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February 15, 1958Physical Review242 citations

Electron-Hole Recombination Statistics in Semiconductors through Flaws with Many Charge Conditions

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CSChih‐Tang SahWSW. Shockley

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Abstract

A flaw with s electronic units of negative charge makes transitions to charge s+1 by hole emission at rate e (p, s) or by electron capture at rate nc (n, s) and returns to charge s at rates e (n, s+1) and pc (p, s+1). Here n is the electron density in the conduction band and p is the hole density in the valence band. The steady-state ratio of populations Nₒ+₁ to Nₒ is given by c (n, s) n+n^{* (s+12) }c (p, s+1) p+{p^* (s+12) }, where n^* (s+12) =e (p, s) c (n, s) and p^* (s12) =e (n, s+1) c (p, s+1). This distribution corresponds to an effective Fermi level for the flaws only for the condition of thermal equilibrium. Expressions for the recombination rate based on the steady-state distribution are derived. For a given transition s+1 the following special cases are defined: (1) denuded: nn^*, pp^*; (4) flooded: n>n^*, p>p^*. Diagrams which aid in visualizing the relative importance of the various transitions are presented. Some speculations on the nature of trapping centers are given.

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Cite This Study

Sah et al. (1958) studied this question.

synapsesocial.com/papers/6a16fc4cc7240d1a707bddd4https://doi.org/10.1103/physrev.109.1103
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