General relativity and graphene

Averaging over disorder
A. Cortijo and M.A.H V , arxiv 0709.2698 .
Topological defects induce long range correlated disorder. The effective potential:
i
V = i Λ() r ∂ −i ( ∂ Λ())
r
1442443
i
14 424443
i
η ψγ ψ ψγ ψ
V
η
2
V
1 2
i
from the curved
gamma matrices
from the spin connection
It can be argued that V has the following variance:
V( q) V ( − q)
=δ
i j ij
n=density of disorder
n
q
2
2
8e
4
σω ( = 0) == ( )
h 3π
g