Holographic s+p Superconductors

Amado, Irene; Arean, Daniel; Jimenez-Alba, Amadeo; Melgar, Luis; Landea, Ignacio Salazar

doi:10.48550/arxiv.1309.5086

Cited by 17 publications

(36 citation statements)

References 28 publications

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“…1 Some other holographic studies of competing orders appear in [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Competing p-wave orders

Donos,

Gauntlett,

Pantelidou

2013

Preprint

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We construct electrically charged, asymptotically AdS 5 black hole solutions that are dual to d = 4 CFTs in a superfluid phase with either p-wave or (p + ip)-wave order. The two types of black holes have non-vanishing charged two-form in the bulk and appear at the same critical temperature in the unbroken phase. Both the p-wave and the (p + ip)-wave phase can be thermodynamically preferred, depending on the mass and charge of the two-form, and there can also be first order transitions between them. The p-wave black holes have a helical structure and some of them exhibit the phenomenon of pitch inversion as the temperature is decreased. Both the p-wave and the (p+ip)-wave black holes have zero entropy density ground states at zero temperature and we identify some new ground states which exhibit scaling symmetry, including a novel scenario for the emergence of conformal symmetry in the IR.

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“…1 Some other holographic studies of competing orders appear in [22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Competing p-wave orders

Donos,

Gauntlett,

Pantelidou

2013

Preprint

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“…As we mentioned before our aim here is to study the analytical properties of a mixed phase s + p of a holographic superconductor. We start by writing the action of a 3 + 1 dimensional bulk with AdS boundary, by including a U (2) gauge field and a scalar doublet field, instead of the usual scalar field [12]:…”

Section: Modelmentioning

confidence: 99%

“…The metric represents a black hole bounced in an AdS and with planar topology of the horizon. By using the same assumptions on the fields and following the [12], we can write the next set of the field equations for our system in the probe limit, ignoring the back reactions (in units 2κ 2 = 1):…”

Section: Modelmentioning

confidence: 99%

Analytical coexistence of s-, p-, (s + p)-phases of a holographic superconductor

Momeni

Myrzakulov

2015

Int. J. Geom. Methods Mod. Phys.

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We analytically study the critical phase of a mixed system of the U (2) gauge fields and global symmetry on the boundary using gauge/gravity. A variational minimization problem has been formulated. The numerical results pertinently show that there exists a minimum chemical potential in which both scalar (s-wave) and vector (p-wave) condensates exist in a mixture, as well as in the distinct s-and p-phases. This result is obtained by breaking the symmetry into U (1) symmetry and rotational symmetry. While the analytical solutions of condensates and charge densities are achieved in both cases: the balanced and unbalanced holographic superconductors. This is the first analytical study of the coexistence of two modes of the superconductivity with different order parameters. The realistic model consists of two different phases of the superfluidity in Helium.

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“…The holographic superconductor models with single condensate [1,2,3,4,5] has been extended to systems with multiple orders [6] in recent years. The competition and coexistence of two orders are firstly studied in a holographic s+s model [7,8], and later in s+p [9,10,11,12] and s+d [13,14] models. In these models, besides the single condensate solutions, new coexistent solutions also exist, as a result, the holographic models with multi-condensate show rich phase transitions and the phase structures become more complicated.…”

Section: Introductionmentioning

confidence: 99%

Holographic multi-condensate with nonlinear terms

Zhang,

Xia,

Nie

et al. 2021

Preprint

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We study the influence of nonlinear terms quartic of the charged fields, which do not change the critical points of single condensate solutions, on the phase structure of a holographic model with multi-condensate in probe limit. We include one s-wave order and one p-wave order charged under the same U(1) gauge field in the holographic model and study the influence of the three quartic nonlinear terms of the charged fields with coefficients λ s , λ p and λ sp on the phase structure. We show the influence of each of the three parameters on the phase diagram with other two set to zero, respectively. With these nonlinear terms, we get more power on tuning the phase structure of the holographic system showing multi-condensate, and show how to get a reentrant phase transition as an example.

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Holographic s+p Superconductors

Cited by 17 publications

References 28 publications

Competing p-wave orders

Competing p-wave orders

Analytical coexistence of s-, p-, (s + p)-phases of a holographic superconductor

Holographic multi-condensate with nonlinear terms

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