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.

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.

scholarly journals Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

2020 ◽  
Vol 29 (12) ◽  
pp. 2050081
Author(s):  
S. Rajaee Chaloshtary ◽  
M. Kord Zangeneh ◽  
S. Hajkhalili ◽  
A. Sheykhi ◽  
S. M. Zebarjad
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Quantum Effect ◽  
Massive Gravity ◽  
Nonlinear Electrodynamics ◽  
Model Parameters ◽  
Thermodynamic Quantities ◽  
Field Equations ◽  
Black Hole Solutions

We investigate a new class of [Formula: see text]-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher-dimensional solutions in massive gravity coupled to nonlinear electrodynamics is motivated by holographic hypothesis as well as string theory. We first construct exact solutions of the field equations and then explore the behavior of the metric functions for different values of the model parameters. We observe that our black holes admit the multi-horizons caused by a quantum effect called anti-evaporation. Next, by calculating the conserved and thermodynamic quantities, we obtain a generalized Smarr formula. We find that the first law of black holes thermodynamics is satisfied on the black hole horizon. We study thermal stability of the obtained solutions in both canonical and grand canonical ensembles. We reveal that depending on the model parameters, our solutions exhibit a rich variety of phase structures. Finally, we explore, for the first time without extending thermodynamics phase space, the critical behavior and reentrant phase transition for black hole solutions in massive gravity theory. We realize that there is a zeroth-order phase transition for a specified range of charge value and the system experiences a large/small/large reentrant phase transition due to the presence of nonlinear electrodynamics.

ANALYTIC TREATMENT ON STIMULATED HOLOGRAPHIC SUPERCONDUCTORS

2012 ◽  
Vol 27 (02) ◽  
pp. 1250010 ◽  
Author(s):  
XIAO-XIONG ZENG ◽  
XIAN-MING LIU ◽  
WEN-BIAO LIU
Keyword(s):  
Phase Transition ◽  
Transition Temperature ◽  
Phase Transition Temperature ◽  
Critical Frequency ◽  
Chemical Potential ◽  
Time Dependent ◽  
Holographic Superconductor ◽  
Holographic Superconductors ◽  
Frequency Regime ◽  
Sturm Liouville

Using the classical time-average approximation to deal with equation of motion for scalar field, holographic superconductor with a time-dependent chemical potential is studied analytically in probe limit. On the basis of the minimum eigenvalue of Sturm–Liouville equation, concrete values of the phase transition temperature and critical frequency are obtained. The condensed solution in high frequency regime is also calculated. It is shown that the phase transition temperature enhances and the superconductivity can be got easier as the frequency of the time-dependent chemical potential, which should be larger than the critical frequency, rises.

A general Stückelberg holographic conductor/superconductor model

2015 ◽  
Vol 30 (34) ◽  
pp. 1550183 ◽  
Author(s):  
Guohua Liu ◽  
Yan Peng
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Model Parameters ◽  
Transition Diagram ◽  
New Model

In this paper, we study a general holographic conductor/superconductor model with Stückelberg mechanism in the four-dimensional AdS back hole background without backreaction. We try to disclose properties of the phase transitions through condensations of the scalar operators. We find that the model parameters can determine the order of phase transitions and the new model provide richer physics in the phase transition diagram.

scholarly journals Scalar field dynamics in warped AdS3 black hole background

2009 ◽  
Vol 680 (5) ◽  
pp. 500-505 ◽  
Author(s):  
Sayan K. Chakrabarti ◽  
Pulak Ranjan Giri ◽  
Kumar S. Gupta
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Black Hole Background ◽  
Scalar Field Dynamics

scholarly journals Weyl holographic superconductor in the Lifshitz black hole background

2016 ◽  
Vol 2016 (7) ◽  
Author(s):  
S. A. Hosseini Mansoori ◽  
B. Mirza ◽  
A. Mokhtari ◽  
F. Lalehgani Dezaki ◽  
Z. Sherkatghanad
Keyword(s):  
Black Hole ◽  
Holographic Superconductor ◽  
Black Hole Background ◽  
Lifshitz Black Hole
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