The superconducting dome for holographic doped Mott insulator with hyperscaling violation

Abstract

We reconsider the holographic model featuring a superconducting dome on the temperature-doping phase diagram with a modified view on the role of the two charges. The first type charge with density ${\rho }_A$ make the Mott insulator, and the second one with ${\rho }_B$ is the extra charge by doping, so that the complex scalar describing the cooper pair condensation couples only with the second charge. We point out that the key role in creating the dome is played by the three point interaction $-c{\chi }^2{F}_{\mu \nu }{G}^{\mu \nu }$. The $Tc$ increases with their coupling. We also consider the effect of the quantum critical point hidden under the dome using the geometry of hyperscaling violation. Our results show that the dome size and optimal temperature increase with $z$ whatever is $\theta$, while we get bigger $\theta$ for larger (smaller) dome depending on $z>2$ ($z<2$). We also point out that the condensate increases for bigger value of $\theta$ but for smaller value of $z$.

14 pages, 25 figures

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Cited by in corpus (5)

• Holographic superfluid with gauge-axion coupling
• Alternating current conductivity and superconducting properties of the holographic effective theory
• Doped Holographic Superconductors in Gubser-Rocha model
• Excited states of holographic superconductors with hyperscaling violation
• The commensurate state and lock-in in a holographic model