Is it weird for graphene, the group velocity and momentum

In summary, Graphene is a highly versatile and remarkable material known for its strength, flexibility, and conductivity. Its group velocity can range from 10^5 m/s to 10^6 m/s and is closely related to its electronic properties. Graphene cannot have negative momentum and its group velocity is not constant, varying with external factors.
  • #1
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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  • #2
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.
 

Related to Is it weird for graphene, the group velocity and momentum

1. Is graphene a weird material?

No, graphene is not a weird material. It is a highly versatile and remarkable material, known for its strength, flexibility, and conductivity.

2. What is the group velocity of graphene?

The group velocity of graphene depends on various factors such as temperature, doping, and strain. It can range from 10^5 m/s to 10^6 m/s.

3. How is momentum related to graphene?

Momentum is a physical quantity that describes the movement of an object. In the case of graphene, momentum is closely related to its electronic properties and determines its conductivity and other characteristics.

4. Can graphene have negative momentum?

No, graphene cannot have negative momentum. It follows the laws of classical mechanics, where momentum is always a positive quantity.

5. Does graphene have a constant group velocity?

No, the group velocity of graphene is not constant. It can vary depending on external factors such as temperature, doping, and strain.

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