Generalized holographic quantum criticality at finite density

By Blaise Goutéraux, E. Kiritsis. 2011

375 citations recorded by the source corpus.

A bstractWe show that the near-extremal solutions of Einstein-Maxwell-Dilaton theories, studied in [4], provide IR quantum critical geometries, by embedding classes of them in higher-dimensional AdS and Lifshitz solutions. This explains the scaling of their thermodynamic functions and their IR transport coefficients, the nature of their spectra, the Gubser bound, and regulates their singularities. We propose that these are the most general quantum critical IR asymptotics at finite density of EMD theories.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7833129ac5a61bdc226b8b9a2f1569d6d79bd47d

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Citations in the corpus

Lifshitz scaling and hyperscaling violation in string theory (2012, background): “These are of the general form of the effective actions studied in [20, 21, 22, 23, 24, 25, 26, 27].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “We also find interesting inequalities for the values of z and ✓ for a wide class of models with holographic duals, generalizing analogous relations obtained earlier [13, 14, 25, 40].”
Aspects of holography for theories with hyperscaling violation (2012, background): “Such metrics have also been found as solutions in string theory, and supergravities which arise simply from string constructions, in [9].”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, methodology): “2), which has been analyzed in the past, [1, 5].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “1) can easily be generalised to allow for IR geometries with other values of the dynamical exponent z and hyperscaling violating exponent θ [21, 41, 42].”
Charged black branes with hyperscaling violating factor (2012, background): “More precisely, while in (d+ 1)-dimensional theories without hyperscaling, the entropy scales as T d/z with temperature in the present case where the metric exhibits hyperscaling, it scales as T (d−θ)/z [23, 24].”
Spatially modulated instabilities of magnetic black branes (2011, background): “Particular examples of these models have been considered in the context of AdS/CMT from a different point of view in [28, 29, 30].”
Universal diffusion in incoherent black holes (2016, background): “They correspond to the well-studied class of metrics known as hyperscaling violating geometries [27–32].”
Charge transport in holography with momentum dissipation (2014, methodology): “It would be interesting to explore if such a condition can be understood in terms of generalized dimensional reductions [4, 23, 30].”
Introduction to holographic superconductor models (2015, background): “From a modern perspective, the correspondence is an equality between a quantum field theory (QFT) in d dimensional spacetime and a (4)The simple examples are Lifshitz symmetry [33] and Schrödinger symmetry [34, 35], while more generic cases are those with generalized Lifshitz invariance and hypersca”
Holographic metals and insulators with helical symmetry (2014, methodology): “More interestingly, at finite density a large class of systems were found,(3) [12], that has a gapped spectrum for the current correlator.”
Lifshitz holography (2015, methodology): “Along these lines, classes of Einstein-Maxwell-Dilaton solutions were embedded in higher-dimensional AdS and Lifshitz backgrounds in [109], explaining their hydrodynamic properties.”