Universal Resistivity from Holographic Massive Gravity

By Mike Blake, David Tong. 2013

283 citations recorded by the source corpus.

Massive gravity provides a holographic model for theories exhibiting mo- mentum dissipation. We provide an analytic expression for the DC conductivity. The result is universal, depending only on properties of the infra-red horizon, and holds at nite temperature and charge density. In addition, we provide a derivation of black hole thermodynamics in holographic massive gravity and show that the resulting physics is sensible.

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

View Paper: https://www.semanticscholar.org/paper/e1c1e9f5b5d87931d8d42866680bb327dcdf2573

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Holographic metals and insulators with helical symmetry (2014, background): “The massive graviton approach was extended in [24, 25, 26] and provided for a formula for the DC conductivity in the context of massive gravity.”
Dissecting holographic conductivities (2015, background): “In [5, 15, 17–19], it was suggested that σDC could be interpreted as being composed of two physically distinct pieces: a coherent contribution μ2/m2 due to momentum relaxation, and an incoherent contribution 1 (see [24, 25] for further related work on the frequency dependence of the thermoelectric c”
The thermoelectric properties of inhomogeneous holographic lattices (2014, methodology): “For other work on the electric DC conductivity for various holographic black holes and using different approaches, see [11, 15–22].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, result): “Including a constant background magnetic field would also help bridge the results of [2, 17, 82, 83].”
Thermodynamics of Black Holes in Massive Gravity (2014, background): “Some holographic consequence of the effect of graviton mass in massive gravity has been investigated in [21, 22, 23].”
Novel metals and insulators from holography (2014, result): “This complements similar results for specific models in a translationally invariant context [36] and in the context of momentum dissipation [12, 25, 37].”
Momentum relaxation in holographic massive gravity (2013, unknown): “study ﬂuctuations of the bulk ﬁelds gµν and Aµ around the background (6), which is translationally invariant 1Note added: A more careful study of the thermodynamics has subsequently been performed in [36]. 6 in the (t,x,y) directions. It is simplest to work in Fourier space and thus we write gµν (r)”
A simple holographic model of momentum relaxation (2013, methodology): “Our equations of motion have exactly the same structure as those in [15], so the proof of σ(r)DC = 0 is almost identical to the one found in that reference.”
Thermoelectric DC conductivities from black hole horizons (2014, background): “The second paper, [36], calculates the thermoelectric response in the context of massive gravity, developing the work of [9, 10].”
Charge transport in holography with momentum dissipation (2014, methodology): “This is confirmed by explicit numerical calculations of the real part of the optical conductivity for AdS2 solutions in [13, 17].”
Holographic Quantum Matter (2016, methodology): “In particular, in a simple Einstein-Maxwell model with massive gravity [105] or axions [41], one finds the dc conductivity (581) with Z+ = Y+ = 1, which we readily see saturates (596) either when m → ∞ or ρ → 0.”