Is there relationship between resistivity and bandgap?

In summary, there is a connection between the bandgap and resistivity in semiconductors, but it is not a direct relationship. The bandgap is related to the atomic arrangement and the resistivity is affected by carrier concentration and mobility, which can be altered through doping. There is also a correlation between the resistivity and temperature, as well as the IV characteristics of a material. However, the specific question asked is still unclear.
  • #1
Kit
21
0
is the material, which has a larger bandgap, more resistive:confused: ?

thanks for answering:smile:

kit
 
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  • #2
As far as I know for semiconductors, there isn't any relationship. The bandgap has to do with the atomic arrangment. The conductivity, which is the inverse of resistivity, is a function of carrier concentration and mobility. These can be altered through doping. I don't even see a relationship among intrinsic samples.
 
  • #3
Kit said:
is the material, which has a larger bandgap, more resistive:confused: ?
thanks for answering:smile:
kit

Your question itself is confusing.

There is a clear connection between the two as far as the dependence of the resistivity as a function of temperature. In other words, someone with a larger bandgap will have a different temperature evolution of resistivity when compared with another material with a smaller band gap.

One can also plot the IV characteristics and see a "gap" in the low voltage region, the size of which corresponds to the size of the band gap.

But really, I'm not sure what exactly the question is asking for.

Zz.
 
  • #4
i have a clearer picture now

thanks for answering:smile:
 

1. What is resistivity and how is it related to bandgap?

Resistivity is a measure of a material's ability to resist the flow of electric current. It is related to the bandgap because the bandgap is the amount of energy required for an electron to move from the valence band to the conduction band. This energy barrier affects the material's conductivity and therefore its resistivity.

2. How does the bandgap affect the resistivity of a material?

The bandgap directly affects the resistivity of a material because it determines the energy required for electrons to move and contribute to the flow of electric current. A larger bandgap means a higher energy barrier, resulting in lower conductivity and higher resistivity.

3. Is there a mathematical relationship between resistivity and bandgap?

Yes, there is a mathematical relationship between resistivity and bandgap. It can be described by the formula ρ = E^2/NE_c, where ρ is resistivity, E is the bandgap energy, N is the number of charge carriers, and E_c is the effective mass of the charge carriers.

4. How do different materials with varying bandgaps compare in terms of resistivity?

Materials with larger bandgaps tend to have higher resistivity, while materials with smaller bandgaps have lower resistivity. This is because the bandgap directly affects the material's conductivity, with larger bandgaps resulting in lower conductivity and higher resistivity.

5. Can the resistivity of a material be changed by altering its bandgap?

Yes, the resistivity of a material can be changed by altering its bandgap. This can be done through various methods such as doping or applying external electric fields. By changing the bandgap, the energy barrier for electrons to move is also altered, affecting the material's conductivity and therefore its resistivity.

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