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General Relativity and the Cuprates
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abstract
We 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 $T_c$. These results are in striking agreement with measurements on some cuprates. We also find a gap $\Delta = 4.0\ T_c$, a rapidly decreasing scattering rate, and "missing spectral weight" at low frequency, all of which also agree with experiments.
Forward citations
Cited by 3 Pith papers
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Thermodynamics and DC conductivity of 2D anisotropic fluids from axion holography
An anisotropic, single-axion holographic fluid is thermodynamically stable for all studied anisotropy and charge, with DC conductivity that vanishes at large anisotropy and passes through a metal-insulator transition.
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Holographic striped superconductor with ionic lattice
In a holographic model, a stronger ionic lattice suppresses the charge density wave phase, enhances the superconducting phase, and makes their coexisting striped superconducting state the most stable.
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AC charge transport in holographic Horndeski gravity
A holographic Horndeski model is found to exhibit a temperature-driven metal-semiconductor crossover, with AC conductivity that fits the Drude formula in the slow-relaxation regime.
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