Holographic duality and the resistivity of strange metals

By R. Davison, K. Schalm, J. Zaanen. 2013

230 citations recorded by the source corpus.

Department of Physics, Harvard University, Cambridge MA 02138, USA(Dated: December 16, 2013)We present a strange metal, described by a holographic duality, which reproduces the famouslinear resistivity of the normal state of the copper oxides, in addition to the linear speciﬁc heat.This holographic metal reveals a simple and general mechanism for producing such a resistivity,which requires only quenched disorder and a strongly interacting quantum critical state. The key isthe minimal viscosity of the latter: unlike in a Fermi-liquid, the viscosity is very small and thereforeis important for the electrical transport. This mechanism produces a resistivity proportional to theelectronic entropy.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/607873d6de94d254af642fd0f0ec276ce238525f

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Universal Resistivity from Holographic Massive Gravity (2013, methodology): “After this paper appeared, this system was subsequently explored in more detail in [32].”
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].”
Transport in inhomogeneous quantum critical fluids and in the Dirac fluid in graphene (2015, methodology): “Similar results were presented (in a different format) in [29], though the practical consequences of this formula, as discussed in the main text, have not previously been understood.”
Introduction to holographic superconductor models (2015, methodology): “In addition to holographic superconductors, the holographic approach has been used to understand some other aspects of condensed matter physics, including (non)Fermi liquids [206, 207, 208, 209, 210], quantum Hall effect [211, 212, 213], strange metals [214, 215, 216, 217], topological insulators [2”
Thermoelectric DC conductivities from black hole horizons (2014, result): “Similar results were obtained in [7, 8], using a different approach based on massive gravity, extending [9–11].”
Charge transport in holography with momentum dissipation (2014, methodology): “Such a first step was taken in [15] where a linear temperature dependence of the resistivity was obtained, by coupling the massive gravity sector to a neutral scalar and thus generating a specific semi-locally critical(1) IR (also with a linear specific heat).”
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].”
Solid holography and massive gravity (2015, background): “In [26], the same effect has been seen for a more complicated dilatonic model.”
Theory of universal incoherent metallic transport (2014, background): “It also occurs in certain holographic systems with dynamical critical exponent z =∞ [27].”
Dissecting holographic conductivities (2015, background): “Another question is the sensitivity of our results to the choice of momentum relaxation mechanism: would they be modified if we had instead used random-field disorder [3, 4, 22, 37–39], or homogeneous [19, 40, 41] or inhomogeneous lattices [20, 32, 42] to break translational invariance? Furthermore,”
Holographic Quantum Matter (2016, background): “See for instance (307) above for the AdS-RN case (in some interesting cases there are cancellations such that dνk/dk ∼ k(3), as in for instance [175], in such cases k(4) ? ∼ 1/ log 1 T ).”
Holographic metals and insulators with helical symmetry (2014, methodology): “Note that as seen in other semi-locally critical setups, a linear resistivity implies a linear heat-capacity/entropy [36].”
Electron viscosity, current vortices and negative nonlocal resistance in graphene (2015, background): “Refs.”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, methodology): “The DC conductivities of the two charges have been investigated in holographic systems of this type [11, 15, 17–27] but, as we have demonstrated, this is not sufficient to infer the nature (i.”