Ground states of holographic superconductors

@article{Gubser2009GroundSO,
  title={Ground states of holographic superconductors},
  author={Steven S Gubser and Abhinav Nellore},
  journal={Physical Review D},
  year={2009},
  volume={80},
  pages={105007}
}
We investigate the ground states of the Abelian Higgs model in AdS{sub 4} with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the electric charge under the Abelian gauge field. For W-shaped potentials with symmetry-breaking minima, an analysis of infrared asymptotics suggests that the ground state has emergent conformal symmetry in the infrared when the charge of the complex scalar is large enough. But when this charge is too small… 

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References

SHOWING 1-10 OF 27 REFERENCES

Low-temperature behavior of the Abelian Higgs model in Anti-de Sitter space

We explore the low-temperature behavior of the Abelian Higgs model in AdS4, away from the probe limit in which back-reaction of matter fields on the metric can be neglected. Over a significant range

Quantum critical superconductors in string theory and M-theory

Landscape of superconducting membranes

The AdS/CFT correspondence may connect the landscape of string vacua and the 'atomic landscape' of condensed matter physics. We study the stability of a landscape of IR fixed points of N=2 large N

Gravity dual to a quantum critical point with spontaneous symmetry breaking.

This work considers zero-temperature solutions to the Abelian Higgs model coupled to gravity with a negative cosmological constant and provides an example in which the real part of the conductivity scales approximately as omega;{3.5} for small omega.

Holographic Superconductors

: It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell field and charged scalar. We review our earlier analysis of this

Superconductors from superstrings.

We establish that in a large class of strongly coupled (3+1)-dimensional N=1 quiver conformal field theories with gravity duals, adding a chemical potential for the R charge leads to the existence of

Emergent quantum criticality, Fermi surfaces, and AdS2

Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region, which is AdS{sub 2}xR{sup d-1}. The scale invariance of the AdS{sub 2} region implies that

On string theory duals of Lifshitz-like fixed points

We present type IIB supergravity solutions which are expected to be dual to certain Lifshitz-like fixed points with anisotropic scale invariance. They are expected to describe a class of D3-D7

Stability in Gauged Extended Supergravity

Quantum critical transport, duality, and M-theory

We consider charge transport properties of 2+1 dimensional conformal field theories at non-zero temperature. For theories with only Abelian U(1) charges, we describe the action of particle-vortex