What Are Charge Carriers and Bilayer Properties in Graphene?

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SUMMARY

Charge carriers in graphene are identified as massless fermions, which are accurately described by a Dirac-like equation rather than the traditional Schrödinger equation. In contrast, bilayer graphene features massive Dirac fermions, which exhibit distinct material properties due to their different mathematical descriptions. Understanding these concepts is crucial for exploring the unique electronic characteristics of graphene and its applications in advanced materials science.

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  • Understanding of quantum mechanics, particularly Dirac and Schrödinger equations.
  • Familiarity with the electronic properties of materials, specifically graphene.
  • Knowledge of fermions and their behavior in condensed matter physics.
  • Basic concepts of bilayer graphene and its structural characteristics.
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  • Research the mathematical framework of Dirac-like equations in condensed matter physics.
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marie2010
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hi,
I was reading an article about graphene and I came across some concepts I am not familiar with. I was just wondering if someone could help me understand them:

The article says that charge carriers in graphene are massless fermions that are described with a Dirac-like equation rather than Schrödinger equation. The bilayer graphene are, on the other hand, massive Dirac fermions. Can someone comment on what it all means (in terms of the material properties, etc)? Why is it important?
Thanks a lot.

marie
 
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I am not sure but I think at zero point charge carries behave like relativistic particle. Which means E=h.f . I will ask this issue to my supervisors in my project group. I will return you in a few days. Thank you very much :)
 


the equations describing the graphene is the same as that for the neutrino (except the velocity). neutrino is massless. so does the graphene.
The bilayer graphene is described by the different equations which have the second order
derivative on the x,y coordinates, so massive Dirac fermions
 

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