Holographic Quantum Critical Transport without Self-Duality

By R. Myers, S. Sachdev, A. Singh. 2010

134 citations recorded by the source corpus.

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{sub 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 particlelike or vortexlike excitations.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/22807005f62d055d333b464491844a1dbcdac115

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “However, γ1 is bounded by causality, and must satisfy −1/12 ≤ γ1 ≤ 1/12 [71, 78].”
What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, methodology): “7: Predictions [35] for the frequency-dependent conductivity σ(ω) of a CFT in 2+1 dimensions from the holographic gravity theory in Eq.”
Holographic entanglement entropy in Lovelock gravities (2011, background): “(Work which uses higher derivative gravitational theories to study unitarity constraints in CFTs includes [12-25].”
Holographic c-theorems in arbitrary dimensions (2010, background): “That such tuning is possible for AdS backgrounds was originally observed for quasitopological gravity in [15] and later in lower dimensional theories as well [32, 33, 30] – see also the discussion in [78].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, unknown): “see also [43–46].”
Holographic Quantum Matter (2016, background): “Remarkably, it can be shown, both from the bulk and also from general QFT arguments, that consistency requires [142; 381; 382; 383; 569]”