scholarly journals Observing the inhomogeneity in the holographic models of superconductors

2014 ◽  
Vol 29 (14) ◽  
pp. 1450070 ◽  
Author(s):  
Xiao-Mei Kuang ◽  
Bin Wang ◽  
Xian-Hui Ge
Keyword(s):  
Black Hole ◽  
Critical Temperature ◽  
Scalar Field ◽  
Chemical Potential ◽  
Normal Phase ◽  
Field Perturbation ◽  
Holographic Superconductors ◽  
Gravity Duals

We study the gravity duals of striped holographic superconductors in the AdS black hole and AdS soliton backgrounds. We show the dependences of the condensation and the critical temperature/critical chemical potential on the inhomogeneity in these two different spacetimes. By exploring the dynamics of the normal phase through the scalar field perturbation, we argue that the pair susceptibility and the conductivity can be possible phenomenological indications to disclose the property of inhomogeneity.

scholarly journals CONDENSATION OF THE SCALAR FIELD WITH STUCKELBERG AND WEYL CORRECTIONS IN THE BACKGROUND OF A PLANAR AdS–SCHWARZSCHILD BLACK HOLE

2012 ◽  
Vol 27 (22) ◽  
pp. 1250128 ◽  
Author(s):  
D. MOMENI ◽  
M. R. SETARE ◽  
RATBAY MYRZAKULOV
Keyword(s):  
Black Hole ◽  
Stability Analysis ◽  
Critical Temperature ◽  
Scalar Field ◽  
Lower Bound ◽  
Chemical Potential ◽  
Numerical Estimate ◽  
Schwarzschild Black Hole ◽  
Holographic Superconductors ◽  
Analytical Properties

We study analytical properties of the Stuckelberg holographic superconductors with Weyl corrections. We obtain the minimum critical temperature as a function of the mass of the scalar field m2. We show that in limit of the [Formula: see text] which is close to the numerical estimate [Formula: see text]. Further we show that the mass of the scalar field is bounded from below by the [Formula: see text] where [Formula: see text]. This lower bound is weaker and different from the previous lower bound m2 = -3 predicted by stability analysis. We show that in the Breitenlohner–Freedman bound, the critical temperature remains finite. Explicitly, we prove that here there exists a linear relation between 〈OΔ〉 and the chemical potential.

scholarly journals Massive scalar field perturbation on Kerr black holes in dynamical Chern–Simons gravity

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Shao-Jun Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Massive Scalar ◽  
Coupling Constant ◽  
Field Mass ◽  
Field Perturbation ◽  
Massive Scalar Field ◽  
Kerr Black Holes ◽  
Chern Simons

AbstractWe study massive scalar field perturbation on Kerr black holes in dynamical Chern–Simons gravity by performing a $$(2+1)$$ ( 2 + 1 ) -dimensional simulation. Object pictures of the wave dynamics in time domain are obtained. The tachyonic instability is found to always occur for any nonzero black hole spin and any scalar field mass as long as the coupling constant exceeds a critical value. The presence of the mass term suppresses or even quench the instability. The quantitative dependence of the onset of the tachyonic instability on the coupling constant, the scalar field mass and the black hole spin is given numerically.

A holographic superconductor model with higher correction terms

2015 ◽  
Vol 30 (13) ◽  
pp. 1550069
Author(s):  
Yan Peng ◽  
Guohua Liu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Scalar Field ◽  
Model Parameters ◽  
Holographic Superconductor ◽  
Transition Diagram ◽  
Holographic Superconductors ◽  
Black Hole Background ◽  
Correction Terms ◽  
Matter Fields

We study general models for holographic superconductors with higher correction terms of the scalar field in the four-dimensional AdS black hole background including the matter fields' backreaction on the metric. We explore the effects of the model parameters on the scalar condensation and find that different values of model parameters can determine the order of phase transitions. Moreover, we find that the higher correction terms provide richer physics in the phase transition diagram.

scholarly journals A NOTE ON HOLOGRAPHIC SUPERCONDUCTORS WITH WEYL CORRECTIONS

2011 ◽  
Vol 26 (38) ◽  
pp. 2889-2898 ◽  
Author(s):  
D. MOMENI ◽  
M. R. SETARE
Keyword(s):  
Critical Temperature ◽  
Critical Exponent ◽  
Linear Relation ◽  
Chemical Potential ◽  
Equations Of Motion ◽  
Chemical Potential Difference ◽  
Conformal Dimension ◽  
Holographic Superconductors ◽  
Analytical Properties ◽  
Good Agreement

