Holography of the Dirac Fluid in Graphene with two currents

Abstract

Recent experiments have uncovered evidence of the strongly coupled nature of the graphene: the Wiedemann-Franz law is violated by up to a factor of 20 near the charge neutral point. We describe this strongly-coupled plasma by a holographic model in which there are two distinct conserved U(1) currents. We find that our analytic results for the transport coefficients for two current model have a significantly improved match to the density dependence of the experimental data than the models with only one current. The additive structure in the transports coefficients plays an important role. We also suggest the origin of the two currents.

5 pages, 2 figures: The version to appear in PRL

References in corpus (12)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Room-Temperature Superfluidity in Graphene Bilayers
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Quantum critical transport in clean graphene
• Slow imbalance relaxation and thermoelectric transport in graphene
• Thermoelectric DC conductivities from black hole horizons
• Quantum-critical relativistic magnetotransport in graphene
• Quantum Critical Transport and the Hall Angle
• The thermoelectric properties of inhomogeneous holographic lattices
• Holographic Metals and Insulators with Helical Symmetry
• Collective cyclotron motion of the relativistic plasma in graphene
• Coherent/incoherent metal transition in a holographic model

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• Ginzberg-Landau-Wilson theory for Flat band, Fermi-arc and surface states of strongly correlated systems
• The superconducting dome for holographic doped Mott insulator with hyperscaling violation
• Transport properties in the Horndeski holographic two-currents model
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
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• Reduced quantum electrodynamics in curved space
• Conductivity bound of the strongly interacting and disordered graphene from gauge/gravity duality
• Doped Holographic Superconductors in Gubser-Rocha model
• Anomalous Hall conductivity of the holographic ${\mathbb{Z}}_2$ Dirac semimetals
• Holograhic two-currents model with coupling and its conductivites
• Impurity-Driven Metal-Insulator Transitions in Holography
• Determination of Dynamical exponents of Graphene at quantum critical point by holography
• Mean field theory for strongly coupled systems: Holographic approach
• Comparison between renormalization group derived emergent dual holography and string theory based holographic duality
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
• The magnetic effect on strongly correlated system with two currents near the QCP from holography
• Born-Infeld corrections to holographic transport coefficients with spatially modulated chemical potential
• Impurity Effect on Hysteric Magnetoconductance: Holographic Approach