Coulomb interaction in graphene

Transparency:t(") =!!!Herbut, Juricic, Vafek:c 1=25 " 6#$ 0.51212!!!Conductivity of clean graphene0.980.97t0.96400!1(1+ 2#$(") /c) 2500!600• What is the source of this discrepancy?"(nm)!Kubo formula: "(#) = 1 !# Lim j (q,#) j (%q,%#)q $0 x x#"(#) = Lim q $0!!&)("(#) = e24h 1+ c 1$ +(1+ 1 +( $ ln( v% /#)+' 4 *700Mishchenko:Two ways to compute!19 " 6#c 1= $ 0.01212Almost indistinguishable fromnoninteracting resultVia polarization:!charge densityq 2%(q,#)%(&q,&#)Next: Polarization…