Effective medium theory for disordered two-dimensional graphene

Enrico Rossi , S. Adam , S. Das Sarma

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classification ❄️ cond-mat.mes-hall cond-mat.dis-nn

keywords theoryconductivitycoulombdiracdisorderedeffectiveeffectselectrical

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We develop an Effective Medium Theory to study the electrical transport properties of disordered graphene. The theory includes non-linear screening and exchange-correlation effects allowing us to consider experimentally relevant strengths of the Coulomb interaction. Assuming random Coulomb impurities, we calculate the electrical conductivity as a function of gate voltage describing quantitatively the full cross-over from the fluctuations dominated regime around the Dirac point to the large doping regime at high gate voltages. We find that the conductivity at the Dirac point is strongly affected by exchange correlation effects.

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Quantum critical theories in a periodic potential: strange metallic thermoelectric and magnetotransport
hep-th 2025-12 unverdicted novelty 6.0

Holographic models of quantum critical 2D systems with zero-average periodic potentials show better conductivity, bad-metal electrical but Drude-like thermal transport, and approximately B-linear magnetoresistance.