Is it possible to shift the fermi level?

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Shifting the Fermi level in materials can be achieved through doping with pentavalent or trivalent elements, which alters the electronic properties of semiconductors. The discussion raises the question of whether the Fermi level can be shifted without changing the positions of the valence and conduction bands. Clarification is sought on the relationship between the Fermi level and the chemical potential, particularly at different temperatures. Methods such as doping and applying pressure are mentioned as ways to influence the Fermi level, but the mechanisms behind these changes require further explanation. Understanding the exact definition of the Fermi level and its behavior in metals versus semiconductors is crucial for this discussion.
Anoop MD
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I know we can shift the fermi level by doping the material with other elements. In case of semiconductors doping with the pentavalent or trivalent will change the fermi level. But my question is ''can we shift the fermi level, without altering the position of valence band and conduction band?" Thank you.
 
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Anoop MD said:
I know we can shift the fermi level by doping the material with other elements. In case of semiconductors doping with the pentavalent or trivalent will change the fermi level. But my question is ''can we shift the fermi level, without altering the position of valence band and conduction band?" Thank you.

This is rather vague. The location of the valence and conduction band are often indicated with respect to the Fermi energy, i.e. in many instances, the Fermi energy is referenced to be "zero". Even if it isn't, when you talk about position of the valence and conduction band, what would be your reference point? Are you talking about simply shifting them simultaneously up and down, keeping their positions relative to each other constant (i.e. keeping the gap the same)? Isn't this similar to just shifting the Fermi level under the rigid band assumption?

Zz.
 
thank you for your explanation, I think my question is incomplete. I ll get back soon with clear question.
 
You can shift the chemical potential which is the same as the Fermi energy at T=0 but differs at T>0.
 
There are methods which I read to change the fermi level, one is doping another is applying pressure but I can't understand how these things change the fermi level. Please explain. Thank you
 
Anoop MD said:
There are methods which I read to change the fermi level, one is doping another is applying pressure but I can't understand how these things change the fermi level. Please explain. Thank you

1. Figure out the EXACT definition of "Fermi level".

2. Take a bunch of electrons, and force it into a metal.

3. What just happened to the those electrons? Where did they go as far as the energy level that they occupy in the metal is concerned?

4. What just happened to the Fermi level?

5. How is this different if the metal is replaced by a semiconductor? Will it change the band gap, within the rigid-band assumption?

Zz.
 

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