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I want to derive the conductivity of graphene.

I'm looking for a formula of the sort:

[tex]J = \frac{e}{\hbar} n \frac{dE}{dk} D(E) \Delta E[/tex]

where

[tex]\frac{1}{\hbar} \frac{dE}{dk}[/tex]

is the electron velocity,

[tex]D(E) = \frac{dN}{dE}[/tex]

is the density of states,

[tex]\Delta E[/tex]

might be the applied voltage.

[tex]n[/tex]

is the free electron density,

[tex]J[/tex]

is the current density and

[tex]e[/tex] is the electron charge.

Thanks,

Remy.

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# Deriving electrical conduction in 2d crystal

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