a consistent description of such experiments. The current flow is calculated as a perturbation of an equilibrium solution depicting the space charge layer. We investigate the accumulation and inversion layers in great detail. Relying on numerical findings, we identify the proper length parameter, the relationship of which with the length of the space charge layer is not simple. If the length parameter is large enough, long-ranged modes dominate the Green's function of the current equation, leading to two-dimensional currents. In addition, we demonstrate that the surface behavior of the currents is ruled by only a few parameters. This explains the fact that simplistic conductivity models have proven effective but makes reconstructions of conductance profiles from surface currents rather questionable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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