Holographic Quantum Critical Transport without Self-Duality

Abstract

We describe general features of frequency-dependent charge transport near strongly interacting quantum critical points in 2+1 dimensions. The simplest description using the AdS/CFT correspondence leads to a self-dual Einstein-Maxwell theory on AdS_4, which fixes the conductivity at a frequency-independent self-dual value. We describe the general structure of higher-derivative corrections to the Einstein-Maxwell theory, and compute their implications for the frequency dependence of the quantum-critical conductivity. We show that physical consistency conditions on the higher-derivative terms allow only a limited frequency dependence in the conductivity. The frequency dependence is amenable to a physical interpretation using transport of either particle-like or vortex-like excitations.

42 pages, 7 figures. A new figure showing the frequency dependence of EM dual conductivity and few references added. Abstract, introduction, section 5 and discussion extended. To appear in Phys.Rev.D

References in corpus (24)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Measurement of the Optical Conductivity of Graphene
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Causality, Analyticity and an IR Obstruction to UV Completion
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Lectures on Holographic Superfluidity and Superconductivity
• Conformal collider physics: Energy and charge correlations
• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Holographic c-theorems in arbitrary dimensions
• Viscosity Bound and Causality Violation
• The String Landscape and the Swampland
• Seeing a c-theorem with holography
• Quantum critical transport, duality, and M-theory
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Holographic spectral functions and diffusion constants for fundamental matter
• Quantum-critical relativistic magnetotransport in graphene
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Shear Viscosity from Effective Couplings of Gravitons
• Transport Properties of Holographic Defects
• Energy Flux Positivity and Unitarity in CFTs
• Non-linear, Finite Frequency Quantum Critical Transport from AdS/CFT
• Graphene - a nearly perfect fluid

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