We study analytical properties of the holographic superconductors with Weyl corrections. We describe the phenomena in the probe limit neglecting backreaction of the spacetime. We observe that for the conformal dimension △+ = 3, the minimum value of the critical temperature [Formula: see text] at which condensation sets, can be obtained directly from the equations of motion as [Formula: see text], which is in very good agreement with the numerical value [Formula: see text] [Phys. Lett. B697, 153 (2011)]. This value of [Formula: see text] corresponds to the value of the Weyl's coupling γ = -0.06 in Table 1 of Phys. Lett. B697, 153 (2011). We calculate the [Formula: see text] for another Weyl's coupling γ = 0.02 and the conformal dimension △- = 1. Further, we show that the critical exponent is [Formula: see text]. We observe that there is a linear relation between the charge density ρ and the chemical potential difference μ-μ c qualitatively matches the numerical curves.

scholarly journals THERMAL MASS SPECTRA OF SCALAR AND PSEUDO-SCALAR MESONS IN IR-IMPROVED SOFT-WALL AdS/QCD MODEL WITH FINITE CHEMICAL POTENTIAL

2013 ◽  
Vol 28 (34) ◽  
pp. 1350132 ◽  
Author(s):  
LING-XIAO CUI ◽  
YUE-LIANG WU
Keyword(s):  
Black Hole ◽  
Critical Temperature ◽  
Finite Temperature ◽  
Mass Spectra ◽  
Chemical Potential ◽  
Thermal Mass ◽  
Scalar Mesons ◽  
Soft Wall ◽  
The One ◽  
Pseudo Scalar

The thermal mass spectra of scalar and pseudo-scalar mesons are studied in an IR-improved soft-wall AdS/QCD model. The Reissner–Nordstrom AdS black hole metric is introduced to describe both the finite temperature and density effects. The thermal spectral function is computed, which shows that the position of peak moves toward a smaller value and the width of peak also broadens to a larger value as the temperature increases. The critical temperature at which the peaks are completely dissolved has been found to be around Tc≃160~200 MeV . The effect of chemical potential is shown to be the same as the one caused by the temperature. It is found that when the temperature approaches to zero T≈0, the melting down of mesons occurs at the scaled critical chemical potential μ0/κ≈2.2~2.4 GeV.

scholarly journals Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Shao-Jun Zhang ◽  
Bin Wang ◽  
Anzhong Wang ◽  
Joel F. Saavedra
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Kerr Black Hole ◽  
Field Perturbation ◽  
Object Picture

Holographic helical superconductor with higher curvature corrections

2018 ◽  
Vol 33 (01) ◽  
pp. 1850002 ◽  
Author(s):  
Subir Mukhopadhyay ◽  
Chandrima Paul
Keyword(s):  
Black Hole ◽  
Transition Temperature ◽  
Gauge Theory ◽  
Scalar Field ◽  
Chemical Potential ◽  
Critical Value ◽  
Free Energies ◽  
Holographic Superconductor ◽  
Bonnet Gravity ◽  
Chern Simons

We study [Formula: see text] gauge theory with Chern–Simons term, coupled to scalar field in adjoint, in Einstein–Gauss–Bonnet gravity. We explore phases of holographic superconductor in terms of the condensates and free energies in the background of AdS black hole and AdS soliton. In the case of black hole, we find with increasing strength of higher curvature terms, transition temperature decreases. For AdS soliton, the critical value of chemical potential increases as the higher curvature terms dominate.

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

scholarly journals Spinning boson stars and hairy black holes with nonminimal coupling

2018 ◽  
Vol 27 (11) ◽  
pp. 1843009 ◽  
Author(s):  
Carlos A. R. Herdeiro ◽  
Eugen Radu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Coupling Parameter ◽  
Nonminimal Coupling ◽  
Boson Stars ◽  
Hairy Black Holes ◽  
Black Hole Solutions ◽  
Hairy Black Hole ◽  
Coupled Theory

We obtain spinning boson star solutions and hairy black holes with synchronized hair in the Einstein–Klein–Gordon model, wherein the scalar field is massive, complex and with a nonminimal coupling to the Ricci scalar. The existence of these hairy black holes in this model provides yet another manifestation of the universality of the synchronization mechanism to endow spinning black holes with hair. We study the variation of the physical properties of the boson stars and hairy black holes with the coupling parameter between the scalar field and the curvature, showing that they are, qualitatively, identical to those in the minimally coupled case. By discussing the conformal transformation to the Einstein frame, we argue that the solutions herein provide new rotating boson star and hairy black hole solutions in the minimally coupled theory, with a particular potential, and that no spherically symmetric hairy black hole solutions exist in the nonminimally coupled theory, under a condition of conformal regularity.

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