Band Bending & Donor Concentration in Semiconductors

This is because the donor concentration affects the chemical potential of the semiconductor. According to the Schottkey model, the band bending is influenced by the metal's work function and the semiconductor's affinity, but the donor concentration also plays a role. Therefore, the amount of potential change can be influenced by the donor concentration. In summary, the amount of band bending in a n-type semiconductor brought into contact with a metal depends on the donor concentration, as it affects the chemical potential of the semiconductor. This is in addition to the influence of the metal's work function and the semiconductor's affinity, as stated by the Schottkey model.
  • #1
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When a n-type semiconductor is brought into contact with a metal, then alignment of the chemical potentials of both systems leads to band bending within the depletion layer, e.g on the semiconductor side. does the amount of band bending (change of potential) also depend on the donor concentration? The Schottkey model says, that the band bending only depends on the metals workfuction and the affinity of the semiconductor. But the chemical potential of a semiconductor depends on the donor concentration. So the amount of potential change should depend also on the Donor concentration?
 
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  • #2
Yes, the amount of potential change depends on the donor concentration.

Or we can say, the degree of the conduction (valence) band bending will be affected due to the dopant.
 

Related to Band Bending & Donor Concentration in Semiconductors

1. What is band bending in semiconductors?

Band bending refers to the bending or tilting of the energy bands in a semiconductor due to the presence of an external electric field. This causes a difference in the energy levels of electrons at the surface of the semiconductor compared to those in the bulk, resulting in a depletion or accumulation of charge at the surface.

2. How does donor concentration affect band bending in semiconductors?

Donor concentration plays a crucial role in determining the magnitude of band bending in semiconductors. Higher donor concentrations lead to a larger number of free electrons available at the surface, resulting in a higher surface potential and a larger bending of the energy bands. Conversely, lower donor concentrations result in less band bending.

3. What is the relationship between band bending and surface potential in semiconductors?

Band bending and surface potential are directly related in semiconductors. As the energy bands bend, the surface potential increases due to the separation of charges at the surface. The magnitude of band bending and surface potential can be calculated using the Poisson equation, which takes into account the donor concentration, applied electric field, and semiconductor properties.

4. How does temperature affect band bending in semiconductors?

Temperature has a significant impact on band bending in semiconductors. As temperature increases, the thermal energy of the electrons also increases, leading to a higher probability of electrons escaping from the surface and reducing the band bending effect. Additionally, temperature can also affect the mobility of electrons, which can further impact the magnitude of band bending.

5. How is band bending in semiconductors measured?

There are several techniques used to measure band bending in semiconductors, including capacitance-voltage (CV) measurements, Kelvin probe force microscopy (KPFM), and scanning tunneling microscopy (STM). These methods involve applying an external voltage or electric field to the semiconductor and measuring the resulting changes in surface potential or electric fields, which can then be used to calculate the band bending. Other indirect methods, such as Hall effect measurements, can also be used to estimate the band bending in a semiconductor.

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