Coulomb interaction in graphene

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• Two regimesF(T,",µ) = b #2!– Fermi liquid ( µ >> T )Metallic ! C " #TFree energy & specific heatC = "T # 2 F#T 2TT(b) F(T(b),"(b),µ(b))n" #%v 1+ $ 4 ln n (0' *& n )electron orhole F.S.• Scal<strong>in</strong>g:Vafek PRL 07!– Dirac ! liquid ( µ
Phase diagram: Crossover behaviorC " T 2log 2 T!C " !T• ashed l<strong>in</strong>e: Crossover between two regimesNext: Transparency
Page 2: Outline• Graphene: One-atom thick
Page 5 and 6: !Free fermions on the honeycomb lat
Page 7 and 8: H =% †p,iDimensional analysis" +
Page 9 and 10: Prescription:2) Rescale momenta & f
Page 11 and 12: • Graphene: critical point at!Ren
Page 13: Recent compressibility dataJ. Marti
Page 17 and 18: Optical transparency of graphene•
Page 19 and 20: • Scaling: "(#,T,$) = "(#(b),T(b)
Page 21 and 22: Polarization approach"(#) = Lim q $
Page 23 and 24: Continuity:Ward Identity and conser
Page 25: Concluding remarks• Graphene: Dir

Coulomb interaction in graphene

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