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arXiv · 1710.07971

Holographic superconductivity from higher derivative theory

Jian-Pin Wu·Peng Liu
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Abstract

We construct a $6$ derivative holographic superconductor model in the $4$-dimensional bulk spacetimes, in which the normal state describes a quantum critical (QC) phase. The phase diagram $(γ_1,\hat{T}_c)$ and the condensation as the function of temperature are worked out numerically. We observe that with the decrease of the coupling parameter $γ_1$, the critical temperature $\hat{T}_c$ decreases and the formation of charged scalar hair becomes harder. We also calculate the optical conductivity. An appealing characteristic is a wider extension of the superconducting energy gap, comparing with that of $4$ derivative theory. It is expected that this phenomena can be observed in the real materials of high temperature superconductor. Also the Homes' law in our present models with $4$ and $6$ derivative corrections is explored. We find that in certain range of parameters $γ$ and $γ_1$, the experimentally measured value of the universal constant $C$ in Homes' law can be obtained.

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Jian-Pin Wu, Peng Liu. 2017-10-22. Holographic superconductivity from higher derivative theory. https://doi.org/10.1016/j.physletb.2017.10.017

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