Universal conductivity of graphene in the ultra-relativistic regime

Abstract

We calculate the optical (cutoff >> frequency >> temperature) conductivity in clean graphene in the ultimate low-energy regime, when retardation effects of the electromagnetic interaction become important and when the full Lorentz symmetry emerges. In contrast to what happens with the short range or with the Coulomb long-range instantaneous interactions, the optical conductivity is now no longer equal to its non interacting value, but acquires universal corrections in powers of the fine structure constant. The coefficient of the first order correction is computed, and found to be of order one. We also present the result for the conductivity in the large-N limit, with $N$ as the number of Dirac fermions species, to the order $1/N^2$.

6 revtex pages; minor modifications, typos corrected, references added, published version

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• Anisotropic AC conductivity of strained graphene
• Conserved current correlators of conformal field theories in 2+1 dimensions
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations
• Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field
• Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene
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• Field theoretic study of electron-electron interaction effects in Dirac liquids
• High thermoelectric performance in excitonic bilayer graphene
• Critical properties of three-dimensional many-flavour QEDs
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation
• Universality, exponents and anomaly cancellation in disordered Dirac fermions