Analytical study on holographic superfluid in AdS soliton background

Lai, Chuyu; Pan, Qiyuan; Jing, Jiliang; Yong-Jiu, Wang

doi:10.1016/j.physletb.2016.03.063

Cited by 20 publications

(26 citation statements)

References 55 publications

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“…For the given α and m, one finds that the critical chemical potential becomes more significant with increasing k. This is in good agreement with the findings in Ref. [40] and indicates that the spatial component of the gauge field hinders the superfluid phase transition. Now, we move on to discuss the critical phenomena of the holographic p-wave system.…”

Section: A Analytical Approach By the Sturm-liouville Methodssupporting

confidence: 91%

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Holographic p-wave superfluid in the AdS soliton background with RF2 corrections

Qiao

Wang

et al. 2020

Physics Letters B

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We investigate the holographic p-wave superfluid in the background metric of the AdS soliton with RF 2 corrections. Two models, namely, the Maxwell complex vector field model and Yang-Mills theory, are studied in the above context by employing the Sturm-Liouville approach as well as the shooting method. When turning on the spatial components of the gauge field, one observes that, in the probe limit, the inclusion of RF 2 corrections hinders the superfluid phase transition. On the other hand, however, in the absence of the superfluid velocity, it is found that the RF 2 corrections lead to distinct effects for the two models. Regardless of either the RF 2 correction or the spatial component of the gauge field, the phase transition of the system is observed to be always of the second order. Moreover, a linear relationship between the charge density and chemical potential is largely established near the critical point in both holographic superfluid models.

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Section: A Analytical Approach By the Sturm-liouville Methodssupporting

confidence: 91%

“…This implies that a nonvanishing spatial component of the gauge field makes the vector condensate harder to form [40].…”

Section: A Analytical Approach By the Sturm-liouville Methodsmentioning

confidence: 99%

Holographic p-wave superfluid in the AdS soliton background with RF2 corrections

Qiao

Wang

et al. 2020

Physics Letters B

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“…In Sec. 2 we give the set up of the new p-wave model [30,31,32,33,34,35,36,37] and introduce the ansatz for the p-wave and p+ip phases. In Sec.…”

Section: Introductionmentioning

confidence: 99%

Split degenerate states and stable p $$+i$$ + i p phases from holography

et al. 2017

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In this paper, we investigate the p+ip superfluid phases in the complex vector field holographic p-wave model. We find that in the probe limit, the p+ip phase and the p-wave phase are equally stable, hence the p and ip orders can be mixed with an arbitrary ratio to form more general p+λip phases, which are also equally stable with the p-wave and p+ip phases. As a result, the system possesses a degenerate thermal state in the superfluid region. We further study the case on considering the back-reaction on the metric, and we find that the degenerate ground states will be separated into pwave and p+ip phases, and the p-wave phase is more stable. Finally, due to the different critical temperature of the zeroth order phase transitions from p-wave and p+ip phases to the normal phase, there is a temperature region where the p+ip phase exists but the p-wave phase does not. In this region we find the stable holographic p+ip phase for the first time.

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“…the s-wave superconductor in a model with no dark matter sector [53]. Moreover, the existence of the condensate ψ 2 = 0 couples otherwise independent components of the gauge field A t (r) and A φ (r).…”

Section: Jhep10(2016)152mentioning

confidence: 99%

“…Both rely on the Sturm-Liouville variational method [90]. In the first one, used in [53], one introduces a dimensionless parameter 24) and rewrites the relation (2.22) as…”

Section: Jhep10(2016)152mentioning

confidence: 99%

Condensate flow in holographic models in the presence of dark matter

Rogatko

Wysokiński

2016

J. High Energ. Phys.

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Holographic model of a three-dimensional current carrying superconductor or superfluid with dark matter sector described by the additional U(1)-gauge field coupled to the ordinary Maxwell one, has been studied in the probe limit. We investigated analytically by the Sturm-Liouville variational method, the holographic s-wave and p-wave models in the background of the AdS soliton as well as five-dimensional AdS black hole spacetimes. The two models of p-wave superfluids were considered, the so called SU(2) and the Maxwell-vector. Special attention has been paid to the dependence of the critical chemical potential and critical transition temperature on the velocity of the condensate and dark matter parameters. The current J in holographic three-dimensional superconductor studied here, shows the linear dependence on T c − T for both s and p-wave symmetry. This is in a significant contrast with the previously obtained results for two-dimensional superconductors, which reveal the (T − T c ) 3/2 temperature dependence. The coupling constant α, as well as, chemical potential µ D and the velocity S D of the dark matter, affect the critical chemical potential of the p-wave holographic SU(2) system. On the other hand, α, dark matter velocity S D and density ρ D determine the actual value of the transition temperature of the same superconductor/superfluid set up. However, the dark matter does not affect the value of the current.

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Analytical study on holographic superfluid in AdS soliton background

Cited by 20 publications

References 55 publications

Holographic p-wave superfluid in the AdS soliton background with RF2 corrections

Holographic p-wave superfluid in the AdS soliton background with RF2 corrections

Split degenerate states and stable p $$+i$$ + i p phases from holography

Condensate flow in holographic models in the presence of dark matter

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