Is it weird for graphene, the group velocity and momentum

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SUMMARY

The discussion focuses on the relationship between group velocity and momentum in graphene, specifically regarding Dirac electrons. It is established that Dirac electrons in graphene are massless, leading to an effective mass of zero. This characteristic is a significant factor contributing to the excitement surrounding graphene's potential applications in various fields.

PREREQUISITES
  • Understanding of group velocity in quantum mechanics
  • Familiarity with energy dispersion relations
  • Knowledge of Dirac electrons and their properties
  • Basic concepts of graphene and its electronic structure
NEXT STEPS
  • Research the implications of massless Dirac electrons in graphene
  • Explore energy dispersion relations in two-dimensional materials
  • Learn about the applications of graphene in electronics and materials science
  • Investigate the role of effective mass in quantum mechanics
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Physicists, materials scientists, and engineers interested in the electronic properties of graphene and its applications in advanced technologies.

PRB147
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everyone knows, there exists the relation between the group velocity and energy dispersion.
a question is how to expression the relation between the velocity and momentum k?
it seems that the Dirac electron in graphene is massless.
 
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PRB147 said:
it seems that the Dirac electron in graphene is massless.

Yes, the effective mass is zero. That's one of the reasons for the hpye about graphene.
 

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