Striped phases in the holographic insulator/superconductor transition

Erdmenger, Johanna; Ge, Xian-Hui; Pang, Da-Wei

doi:10.1007/jhep11(2013)027

Cited by 39 publications

(38 citation statements)

References 103 publications

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“…5 Holographic superconductors with spatially modulated orders have been studied in a number of setups, starting with [19], in which striped modulations were sourced by a periodic chemical potential, with many generalizations in the literature since then, e.g. [20][21][22][23][24]. A study of backreaction by adding a lattice in the form of a periodic potential was reported in [25].…”

Section: Jhep08(2017)081mentioning

confidence: 99%

Intertwined orders in holography: pair and charge density waves

Cremonini

Ren

2017

J. High Energ. Phys.

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Building on [1], we examine a holographic model in which a U(1) symmetry and translational invariance are broken spontaneously at the same time. The symmetry breaking is realized through the Stückelberg mechanism, and leads to a scalar condensate and a charge density which are spatially modulated and exhibit unidirectional stripe order. Depending on the choice of parameters, the oscillations of the scalar condensate can average out to zero, with a frequency which is half of that of the charge density. In this case the system realizes some of the key features of pair density wave order. The model also admits a phase with co-existing superconducting and charge density wave orders, in which the scalar condensate has a uniform component. In our construction the various orders are intertwined with each other and have a common origin. The fully backreacted geometry is computed numerically, including for the case in which the theory contains axions. The latter can be added to explicitly break translational symmetry and mimic lattice-type effects.

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Section: Jhep08(2017)081mentioning

confidence: 99%

Intertwined orders in holography: pair and charge density waves

Cremonini

Ren

2017

J. High Energ. Phys.

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“…Interplay of disorder effect and periodic effect.-Holographic superconductor with periodic chemical potential has been studied in [25][26][27]. In [26,27] the authors found that the superconductivity is enhanced by the presence of the periodic chemical potential.…”

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confidence: 99%

“…In [26,27] the authors found that the superconductivity is enhanced by the presence of the periodic chemical potential. In Fig.…”

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confidence: 99%

Possible Anderson localization in a holographic superconductor

Zeng

2013

Phys. Rev. D

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We study the effect of disorder in a holographic superconductor by introducing a quasi-periodic chemical potential. When the condensation of the superconductor is sufficiently small compared with the strength of disorder, we find that there exists a discontinuous phase transition from superconducting state to normal state with increasing disorder strength. For relatively large condensation, we find that disorder suppress but not completely destroy superconductivity.Introduction.-The effect of disorder in superconductor has intrigued scientists for several decades. Soon after the BCS theory [1], Anderson found that weak disorder cannot destroy the superconductivity [2]. Until now, both theories and experiments have confirmed that a strong disorder will eventually destruct superconductivity, driving the system into an insulating state or a normal metal state [3][4][5][6][7][8][9][10]. However, the effect of interactions in a disordered superconductors is still not well understood. As a natural way to study a strongly coupled quantum field theory systems, the AdS/CFT correspondence [17] has been used to study the interplay of disorder and interaction [11][12][13][14][15][16]. The holographic correspondence has also been proved to be successful to study various properties of superconductors [18,19]. In reference [20] the authors firstly studied a dirty holographic superconductor, the found that the disordered superconductor always has a larger critical temperature relative to the to the T c for the uniform one. In this paper we focus on understanding another important issue, the possible Anderson localization in a holographic superconductor. Technically, the weak disorder effect is introduced by a quasi-periodic chemical potential on the boundary field theory, the strength of the disorder is controlled by a parameter α. By tuning

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“…We would like to extend the discussion of the inhomogeneity to the AdS soliton background. First attempt in this direction was reported in [16]. We will show more behaviors of the strongly coupled striped insulator and its dependence on the inhomogeneity.…”

Section: Introductionmentioning

confidence: 81%

“…This is very different from the behavior of the conductivity perpendicular to the direction of the stripe. In [16] it was noticed that the conductivity perpendicular to the direction of the stripe is not much modified by the the spacial modulation, because as ω → 0 the conductivity becomes a delta function for various spacial modes. We hope to present the numerical result for the conductivity along the direction of stripe in the future.…”

Section: Striped Phases In the Holographic Insulatormentioning

confidence: 99%

Observing the inhomogeneity in the holographic models of superconductors

Kuang

Wang

2014

Mod. Phys. Lett. A

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We study the gravity duals of striped holographic superconductors in the AdS black hole and AdS soliton backgrounds. We show the dependences of the condensation and the critical temperature/critical chemical potential on the inhomogeneity in these two different spacetimes. By exploring the dynamics of the normal phase through the scalar field perturbation, we argue that the pair susceptibility and the conductivity can be possible phenomenological indications to disclose the property of inhomogeneity.

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Striped phases in the holographic insulator/superconductor transition

Cited by 39 publications

References 103 publications

Intertwined orders in holography: pair and charge density waves

Intertwined orders in holography: pair and charge density waves

Possible Anderson localization in a holographic superconductor

Observing the inhomogeneity in the holographic models of superconductors

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