Flavor superconductivity from gauge/gravity duality

Ammon, Martin; Erdmenger, Johanna; Kerner, Patrick; Kaminski, Matthias

doi:10.1088/1126-6708/2009/10/067

Cited by 138 publications

(227 citation statements)

References 91 publications

(243 reference statements)

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“…It is likely, therefore, that the prototype in (2.39) can be embedded in a similar known supergravity truncation, including the effects of the flavour branes. In fact, as demonstrated in [25,26], a spontaneous breaking of Abelian symmetry can also be observed with a non-Abelian probe DBI-sector. Thus, there is reason to believe that, within a precise and complete D-brane picture, however rich the structure may be, the essential physics of instabilities that we have considered here, can be captured by rather simple reduced models that we have discussed here.…”

Section: Jhep11(2017)101mentioning

confidence: 77%

Flavours and infra-red instability in holography

Kundu¹

2017

J. High Energ. Phys.

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With a simple gravitational model in five dimensions, defined by Einsteingravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a ChernSimons term, we explore the fate of BF-bound violation for a probe scalar field and a fluctuation mode of the corresponding geometry. We assume this simple model to capture the dynamics of a strongly coupled SU(N c ) gauge theory with N f fundamental matter, which in the limit O (N c ) ∼ O (N f ) and with a non-vanishing matter density, is holographically described by an AdS 2 -geometry in the IR. We demonstrate that, superconductor/superfluid instabilities are facilitated and spontaneous breaking of translational invariance is inhibited with increasing values of (N f /N c ). This is similar, in spirit, with known results in large N c Quantum Chromodynamics with N f quarks and a non-vanishing density, in which the chiral density wave phase becomes suppressed and superconducting instabilities become favoured as the number of quarks is increased.

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Section: Jhep11(2017)101mentioning

confidence: 77%

Flavours and infra-red instability in holography

Kundu¹

2017

J. High Energ. Phys.

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“…Our model is thus a simple extension: we switch on a nonzero spatial component of this gauge field instead of the temporal component. Whereas in [4,5], a Meissner effect is shown to occur by which a magnetic field reduces the transition temperature, here it is the magnetic field which induces condensation at zero density.…”

Section: Introductionmentioning

confidence: 94%

“…These are holographically realised by a non-trivial temporal component of the SU(2) gauge field (see [3] and [4,5] as well as the recent [6]). Our model is thus a simple extension: we switch on a nonzero spatial component of this gauge field instead of the temporal component.…”

Section: Introductionmentioning

confidence: 99%

Holographic Superfluidity from a Magnetic Field

Bu¹,

Erdmenger²,

Shock³

et al. 2013

Proceedings of XTH Quark Confinement and the Hadron Spectrum — PoS(Confinement X)

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Making use of gauge/gravity duality, we study two strongly coupled field theories that are the holographic duals of SU(2) Einstein-Yang-Mills gravitational theories on asymptotically Anti-de Sitter backgrounds. One gravity setup is dual to a finite temperature field theory, while the other has a hard wall cutoff and is dual to a confining gauge theory. Both of these models undergo a superconducting phase transition at large enough values of the magnetic field. This yields a condensate in the field theory that has a ground state resembling Abrikosov vortices of a type II superconductor to linear order in perturbation theory. These models are related to p-wave superconductors where the condensate is induced by a finite isospin density. The results presented here may be of relevance to both condensed matter physics and heavy ion collisions. They may also provide support for recent proposals that the QCD vacuum may be unstable to the formation of a ρ meson condensate when a strong magnetic field is present. Xth Quark Confinement and the Hadron Spectrum

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“…31 Matter fields transforming in the fundamental representation are introduced in the holographic correspondence by means of flavor D-branes. Models of holographic p-wave superconductivity have been actually embedded in probe flavor brane setups [28,69,70]. Here we want to focus on the s-wave case.…”

Section: Jhep02(2012)078mentioning

confidence: 99%

Unbalanced Holographic Superconductors and Spintronics.

Musso¹

2013

Proceedings of Proceedings of the Corfu Summer Institute 2012 — PoS(Corfu2012)

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We present a minimal holographic model for s-wave superconductivity with unbalanced Fermi mixtures, in 2 + 1 dimensions at strong coupling. The breaking of a U(1) A "charge" symmetry is driven by a non-trivial profile for a charged scalar field in a charged asymptotically AdS 4 black hole. The chemical potential imbalance is implemented by turning on the temporal component of a U(1) B "spin" field under which the scalar field is uncharged. We study the phase diagram of the model and comment on the eventual (non) occurrence of LOFF-like inhomogeneous superconducting phases. Moreover, we study "charge" and "spin" transport, implementing a holographic realization (and a generalization thereof to superconducting setups) of Mott's two-current model which provides the theoretical basis of modern spintronics. Finally we comment on possible string or M-theory embeddings of our model and its higher dimensional generalizations, within consistent Kaluza-Klein truncations and brane-anti brane setups.

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Flavor superconductivity from gauge/gravity duality

Cited by 138 publications

References 91 publications

Flavours and infra-red instability in holography

Flavours and infra-red instability in holography

Holographic Superfluidity from a Magnetic Field

Unbalanced Holographic Superconductors and Spintronics.

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