Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor

Wang, Dong; Sun, Manman; Pan, Qiyuan; Jing, Jiliang

doi:10.1016/j.physletb.2018.08.069

Cited by 9 publications

(6 citation statements)

References 82 publications

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“…The variation method for the Sturm-Liouville (S-L) eigenvalue problem, which was firstly proposed by Siopsis et al [39,40] to analytically study the critical phenomenon in holographic superconductor model, is generalized to the studies of various holographic models and proved to be an effective approach, see Refs. [10,14,15,29,33,[41][42][43][44]. The analytical results obtained from the S-L method are in great agreement with the numerical findings.…”

Section: Introductionsupporting

confidence: 69%

Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity

Lai

Pan

et al. 2020

Eur. Phys. J. C

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In Gauss-Bonnet gravity, we analytically investigate the p-wave superfluid models in five dimensional AdS soliton and AdS black hole in order to explore the influences of the higher curvature correction on the holographic superfluid phase transition. We observe that the analytical findings are in good agreement with the numerical computations. Our results show that the critical chemical potential of the system increases with the increase of the Gauss-Bonnet parameter in AdS soliton background, while the critical temperature decreases as the Gauss-Bonnet factor grows if the phase transition of the system is of the second order in AdS black hole background, both of which indicate that the higher curvature correction hinders the formation of the condensation of the vector operator. Moreover, the critical exponent of the system takes the mean-field value 1/2, which is independent of the Gauss-Bonnet parameter and the spatial component of the gauge field.

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Section: Introductionsupporting

confidence: 69%

Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity

Lai

Pan

et al. 2020

Eur. Phys. J. C

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“…Thus, as discussed in Refs. [18,29,30], we have to impose an additional Neumann boundary condition F ′ (0) = 0 for the operator O 1 but need not impose any restrictions on F ′ (z) for the operator O 2 .…”

Section: A Critical Chemical Potentialmentioning

confidence: 99%

“…The aforementioned works on the holographic superconductors only focus on the ground state, which is the first state to condense [18]. More recently, Wang et al constructed the novel numerical solutions of the holographic s-wave superconductors with the excited states in the probe limit where the backreaction of matter fields on the spacetime metric is neglected [19], and illustrated that the excited states of the holographic superconductors could be related to the metastable states of the mesoscopic superconductors [20,21].…”

Section: Introductionmentioning

confidence: 99%

An analytic study on the excited states of holographic superconductors

Qiao,

Wang,

OuYang

et al. 2020

Preprint

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Based on the Sturm-Liouville eigenvalue problem, we develop a general analytic technique to investigate the excited states of the holographic superconductors. By including more higher order terms in the expansion of the trial function, we observe that the analytic results agree well with the numeric data, which indicates that the Sturm-Liouville method is very powerful to study the holographic superconductors even if we consider the excited states. For both the holographic s-wave and p-wave models, we find that the excited state has a lower critical temperature than the corresponding ground state and the difference of the critical chemical potential between the consecutive states is around 5. Moreover, we analytically confirm that the holographic superconductor phase transition with the excited states belongs to the second order, which can be used to back up the numerical findings in both s-wave and p-wave superconductors.

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“…In this section, we impose the boundary condition ψ − = 0 and concentrate on the condensate for the operator O + . Just as in the standard holographic superconductors [7], we first investigate the ground state, which is the first state to condense [65]. In Fig.…”

Section: Condensates Of the Scalar Fieldmentioning

confidence: 99%

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

Pan,

Qiao,

Wang

et al. 2021

Preprint

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We construct the holographic superconductors away from the probe limit in the consistent D → 4 Einstein-Gauss-Bonnet gravity. We observe that, both for the ground state and excited states, the critical temperature first decreases then increases as the curvature correction tends towards the Chern-Simons limit in a backreaction dependent fashion. However, the decrease of the backreaction, the increase of the scalar mass, or the increase of the number of nodes will weaken this subtle effect of the curvature correction. Moreover, for the curvature correction approaching the Chern-Simons limit, we find that the gap frequency ωg/Tc of the conductivity decreases first and then increases when the backreaction increases in a scalar mass dependent fashion, which is different from the finding in the (3 + 1)-dimensional superconductors that increasing backreaction increases ωg/Tc in the full parameter space. The combination of the Gauss-Bonnet gravity and backreaction provides richer physics in the scalar condensates and conductivity in the (2+1)-dimensional superconductors.

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Backreacting holographic superconductors from the coupling of a scalar field to the Einstein tensor

Cited by 9 publications

References 82 publications

Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity

Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity

An analytic study on the excited states of holographic superconductors

Holographic superconductors in 4D Einstein-Gauss-Bonnet gravity with backreactions

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