Is E-field in pn-junctions changing linearly with bias?

In summary, the electric field in the depletion region changes nonlinearly with reverse bias and can be expressed by an equation dependent on the type of semiconductor material and structure. References for further information include J. Fonseca et al.'s "Electric Field in Semiconductor Depletion Regions" and S.M. Sze and K.K. Ng's "Physics of Semiconductor Devices".
  • #1
Hongtu
3
0
Hi guys, there are a lot of textbooks and articles describe the electric field in depletion region at thermal equilibium, but very few of them tell what happens to the field under bias. I am wondering if the electric field in the depletion region simply changes linearly with reverse bias? Or if there is another relationship? It will be great if you could give some references so that I can convince my colleague. Thanks :)
 
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  • #2
The electric field in the depletion region does change with reverse bias, however the relationship is nonlinear. The exact equation will depend on the type of semiconductor material and structure you are using. For an n-type silicon junction, the electric field can be expressed as a function of the applied voltage V according to the following equation:E = (2Vσ/ε)^(1/2)where σ is the surface charge density and ε is the permittivity of the silicon. For more information, see the following references:1. J. Fonseca, et al., “Electric Field in Semiconductor Depletion Regions”, IEEE Transactions on Electron Devices, vol. 56, no. 9, pp. 1858–1863, 2009. 2. S.M. Sze and K.K. Ng, Physics of Semiconductor Devices, 3rd ed., John Wiley & Sons, 2006.
 

1. How does a pn-junction affect the electric field?

A pn-junction is a type of semiconductor junction that creates a depletion region between the p-type and n-type materials. This depletion region results in a built-in electric field that opposes the diffusion of charge carriers and creates a potential barrier.

2. Is the electric field in a pn-junction constant?

No, the electric field in a pn-junction is not constant. It varies with the bias applied to the junction. When a forward bias is applied, the electric field decreases, and when a reverse bias is applied, the electric field increases.

3. Does the electric field in a pn-junction change linearly with bias?

In ideal conditions, the electric field in a pn-junction changes linearly with bias. However, in real-world scenarios, the electric field may not change linearly due to factors such as impurities, defects, and non-uniform doping levels.

4. How does the electric field affect the behavior of a pn-junction?

The electric field in a pn-junction plays a crucial role in controlling the flow of charge carriers and determining the overall behavior of the junction. It is responsible for creating the potential barrier, controlling the width of the depletion region, and influencing the junction capacitance.

5. What is the relationship between the electric field and current in a pn-junction?

The electric field and current in a pn-junction have an inverse relationship. As the electric field increases, the current decreases due to the increased potential barrier. Conversely, as the electric field decreases, the current increases due to the reduced potential barrier.

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