Holographic charge transport in 2+1 dimensions at finite $N$

Abstract

We study holographic charge transport in (2+1) dimensions at finite $N$, whose dual gravity background is given by perturbative black hole solution in Einstein theory plus cubic terms of Weyl tensor. We consider the higher derivative corrections to the standard Maxwell action, given by the interacting terms between the Weyl tensor and the field strength. We calculate the DC conductivity by using both the membrane paradigm and the Kubo's formula and find precise agreement. We compute the AC conductivity and find an analog of the crossover from `metal' to `bad metal' in the low frequency limit. Moreover, the conductivity becomes a constant in the large frequency limit. We derive two universal relations for the Green's functions and observe that they are exactly the same as the infinite $N$ counterparts.

31 pages, 5 figures, minor corrections, accepted by IJMPA

References in corpus (11)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Lectures on Holographic Superfluidity and Superconductivity
• Conformal collider physics: Energy and charge correlations
• Viscosity Bound and Causality Violation
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Quantum critical transport, duality, and M-theory
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• Metal-insulator transition in holography
• The quasi-normal modes of quantum criticality
• Quantum critical charge response from higher derivatives: is more different?

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• A Holographic Model for Quantum Critical Responses
• Taking a critical look at holographic critical matter
• Transport phenomena and Weyl correction in effective holographic theory of momentum dissipation
• Momentum dissipation and holographic transport without self-duality
• Holographic fermionic spectrum with Weyl correction
• EM duality and Quasi-normal modes from higher derivatives with homogeneous disorder