General relativity and the cuprates

By G. Horowitz, Jorge E Santos. 2013

151 citations recorded by the source corpus.

A bstractWe add a periodic potential to the simplest gravitational model of a superconductor and compute the optical conductivity. In addition to a superfluid component, we find a normal component that has Drude behavior at low frequency followed by a power law fall-off. Both the exponent and coefficient of the power law are temperature independent and agree with earlier results computed above Tc. These results are in striking agreement with measurements on some cuprates. We also find a gap Δ = 4.0 Tc, a rapidly decreasing scattering rate, and “missing spectral weight” at low frequency, all of which also agree with experiments.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d9d773cc8c762e46edc5f8386d37b5001edd047c

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Citations in the corpus

Thermoelectric DC conductivities from black hole horizons (2014, background): “This is a significant technical simplification since the black holes can be constructed by solving ODEs instead of PDEs as in the constructions [15, 18–22].”
Universal Resistivity from Holographic Massive Gravity (2013, background): “This can be done perturbatively, viewing the lattice as an irrelevant operator from the IR perspective [5], or more directly by computing charge transport in the background of a spatially modulated bulk [6, 7, 8, 9] or in the presence of impurities [10, 11].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, unknown): “This can be achieved by considering “holographic lattice” black holes where one explicitly breaks the translation invariance using UV deformations [4–13].”
Numerical methods for finding stationary gravitational solutions (2015, methodology): “a lower-order grid that covers the regions that are less smooth [234, 236, 238, 247, 248, 253, 256].”
Introduction to holographic superconductor models (2015, background): “This is a rapidly devolving field, due to the limitation of length, we are not able to give more details for many interesting developments, such as introduction of momentum dissipation (to break translational symmetry) [164, 165, 166, 167, 168, 169, 170, 171, 172], construction of holographic Joseph”
Holographic Quantum Matter (2016, background): “An example of this long timescale, which leads to an exponentially large dc conductivity in (512), was found numerically in the holographic computations of [390], for the normal component of the conductivity in the superconducting phase.”
Holographic Q-lattices (2013, background): “where B,C are frequency independent constants, and furthermore, the same behaviour was also seen for other lattices and other spacetime dimensions in [2, 3, 5].”