Ground states of holographic superconductors

By S. Gubser, Abhinav Nellore. 2009

216 citations recorded by the source corpus.

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, the likeliest ground state has Lifshitz-like scaling in the infrared. For positive mass quadratic potentials, Lifshitz-like scaling is the only possible infrared behavior for constant nonzero values of the scalar. The approach to Lifshitz-like scaling is shown in many cases to be oscillatory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0ae1b334024191aff6f2900dca859703d4ca7ab0

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Citations in the corpus

Holography of charged dilaton black holes (2009, background): “(3)In the context of holographic superconductors [10, 11], another class of black branes with vanishing entropy at T = 0 was recently found in [12, 13, 14].”
Analytic calculation of properties of holographic superconductors (2010, methodology): “Progress was made in [16, 17] where the ground state was reached numerically and the T = 0 conductivity was analyzed.”
Zero temperature limit of holographic superconductors (2009, background): “) As this paper was being completed, [15] appeared which also discusses the ground states of holographic superconductors.”
Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, methodology): “The zero temperature limit of the Abelian Higgs model with backreaction was analyzed in [36, 37] where it was shown that when m(2) > 0 the backreacted geometry has Lifshitz symmetry.”
What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, methodology): “As an example of a back-reaction on the metric, we can move to the superfluid state where the bosons are condensed, and recompute [80, 81] the metric g and gauge field At from the classical equations of motion of SEM + Sb, where φ is treated as a c-number as in the Bose-Einstein theory at T = 0.”
Lifshitz solutions of D=10 and D=11 supergravity (2010, background): “It has been proposed [31] that Lifshitz geometries can naturally arise as the ground states of holographic superconductors and it will be interesting to see if our solutions appear in this way too.”
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].”
Quantum criticality and holographic superconductors in M-theory (2009, background): “Note that models with an interesting emergent Lifshitz scaling in the IR were also studied in [10].”
Introduction to Holographic Superconductors (2010, background): “If one modifies the potential for W so that it has more than one extremum, then smooth, zero temperature solutions exist in which W rolls from one extremum to another [28, 29 ].”
A theory of first order dissipative superfluid dynamics (2011, unknown): “• One linear combination of the 4 equations can be shown to express the constancy (in the radial direction) of the ‘Noether’ charge Q1 [50], 2κ(2)Q1 = r(5)f ′ σ − r (3)VFGG ′ σ .”
Notes on Anomaly Induced Transport (2016, background): “18 Similar near horizon geometries were found in [102, 103] in the context of holographic superconductors.”
Semi-local quantum liquids (2011, background): “includes AdS4 as a special example) [61–64] in the infrared.”
Peculiar properties of a charged dilatonic black hole in AdS 5 (2009, methodology): “Following [37], one can construct a Noether charge”
Electron stars for holographic metallic criticality (2010, unknown): “hey are, this fact may be closely tied up with a version of the ‘weak gravity’ conjecture [35]. The instabilities lead to a new zero temperature bulk geometry, often without a nite size horizon (e.g. [36, 37]). The charge is then carried by explicit bulk elds and we can identify the corresponding el”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, methodology): “For example, solutions were found by introducing 1-form and 2-form gauge fields [39]; a massive vector field [42]; in an abelian Higgs model [43]; and with a charged perfect fluid [44].”
Holographic Quantum Matter (2016, background): “The simplest instance of this behavior may be EinsteinMaxwell-charged scalar theory, where the scalar has m(2) > 0 and no potential [310; 388], but it has also been found more widely in e.”