Zero temperature limit of holographic superconductors

By G. Horowitz, M. Roberts. 2009

392 citations recorded by the source corpus.

We consider holographic superconductors whose bulk description consists of gravity minimally coupled to a Maxwell field and charged scalar field with general potential. We give an analytic argument that there is no ``hard gap'': the real part of the conductivity at low frequency remains nonzero (although typically exponentially small) even at zero temperature. We also numerically construct the gravitational dual of the ground state of some holographic superconductors. Depending on the charge and dimension of the condensate, the infrared theory can have emergent conformal or just Poincare symmetry. In all cases studied, the area of the horizon of the dual black hole goes to zero in the extremal limit, consistent with a nondegenerate ground state.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/624f4d64739503278946d7ebaed236edcc333978

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Citations in the corpus

Complexity, action, and black holes (2015, background): “The zero temperature state of the holographic superconductor has all charge carried in the condensate and vanishing black hole radius and entropy [48].”
Semi-holographic Fermi liquids (2010, background): “J H E P 0 6 ( 2 0 1 1 ) 0 1 2 Examples are the charged dilaton black holes considered in [32] and the extremal limit of some holographic superconductors [33, 34], though some details will be slightly different.”
Analytic calculation of properties of holographic superconductors (2010, methodology): “We presented evidence that this limit is singular signaling the onset of a phase transition [16].”
Holographic Complexity Equals Bulk Action? (2015, background): “The zero-temperature limit of this solution has all the charge residing in the condensate shell and has vanishing horizon area [29], and hence does not complexify.”
Complete phase diagrams for a holographic superconductor/insulator system (2010, background): “case [21]) and the system is trying to avoid singular configurations.”
Analytical study on holographic superconductors in external magnetic field (2010, background): “J H E P 0 8 ( 2 0 1 0 ) 1 0 8 probe limit by considering the backreaction of the scalar field on the background spacetime has been reported in [36].”
Integrating out geometry: holographic Wilsonian RG and the membrane paradigm (2010, methodology): “While we use the example of a neutral scalar field for illustration, it should be borne in mind that the discussion immediately generalizes to a charge scalar field and spinors.17 An extremal charged black hole in AdSd+1 has a metric given by”
Holography of dyonic dilaton black branes (2010, methodology): “1 of [6], following [20], the conductivity is given in terms of the reflection coefficient R by σ = 1−R 1 +R (3.”
Holographic Q-lattices (2013, neutral): “When there is no lattice deformation a possible ground state for this model was identified in [26].”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, methodology): “This domain wall can be used to set symmetry-breaking boundary conditions both in the UV and in the IR, [41, 19, 42, 43].”
General relativity and the cuprates (2013, background): “In the homogeneous case, the zero temperature limit of these hairy black holes is known to take the form [24] ds(2) = r(2)(−dt(2) + dxidx) + dr(2) g0r(2)(− log r) (3.”