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Coulomb interaction in graphene

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• Scal<strong>in</strong>g: "(#,T,$) = "(#(b),T(b),$(b))Conductivity of clean <strong>graphene</strong>Previously:"(b) # 0<strong>in</strong> renormalized theory• Perturbation theory <strong>in</strong> renormalized:!"(#,T,$) % " 0(#,T) + $(b)" 1(#,T) + $(b) 2 " 2(#,T) + ...!• Low-T regime: "(b*) = v# "(b*) #!1+ " 4&)(" = e24h 1+ c 1# +!(( 1+ 1 +# ln v$ /%!( ) +' 4 *t<strong>in</strong>y correction forkeep…" # 0"ln( v$ /%)Herbut, Juricic, Vafek, PRL 08Mishchenko Europhys. Lett. 08; NOT small <strong>in</strong> optical range!• What ! is the coefficient ?!c 1Calculate some diagrams…!Next: Two different results!

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