Resistance and magnetic field effects for p-doped Ge

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Discussion Overview

The discussion revolves around the effects of a magnetic field on the resistance of p-doped germanium (Ge) samples, particularly focusing on the observed quadratic trend in resistance as a function of the magnetic field. Participants explore theoretical explanations for this behavior and seek resources for further understanding.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Experimental/applied

Main Points Raised

  • One participant describes an experiment measuring the resistance of p-doped Ge and notes a quadratic trend in resistance as a function of the magnetic field, questioning if there is a theoretical explanation for this observation.
  • Another participant suggests the Hall effect as a potential explanation but does not provide a detailed theoretical framework.
  • A participant mentions that the current in a material is influenced by the magnetic field, implying a relationship to resistance, but acknowledges the complexity of the calculations involved.
  • Several participants discuss resources, with suggestions to look for books on the Hall effect or Boltzmann transport theory for deeper insights.
  • A participant references a specific document and questions the complexity of the final result, indicating it is not a simple function.
  • Concerns are raised about a discrepancy in mobility measurements, where fitting the data with a proposed function yields a mobility value that is half of what was measured using traditional methods.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the theoretical underpinnings of the observed quadratic trend and the implications for mobility measurements. There is no consensus on the theoretical explanation or the resolution of the mobility discrepancy.

Contextual Notes

Participants acknowledge the complexity of the calculations involved in relating resistance to magnetic fields and the potential for different interpretations of the results. The discussion highlights the need for further exploration of the theoretical models involved.

MementoMori96
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Hi, we have done an experiment where we have to measure the resistance of a sample of Ge doping-p and how it changes due to a magnetic field perpendicular to the sample with a costant current.
We have found that R(B) has a quadratic trend (we have fit the dates with y = a[1+b*B^2] with a and b free parameters) . Is there a theory that can explain this ?

Thanks :)
 
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Yes but how? I’m not able to find the fit theorically
 
The current in a material is affected via the magnetic field and can be equated to a resistance... it isn't an easy calculation but is doable.
 
Thanks ! Have you any books or web pages in which i can deepen this topic?
 
Look for a book on the Hall effect or on a text about Boltzmann transport theory
 
No, not a simple function, exactly what I said previously. Yes, you are on the right track, magneto-resistance is what you measured and are calculating.
 
Hi, this doubt is born because my professor has found this quadratic trend in this way (see the image)

But if we fit the dates with the function that i have written before we will not find the mobility that we have measure with the usual method but mobility/2. Why?
 

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  • #10
MementoMori96 said:
Hi, this doubt is born because my professor has found this quadratic trend in this way (see the image)

But if we fit the dates with the function that i have written before we will not find the mobility that we have measure with the usual method but mobility/2. Why?

Anyone ?
 

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