scholarly journals Notes on holographic superconductor models with the nonlinear electrodynamics

2013 ◽  
Vol 871 (1) ◽  
pp. 98-110 ◽  
Author(s):  
Zixu Zhao ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing
Keyword(s):  
Nonlinear Electrodynamics ◽  
Holographic Superconductor

scholarly journals Exponential nonlinear electrodynamics and backreaction effects on holographic superconductor in the Lifshitz black hole background

2017 ◽  
Vol 27 (01) ◽  
pp. 1750175 ◽  
Author(s):  
Z. Sherkatghanad ◽  
B. Mirza ◽  
F. Lalehgani Dezaki
Keyword(s):  
Black Hole ◽  
Critical Temperature ◽  
Critical Magnetic Field ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Dynamical Exponent ◽  
Black Hole Background ◽  
Sturm Liouville ◽  
Lifshitz Black Hole ◽  
Exponential Nonlinear Electrodynamics

We analytically describe the properties of the s-wave holographic superconductor with the exponential nonlinear electrodynamics in the Lifshitz black hole background in four-dimensions. Employing an assumption the scalar and gauge fields backreact on the background geometry, we calculate the critical temperature as well as the condensation operator. Based on Sturm–Liouville method, we show that the critical temperature decreases with increasing exponential nonlinear electrodynamics and Lifshitz dynamical exponent, [Formula: see text], indicating that condensation becomes difficult. Also we find that the effects of backreaction has a more important role on the critical temperature and condensation operator in small values of Lifshitz dynamical exponent, while [Formula: see text] is around one. In addition, the properties of the upper critical magnetic field in Lifshitz black hole background using Sturm–Liouville approach is investigated to describe the phase diagram of the corresponding holographic superconductor in the probe limit. We observe that the critical magnetic field decreases with increasing Lifshitz dynamical exponent, [Formula: see text], and it goes to zero at critical temperature, independent of the Lifshitz dynamical exponent, [Formula: see text].

scholarly journals Holographic entanglement entropy in general holographic superconductor models with logarithmic nonlinear electrodynamics

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Weiping Yao ◽  
Qiong Yang ◽  
Xiaobao Liu ◽  
Jiliang Jing
Keyword(s):  
Phase Transition ◽  
General Feature ◽  
Chemical Potential ◽  
Entanglement Entropy ◽  
Phase Transition Point ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Holographic Entanglement Entropy ◽  
Deconfinement Phase Transition ◽  
Second Order Phase Transition

AbstractWe explore the behaviors of the holographic entanglement entropy (HEE) in holographic superconductor models with logarithmic nonlinear electrodynamics (LNE) both in AdS soliton and in AdS black hole backgrounds. We observe that the slope of the HEE at the phase transition point behaves discontinuously for different LNE parameters b and geometry parameters $$\ell $$ ℓ , which may be a quite general feature for the second order phase transition. Moreover, at the critical point, the stronger nonlinearity of the LNE gives rise to the smaller HEE in metal/superconductor while leaves the HEE in insulator/superconductor model as is. Interestingly, the behavior of the HEE also implies a “confinement/deconfinement” phase transition in the insulator/superconductor model, and the critical width of the phase transition depends on the chemical potential and the strength of the LNE.

scholarly journals Effects of backreaction and exponential nonlinear electrodynamics on the holographic superconductors

2016 ◽  
Vol 26 (06) ◽  
pp. 1750050 ◽  
Author(s):  
A. Sheykhi ◽  
F. Shaker
Keyword(s):  
Mean Field ◽  
Nonlinear Electrodynamics ◽  
Gauge Fields ◽  
Holographic Superconductor ◽  
Nonlinear Parameters ◽  
Holographic Superconductors ◽  
Black Hole Background ◽  
Sturm Liouville ◽  
The Mean ◽  
Exponential Nonlinear Electrodynamics

We analytically study the properties of a [Formula: see text]-dimensional [Formula: see text]-wave holographic superconductor in the presence of exponential nonlinear (EN) electrodynamics. We consider the case in which the scalar and gauge fields back react on the background metric. Employing the analytical Sturm–Liouville method, we find that in the black hole background, the nonlinear electrodynamics correction will affect the properties of the holographic superconductors. We find that with increasing both backreaction and nonlinear parameters, the scalar hair condensation on the boundary will develop more difficult. We obtain the relation connecting the critical temperature with the charge density. Our analytical results support that, even in the presence of the nonlinear electrodynamics and backreaction, the phase transition for the holographic superconductor still belongs to the second-order and the critical exponent of the system always takes the mean-field value [Formula: see text].

Pulsar radiation in post-Maxwellian vacuum nonlinear electrodynamics

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
V. I. Denisov ◽  
B. N. Shvilkin ◽  
V. A. Sokolov ◽  
M. I. Vasili’ev
Keyword(s):  
Nonlinear Electrodynamics ◽  
Pulsar Radiation ◽  
Vacuum Nonlinear Electrodynamics

Various types of holographic metal/superconductor phase transitions with dark matter sector

2016 ◽  
Vol 26 (06) ◽  
pp. 1750046
Author(s):  
Yan Peng ◽  
Tao Chen ◽  
Guohua Liu ◽  
Pengwei Ma
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Dark Matter ◽  
Phase Transitions ◽  
Transition Temperature ◽  
De Sitter ◽  
Holographic Superconductor ◽  
Black Hole Background ◽  
Critical Phase ◽  
Matter Sector

We generalize the holographic superconductor model with dark matter sector by including the Stückelberg mechanism in the four-dimensional anti-de Sitter (AdS) black hole background away from the probe limit. We study effects of the dark matter sector on the [Formula: see text]-wave scalar condensation and find that the dark matter sector affects the critical phase transition temperature and also the order of phase transitions. At last, we conclude that the dark matter sector brings richer physics in this general metal/superconductor system.

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