Metallic AdS/CFT

By A. Karch, A. O’Bannon. 2007

355 citations recorded by the source corpus.

We use the AdS/CFT correspondence to compute the conductivity of massive = 2 hypermultiplet fields at finite baryon number density in an = 4 SU(Nc) super-Yang-Mills theory plasma in the large Nc, large 't Hooft coupling limit. The finite baryon density provides charge carriers analogous to electrons in a metal. An external electric field then induces a finite current which we determine directly. Our result for the conductivity is good for all values of the mass, external field and density, modulo statements about the yet-incomplete phase diagram. In the appropriate limits it agrees with known results obtained from analyzing small fluctuations around equilibrium. For large mass, where we expect a good quasi-particle description, we compute the drag force on the charge carriers and find that the answer is unchanged from the zero density case. Our method easily generalizes to a wide class of systems of probe branes in various backgrounds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7f79422d3e7a4e0b6b28c5a7a586fb800277389d

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Citations in the corpus

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.”
Holographic spectral functions and diffusion constants for fundamental matter (2007, methodology): “In the limit of vanishing quark density and small external electric field, the result of [39] reduces to our formula (5.”
Pseudogap and time reversal breaking in a holographic superconductor (2008, background): “ system with a nite charge density will have an innite DC conductivity unless the momentum can leak somewhere. In the probe limit, momentum is leaked to the metric or ‘glue’ sector. See for instance [26]. 3 temperature, would cause the W-bosons to condense and hence trigger superconductivity. Specic”
Electron stars for holographic metallic criticality (2010, neutral): “ensity dynamics. A fruitful approach taken in previous works in order to explicitly model holographic charge carriers even in the presence of horizons is to add probe D branes into the bulk, see e.g. [38, 39, 40, 14]. The limitation of this approach, shared with that of probe fermions [21, 22, 23, 2”
Holographic operator mixing and quasinormal modes on the brane (2009, background): “With this regularity condition the quantity μ ≡ A0(0) is holographically identified with the chemical potential [22].”
Lectures on holographic methods for condensed matter physics (2009, background): “[96, 97], arise because the coefficient of the 1/ω term in (156) is effectively taken to zero.”
Optical conductivity with holographic lattices (2012, methodology): “Until now, the most common method to avoid this was to treat the charge carriers as probes, their momentum absorbed by the large number of neutral fields represented by the bulk geometry [8, 9, 10].”
Universal Resistivity from Holographic Massive Gravity (2013, background): “This approach underlies the probe brane [1, 2] and probe fermion [3, 4] calculations of conductivity.”
Holographic phase transitions at finite chemical potential (2007, background): “The thermal properties of Nf flavours of fundamental matter in SU(Nc) super-YangMills (SYM) have been extensively studied using this holographic framework [5, 6, 7, 8, 9].”
Flavor superconductivity from gauge/gravity duality (2009, background): “e the charge carriers cannot lose their momentum. This peak is called Drude peak. In our system, however, the charge carriers can dissipate their momentum although our system is translation invariant [56,57]. The adjoint degrees of freedom can transfer momentum at order N2 c while the – 25 – 1 2 3 4”
Effective holographic theories for low-temperature condensed matter systems (2010, methodology): “culation of the DC conductivity is much trickier in the fully backreacted Maxwell case we study here. We will calculate it assuming massive carriers and we will perform a drag-force calculation as in [21]. As we shall see the “drag” DC conductivity calculation makes an interesting prediction in the ”
Theory of universal incoherent metallic transport (2014, background): “with these questions. Incoherent metals have only very recently been found in holographic theories [66, 67]. Incoherent metallic transport is also achieved holographically through probe brane systems [68, 69], although in these cases energy as well as momentum is also strongly relaxed into a bath. I”
Towards strange metallic holography (2009, methodology): “In the relativistic case (z = 1), the nonlinearities of the conductivity in the electrical field could be elegantly understood by considering the drag force on a single string and using Lorentz invariance [13].”
Thermodynamics and instabilities of a strongly coupled anisotropic plasma (2011, background): “Previous holographic studies of anisotropic plasmas include solutions dual to non-commutative SYM theories at finite temperature [10, 11, 12, 13, 14], gravity duals of p-wave superconductors[15, 16, 17, 18, 19, 20, 21], solutions dual to N = 4 SYM theory coupled to electromagnetic fields with [22, 2”