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Analytical calculation of the surface potential and the band profile within theiregion of a semi‐infinitep/isemiconductor junction with arbitrary thickness and surface charge coverage of the intrinsic top layer

 

作者: J. Ristein,  

 

期刊: Journal of Applied Physics  (AIP Available online 1995)
卷期: Volume 78, issue 10  

页码: 6083-6090

 

ISSN:0021-8979

 

年代: 1995

 

DOI:10.1063/1.360730

 

出版商: AIP

 

数据来源: AIP

 

摘要:

An analytical calculation scheme for the band profile in theiregion of a semi‐infinitep/iorn/ijunction with arbitrary thickness of the intrinsic top layer is presented. Using this algorithm the surface potential as a function ofi‐layer thickness as well as the band profile within the top layer can be calculated without mathematical approximations as long as the surface potential is held a fewkTaway from its intrinsic position by the doped sublayer, i.e., up to a critical thickness. Above that thickness the band profile can be approximated with sufficient accuracy by that of the corresponding infinite junction for which the exact solution will be also given in analytical terms. In a second step an arbitrary surface charge layer is incorporated into the algorithm which can modify the band profile considerably. The method whose mathematical derivation is presented in detail in this article was motivated by experiments on the surface‐near passivation of dopants in silicon by hydrogen but should be generally useful for the discussion ofp/iorn/ijunctions. ©1995 American Institute of Physics.

 

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