Quantum critical charge response from higher derivatives: is more different?

Abstract

We present new possibilities for the charge response in the quantum critical regime in 2+1D using holography, and compare them with field theory and recent quantum Monte Carlo results. We show that a family of (infinitely many) higher derivative terms in the gravitational bulk leads to behavior far richer than what was previously obtained. For example, we prove that the conductivity becomes unbounded, undermining previously obtained constraints. We further find a non-trivial and infinite set of theories that have a self-dual conductivity. Particle-vortex or S duality plays a key role; notably, it maps theories with a finite number of bulk terms to ones with an infinite number. Many properties such as sum rules and stability conditions are proved.

5+13 pages, 4+7 figs. Main text double column. 7 (detailed) appendices. v2: New fig in main text, new appendix and references, typos corrected, more detailed discussion of asymptotics

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• Holographic superconductor with momentum relaxation and Weyl correction
• Constraining quantum critical dynamics: 2+1D Ising model and beyond
• Weyl corrections to diffusion and chaos in holography
• Holographic superconductivity from higher derivative theory
• Quantum critical response: from conformal perturbation theory to holography
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• Holographic charge transport in 2+1 dimensions at finite $N$
• Holographic response from higher derivatives with homogeneous disorder
• A Holographic Model for Quantum Critical Responses
• Taking a critical look at holographic critical matter
• Holographic quantum critical conductivity from higher derivative electrodynamics
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
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• Holographic superfluid with gauge-axion coupling
• Demystifying the Holographic Mystique
• Alternating current conductivity and superconducting properties of the holographic effective theory
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• Holograhic two-currents model with coupling and its conductivites
• Momentum dissipation and holographic transport without self-duality
• Higher derivatives driven symmetry breaking in holographic superconductors
• Analytical study of the holographic superconductor from higher derivative theory
• Holographic fermionic spectrum with Weyl correction
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