Why the physical meaning of the quantum Hall effect is important

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SUMMARY

The quantum Hall effect (QHE) is crucial in graphene transport measurements due to its ability to provide insights into material properties and its potential application in creating quantum Hall resistance standards. The quantization of conductance observed in QHE confirms the two-dimensional nature of graphene, making it a significant area of study. As research progresses, the practical application of graphene in resistance standards is expected to gain traction, highlighting the importance of QHE in advancing material science.

PREREQUISITES
  • Understanding of the classical Hall effect
  • Familiarity with graphene as a two-dimensional material
  • Knowledge of quantum mechanics principles
  • Basic concepts of electrical conductance and resistance
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  • Explore the applications of graphene in quantum Hall resistance standards
  • Study the implications of two-dimensional electronic systems
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Researchers, physicists, and material scientists interested in the properties of graphene and its applications in quantum technology will benefit from this discussion.

skyhj105
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I have read some paper about transport measurement of graphene.
From classical hall effect, we can get some information about kind of charge carrier, charge density etc.
So, it is important for understanding matter.
But, I don`t know why quantum hall effect is important in graphene transport measurement.
It`s consequence is just a quantization of conductance and by this quantization, we can conclude this electronic system is just a 2D.
 
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skyhj105 said:
But, I don`t know why quantum hall effect is important in graphene transport measurement.
It`s consequence is just a quantization of conductance and by this quantization, we can conclude this electronic system is just a 2D.

Because I) it tells us quite a lot about the materials and II) graphene can be used to make a quantum Hall resistance standard, so it is an important application (it is still not used routinely, but that will happen quite soon)
 
f95toli said:
Because I) it tells us quite a lot about the materials and II) graphene can be used to make a quantum Hall resistance standard, so it is an important application (it is still not used routinely, but that will happen quite soon)
First of all, Thank you for your reply.
But your answer is too abstract for me to understand. Can you give me a example of property judged by quantum hall effect?
 
graphene is a 2-d system, the quantum Hall effect becomes extremely important.
 
Dr Transport said:
graphene is a 2-d system, the quantum Hall effect becomes extremely important.
The reason why it is important is that it is a evidence of 2D electronic structure. Is it right? and That`s all?
 
skyhj105 said:
The reason why it is important is that it is a evidence of 2D electronic structure. Is it right? and That`s all?

It is not clear to me what you are actually asking.
*Are you wondering why there is so much interest in the QHE in graphene?
*Are you wondering what you can learn from measurements of the QHE in graphene?

The two questions are of course related, but the main answer to the first questions is that QHE based resistance standards is an important -practical- application of graphene; if it wasn't for this fact there wouldn't be nearly as much interest in this topic.
 

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