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Holographic p-Wave Superconductor with Excited States in 4D Einstein–Gauss–Bonnet Gravity

by Dong Wang, Xinyi Du, Qiyuan Pan and Jiliang Jing

Universe 2023, 9(2), 104; https://doi.org/10.3390/universe9020104 - 17 Feb 2023

Cited by 1 | Viewed by 2182

We construct a holographic p-wave superconductor with excited states in the 4D Einstein–Gauss–Bonnet gravity using the Maxwell complex vector field model. In the probe limit, we observe that, the higher curvature correction or the higher excited state can hinder the vector condensate to be formed in the full parameter space, which is different from the holographic s-wave superconductor. Regardless of the choice of the vector mass by selecting the value of

m^{2} L^{2}

m^{2} L_{eff}^{2}

, we note that the critical chemical potential becomes evenly spaced for the number of nodes and that the difference of the critical chemical potential between the consecutive states depends on the curvature correction. Moreover, we find that the higher curvature correction or the higher excited state will alter the universal relation of the gap frequency, and the pole and delta function of the conductivity for the excited states can be broadened into the peaks with the finite width as the curvature correction increases. Full article

(This article belongs to the Special Issue Black Holes in Einstein–Gauss–Bonnet Theories)

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13 pages, 919 KiB

Open AccessArticle

(Un)balanced Holographic Superconductors with Electric and Spin Motive Force Coupling

by Nathália P. Aprile, Betti Hartmann and Jutta Kunz

Universe 2022, 8(2), 107; https://doi.org/10.3390/universe8020107 - 8 Feb 2022

Viewed by 1755

Abstract

We study holographic phase transitions in (2+1) dimensions that possess interacting phases which result from a direct coupling between the two U(1) gauge fields. This can be interpreted as a non-minimal interaction between the electric and spin motive forces of the dual model. We first present a new analytical solution of the Einstein-Maxwell equations that describes a black hole with charge non-equivalent to the sum of the asymptotic charges of the two U(1) gauge fields and briefly discuss formation of uncharged scalar hair on this solution. We then study the formation of charged scalar hair on an uncharged black hole background and discuss the dual description of balanced as well as unbalanced superconductors. Full article

(This article belongs to the Collection Women Physicists in Astrophysics, Cosmology and Particle Physics)

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