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Coulomb interaction in graphene

Coulomb interaction in graphene

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Optical transparency: Best hope for observ<strong>in</strong>g <strong>Coulomb</strong>…• High frequency: Coupl<strong>in</strong>g&)(" = e24h 1+ c 1# +(1+ 1 +( # ln( v$ /%)+' 4 *!"(#)close to bare value!" # 2.2• Unfortunately:c 1" 0.0125Probably not observable!!Mishchenko : Europhys. Lett. 08!• Kubo formula: Sum of divergent diagrams depends on regularization• Restrict momenta <strong>in</strong> Green functionsViolates charge conservation• Restrict transferred momenta <strong>Coulomb</strong>• Modify <strong>Coulomb</strong>e 2r " e2r 1#$withObeys conservation" # 0 Obeys conservationPhys. Rev. B 80, 193411 (2009)!!Next: Conclud<strong>in</strong>g Remarks

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