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Anderson's rule : ウィキペディア英語版
Anderson's rule
Anderson's rule is used for the construction of energy band diagrams of the heterojunction between two semiconductor materials. It is also referred to as the electron affinity rule, and is closely related to the Schottky-Mott rule for metal-semiconductor junctions. Anderson's rule was first described by R. L. Anderson in 1960.〔Anderson, R. L., (1960). Germanium-gallium arsenide heterojunction, ''IBM J. Res. Dev.'' 4(3), pp. 283–287〕
Anderson's rule states that when constructing an energy band diagram, the vacuum levels of the two semiconductors on either side of the heterojunction should be aligned (at the same energy).〔Borisenko, V. E. and Ossicini, S. (2004). ''What is What in the Nanoworld: A Handbook on Nanoscience and Nanotechnology''. Germany: Wiley-VCH.〕
In the field of computer security, Anderson's rule refers to a principle formulated by Ross J. Anderson: by their nature large databases will never be free of abuse by breaches of security. If a large system is designed for ease of access it becomes insecure; if made watertight it becomes impossible to use.〔(Guardian newspaper article on a security breach, in which Anderson's Rule is formulated )〕
==Using Anderson's rule to construct energy band diagrams==

Once the vacuum levels are aligned it is possible to use the electron affinity and band gap values for each semiconductor to calculate the conduction band and valence band offsets.〔Davies, J. H., (1997). ''The Physics of Low-Dimensional Semiconductors''. UK: Cambridge University Press.〕 The electron affinity (usually given by the symbol \chi in solid state physics) gives the energy difference between the lower edge of the conduction band and the vacuum level of the semiconductor. The band gap (usually given the symbol E_) gives the energy difference between the lower edge of the conduction band and the upper edge of the valence band. Each semiconductor has different electron affinity and band gap values. For semiconductor alloys it may be necessary to use Vegard's law to calculate these values.
Once the relative positions of the conduction and valence bands for both semiconductors are known, Anderson's rule allows the calculation of the band offsets of both the valence band (\Delta E_) and the conduction band (\Delta E_).
After applying Anderson's rule and discovering the bands' alignment at the junction, Poisson’s equation can then be used to calculate the shape of the band bending in the two semiconductors.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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