Universal collisionless transport of graphene

Abstract

The impact of the electron-electron Coulomb interaction on the optical conductivity of graphene has led to a controversy that calls into question the universality of collisionless transport in this and other Dirac materials. Using a lattice calculation that avoids divergences present in previous nodal Dirac approaches, our work settles this controversy and obtains results in quantitative agreement with experiment over a wide frequency range. We also demonstrate that dimensional regularization methods agree, as long as the scaling properties of the conductivity and the regularization of the theory in modified dimension are correctly implemented. Tight-binding lattice and nodal Dirac theory calculations are shown to coincide at low energies even when the non-zero size of the atomic orbital wave function is included, conclusively demonstrating the universality of the optical conductivity of graphene.

4+ pages,4 figures; includes Supplemental Material (18 pages, 2 figures)

References in corpus (18)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Electrodynamics of Correlated Electron Materials
• Evidence of Klein tunneling in graphene p-n junctions
• Negative local resistance caused by viscous electron backflow in graphene
• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Electron Viscosity, Current Vortices and Negative Nonlocal Resistance in Graphene
• Interaction phenomena in graphene seen through quantum capacitance
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Many-body interactions in quasi-freestanding graphene
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Hydrodynamics in graphene: Linear-response transport
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• Collision-dominated nonlinear hydrodynamics in graphene
• Interaction corrections to the polarization function of graphene
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Interaction corrections to the minimal conductivity of graphene via dimensional regularization

Cited by in corpus (21)

• Hydrodynamic approach to two-dimensional electron systems
• Interactions remove the quantization of the chiral photocurrent at Weyl points
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Many-body effects on graphene conductivity: Quantum Monte Carlo calculations
• Circular and magnetoinduced photocurrents in Weyl semimetals
• Universal linear and nonlinear electrodynamics of the Dirac fluid
• Elastic response of the electron fluid in intrinsic graphene: The collisionless regime
• Non-local hydrodynamic transport and collective excitations in Dirac fluids
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Topological phase transitions and universality in the Haldane-Hubbard model
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations
• Optical conductivity in graphene: hydrodynamic regime
• Optical signatures of shear collective modes in strongly interacting Fermi liquids
• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Field theoretic renormalization study of interaction corrections to the universal ac conductivity of graphene
• Field theoretic study of electron-electron interaction effects in Dirac liquids
• Many-body effects in nodal-line semimetals: correction to the optical conductivity
• Dynamic response functions of two-dimensional Dirac fermions with screened Coulomb and short-range interactions
• Unruh Effect and Takagi's Statistics Inversion in Strained Graphene
• Sommerfeld enhancement factor in two-dimensional Dirac materials
• Bridging the gap between numerics and experiment in free standing graphene