How does doping work in semiconductors?

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    Doping Semiconductors
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Discussion Overview

The discussion centers on the mechanisms of doping in semiconductors, particularly how the introduction of impurities affects electron and hole concentrations, the Fermi level, and the overall charge carrier dynamics. Participants explore theoretical aspects, implications of doping on semiconductor behavior, and specific examples involving donor and acceptor atoms.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that the product of hole and electron concentrations remains constant at a given temperature, questioning whether this principle applies to doping.
  • Others argue that doping alters the position of the Fermi level, complicating the application of the initial argument regarding constant product concentrations.
  • A participant references a textbook that states introducing impurities increases electron concentration while decreasing hole concentration, suggesting a relationship between doping and charge carrier dynamics.
  • There is a discussion about donor atoms and whether the thermal excitation of electrons to the conduction band results in the creation of holes at the donor energy level.
  • Some participants clarify that donor atoms do not leave holes in the same way intrinsic semiconductors do, as they donate electrons directly to the conduction band.
  • A participant proposes a revised statement about the relationship between impurity concentration and the product of electron and hole concentrations, questioning if this leads to n-type behavior in semiconductors.
  • A question is raised about how acceptor atoms become negatively charged, prompting further clarification about their structure and charge dynamics.

Areas of Agreement / Disagreement

Participants express differing views on the implications of doping on the Fermi level and charge carrier concentrations. Some agree on the theoretical principles but disagree on their application to doping scenarios, indicating that the discussion remains unresolved.

Contextual Notes

There are limitations regarding assumptions about the behavior of charge carriers in doped semiconductors, as well as the dependence on specific definitions of terms like "Fermi level" and "chemical potential." The discussion also reflects varying interpretations of textbook statements.

Who May Find This Useful

This discussion may be of interest to students and professionals in semiconductor physics, materials science, and electrical engineering, particularly those exploring the effects of doping on semiconductor properties.

Niles
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Hi all

It can be shown that the product of the hole and electron concentration is constant at a given temperature in a semiconductor, as long as the Fermi level is in the ~middle of the gab.

When we dope semiconductors, do we use the above argument? I.e., does doping work because of this argument?
 
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If my question is unclear, I can explain it in a new way.
 
It is puzzling because of your last statement in the OP. When you dope a semiconductor, the Fermi level (or more precisely, the chemical potential) is no longer in the middle of the band gap. So I'm not sure how using "the above argument" would explain doping, i.e I'm not sure what you're getting at.

Zz.
 
My book says (and I am quoting): "Because the product of the electron and hole concentration is a constant independent of impurity concentration at a given temperature, the introduction of a small proportion of a suitable impurity to increase n, say, must decrease p." Here n is the concentration of electrons, and p is the concentration of holes.

And the correct assumption in the OP is: The distance of the Fermi level (i.e. the chemical potential, since we are dealing with semiconductors) from the edge of both bands is large in comparision with T.

I am using Kittel (it's page 207).

What I don't understand is, when we have a donor atom in a semiconductor, then the extra electron gets thermally excited to the conduction band. But that still brings down a hole to the donor energy level, right?
 
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I still don't see how that passage that you quoted implied that the chemical potential doesn't change with doping. The fact that you now have more charge carriers in the conduction band when you n-doped means that the statistical count of charge carriers that determines the chemical potential has changed.

Zz.
 
You make a good point.

When we have a donor atom in a semiconductor, then the extra electron gets thermally excited to the conduction band. Does that bring down a hole to the donor energy level?
 
Niles said:
You make a good point.

When we have a donor atom in a semiconductor, then the extra electron gets thermally excited to the conduction band. Does that bring down a hole to the donor energy level?

This is not similar to an intrinsic semiconductor where an electron promoted to the conduction band leaves behind a hole. The "donor" by definition, "donates" electrons to the conduction band. It doesn't leave any holes in the donor level.

Zz.
 
Ahh, I see. Very helpful.

Disregard my OP, but substitute it with the following statement: "It can be shown that the product of the hole and electron concentration is constant at a given temperature in a semiconductor, independent of impurity concentration at a given temperature." This is shown it both Kittel and Ashcroft and Mermin (standard textbooks within this field).

Is it because of this fact (i.e. that np=constant, where n is electron concentration and p is hole concentration) that we have a n-type semiconductor, when it contains donor atoms? I mean, if 1 donor atom donates 1 electron to the conduction band, does this imply that there is 1 hole less in the valence band, and thus we have a n-type semiconductor?
 
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how does the acceptor atom get negatively charged ? can u guys answer the question
 
  • #10
We regard the acceptor atom (e.g. gallium in germanium) as being a germanium atom, but with a negative charge in the nucleus and a missing electron (hole) orbiting the nucleus.
 

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