Towards strange metallic holography

By S. Hartnoll, J. Polchinski, E. Silverstein, David Tong. 2009

497 citations recorded by the source corpus.

We initiate a holographic model building approach to `strange metallic' phenomenology. Our model couples a neutral Lifshitz-invariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by D-branes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the non-Fermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group ow in Lifshitz theories, such as the appearance of relevant charge-charge interactions when z ≥ 2. We outline a program to extend this model building approach to other anomalous observables of interest such as the Hall conductivity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dbb5ad7fb2883c62ad7edfd8658c0dc0e4f56364

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Citations in the corpus

Holographic Quantum Matter (2016, background): “Precisely this scenario is realized in Einstein-Maxwell theory, whenever the criterion (363) for instability is satisfied [352; 360].”
Holography of dyonic dilaton black branes (2010, background): “String embeddings of Lifshitz solutions have been described in [17, 47, 48], and simple generalisations of those ideas may well suffice to capture our geometries as well (since the near-horizon physics is governed by a Lifshitz-like metric).”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “The characteristic dissipation rate in this state is Γ ∼ T 2/μ, and may be read off from the coherent peak observed in the non-zero temperature optical conductivity [58].”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “String theory and supergravity embeddings have been found in [47]-[55].”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, background): “Or to allow for a bulk Fermi sea in the nearhorizon region and incorporate the changes this leads to [25], [39], [40] (35).”
Universal diffusion in incoherent black holes (2016, background): “They correspond to the well-studied class of metrics known as hyperscaling violating geometries [27–32].”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “stems e.g.[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] with a view towards condensed matter physics are promising. In this paper, we discuss Lifshitz ﬁxed points from a holographic point of view: see e.g. [13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28], for related work on systems with L”
A simple holographic model of momentum relaxation (2013, background): “Momentum relaxation has also been investigated in holography by making use of neutral matter which acts as a large reservoir into which momentum can be dissipated by charge carriers which are treated in the probe approximation [9, 10, 11].”
Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, result): “A very similar behavior has been already obtained in [29,33] from the probe analysis of D-branes in AdS black holes.”
What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, result): “In the non-superfluid state, some studies [82–86] have accounted for the back reaction of fermions in the Thomas-Fermi approximation, where the fermion density at a given u is a function only of the local chemical potential.”
Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality (2012, background): “Meanwhile, completely different models of fermi-surfaces in holographic QFTs have been concocted [389].”
Semi-local quantum liquids (2011, background): “We provide examples in which a lower energy phase is given by a Fermi liquid of “heavy fermions,” based on an earlier observation [10] on fermionic”
Aspects of holography for theories with hyperscaling violation (2012, background): “1 Such metrics have also been found as solutions in string theory, and supergravities which arise simply from string constructions, in [11–18].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “Much recent work [1–40] has focused on the holographic description of compressible metallic states of quantum matter.”
Semi-holographic Fermi liquids (2010, background): “Thus the density-squared perturbation is relevant for z > 2 [10] (the marginal case z = 2 is left for the reader).”
Universal Resistivity from Holographic Massive Gravity (2013, background): “This approach underlies the probe brane [1, 2] and probe fermion [3, 4] calculations of conductivity.”