Calculating Electron Density of States at Dirac Point in Graphene

[Aelo]

Homework Statement

Using the dispersion relation at the Dirac Point calculate the electron density of states for graphene in both the valence and conduction band.

Homework Equations

ρ = density of states = k²/pi²

The Attempt at a Solution

I looked up what Dirac Points actually are, "which are defined as the contact points between the two bands." I have been unable to determine how to relate that to the density of states equations I have.

 

[hjelmgart]

The dirac points are at the boundary of the 1st BZ.

Try reading this: http://en.wikipedia.org/wiki/Graphene#Electronic

It gives the dispersion relation you need to use, but you have probably seen that before.