Competing p-wave orders

Donos, Aristomenis; Gauntlett, Jerome P.; Pantelidou, Christiana

doi:10.48550/arxiv.1310.5741

Cited by 19 publications

(24 citation statements)

References 44 publications

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“…Here we record the explicit expressions for the components of the energy-momentum tensor T µν defined in (2.19). Writing T µν = r 6 T µν and after setting f 0 = 1, we find If we set α 0 = 0, the above agrees with the results of [28] in the absence of matter fields.…”

Section: A Boundary Energy-momentum Tensorsupporting

confidence: 80%

“…where the neglected terms are O(e −6k/ h+ r ). In the far IR the metric approaches the AdS 5 vacuum solution with the flow governed by k-dependent relevant modes, in the same spirit as in [5,28]. This IR expansion is specified by three dimensionless constants ᾱ+ , f+ , h+ and we observe, in particular, that f+ and h+ allow for a nontrivial renormalisation of length scales between the UV and the IR.…”

Section: Non-linear Helical Deformation About Ads 5 At T =mentioning

confidence: 69%

“…[17][18][19][20]. 2 Bianchi VII 0 symmetry has arisen in various holographic constructions [22][23][24][25][26][27][28] including constructions with momentum dissipation [4,13].…”

Section: Introductionmentioning

confidence: 99%

“…CFTs by a periodic chemical potential which averages to zero over a period [5], and is also reminiscent of some ground states of particular s-wave [29] and p-wave [28,30] superconductors.…”

Section: Introductionmentioning

confidence: 99%

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Conformal field theories ind=4with a helical twist

2015

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Reprinted with permission from the American Physical Society: Physical Review D 91, 066003 c 2015 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modied, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society. Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Within the context of holography we study the general class of d ¼ 4 conformal field theories (CFTs) after applying a universal helical deformation. At finite temperature we construct the associated black hole solutions of Einstein gravity, numerically, by exploiting a Bianchi VII 0 ansatz for the bulk D ¼ 5 metric. At T ¼ 0 we show that they flow in the IR to exactly the same CFT. The deformation gives rise to a finite, nonzero DC thermal conductivity along the axis of the helix, which we determine analytically in terms of black hole horizon data. We also calculate the AC thermal conductivity along this axis and show that it exhibits Drude-like peaks.

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Section: A Boundary Energy-momentum Tensorsupporting

confidence: 80%

Section: Non-linear Helical Deformation About Ads 5 At T =mentioning

confidence: 69%

“…[17][18][19][20]. 2 Bianchi VII 0 symmetry has arisen in various holographic constructions [22][23][24][25][26][27][28] including constructions with momentum dissipation [4,13].…”

Section: Introductionmentioning

confidence: 99%

“…CFTs by a periodic chemical potential which averages to zero over a period [5], and is also reminiscent of some ground states of particular s-wave [29] and p-wave [28,30] superconductors.…”

Section: Introductionmentioning

confidence: 99%

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Conformal field theories ind=4with a helical twist

2015

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“…There are various other constructions of fully back-reacted black holes describing spatially modulated phases, in which translations are spontaneously broken including [14][15][16][17][18][19][20][21][22][23]. In particular, our construction shares several similarities with the work of [22].…”

Section: Introductionmentioning

confidence: 94%

Holographic Abrikosov Lattices

Donos,

Gauntlett,

Pantelidou

2020

Preprint

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We study black hole solutions of D = 4 Einstein-Maxwell theory coupled to a charged scalar field that are holographically dual to a d = 3 conformal field theory with a non-vanishing chemical potential and constant magnetic field. We numerically construct black hole solutions that are dual to a superfluid phase with a periodic lattice of vortices. For the specific model we investigate, we find that the thermodynamically preferred configuration is given by a triangular lattice and moreover the vortices are associated with the lowest Landau level. We also construct black holes describing a lattice of vortices associated with the next to lowest Landau level and while these are not thermodynamically preferred they exhibit some interesting features that could be realised for other holographic models.

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Intermediate scalings in holographic RG flows and conductivities

Bhattacharya

Cremonini

Goutéraux

2015

J. High Energ. Phys.

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Abstract:We construct numerically finite density domain-wall solutions which interpolate between two AdS 4 fixed points and exhibit an intermediate regime of hyperscaling violation, with or without Lifshitz scaling. Such RG flows can be realized in gravitational models containing a dilatonic scalar and a massive vector field with appropriate choices of the scalar potential and couplings. The infrared AdS 4 fixed point describes a new ground state for strongly coupled quantum systems realizing such scalings, thus avoiding the wellknown extensive zero temperature entropy associated with AdS 2 ×R 2 . We also examine the zero temperature behavior of the optical conductivity in these backgrounds and identify two scaling regimes before the UV CFT scaling is reached. The scaling of the conductivity is controlled by the emergent IR conformal symmetry at very low frequencies, and by the intermediate scaling regime at higher frequencies.

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Competing p-wave orders

Cited by 19 publications

References 44 publications

Conformal field theories ind=4with a helical twist

Conformal field theories ind=4with a helical twist

Holographic Abrikosov Lattices

Intermediate scalings in holographic RG flows and conductivities

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