scholarly journals Holographic insulator/superconductor phase transition in higher dimensional Gauss–Bonnet gravity

2019 ◽  
Vol 403 ◽  
pp. 59-67 ◽  
Author(s):  
Diganta Parai ◽  
Sunandan Gangopadhyay ◽  
Debabrata Ghorai
Keyword(s):  
Phase Transition ◽  
Bonnet Gravity ◽  
Higher Dimensional

scholarly journals Magnetic-field effects on p-wave phase transition in Gauss–Bonnet gravity

2014 ◽  
Vol 29 (20) ◽  
pp. 1450094 ◽  
Author(s):  
Ya-Bo Wu ◽  
Jun-Wang Lu ◽  
Yong-Yi Jin ◽  
Jian-Bo Lu ◽  
Xue Zhang ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
P Wave ◽  
Vector Model ◽  
Magnetic Field Effects ◽  
Complex Vector ◽  
Bonnet Gravity ◽  
Yang Mills ◽  
Wave Phase ◽  
Lowest Landau Level

In the probe limit, we study the holographic p-wave phase transition in the Gauss–Bonnet gravity via numerical and analytical methods. Concretely, we study the influences of the external magnetic field on the Maxwell complex vector model in the five-dimensional Gauss–Bonnet–AdS black hole and soliton backgrounds, respectively. For the two backgrounds, the results show that the magnetic field enhances the superconductor phase transition in the case of the lowest Landau level, while the increasing Gauss–Bonnet parameter always hinders the vector condensate. Moreover, the Maxwell complex vector model is a generalization of the SU(2) Yang–Mills model all the time. In addition, the analytical results backup the numerical results. Furthermore, this model might provide a holographic realization for the QCD vacuum instability.

Analytical studies on holographic superconductor in the probe limit

2017 ◽  
Vol 32 (26) ◽  
pp. 1750160 ◽  
Author(s):  
Yan Peng ◽  
Guohua Liu
Keyword(s):  
Phase Transition ◽  
Dimensional Space ◽  
Holographic Superconductor ◽  
Charged Scalar ◽  
Higher Dimensional Space Time ◽  
Higher Dimensional ◽  
Critical Phase ◽  
Scalar Operator ◽  
Dimensional Space Time ◽  
Transition Points

We investigate the holographic superconductor model constructed in the (2[Formula: see text]+[Formula: see text]1)-dimensional AdS soliton background in the probe limit. With analytical methods, we obtain the formula of critical phase transition points with respect to the scalar mass. We also generalize this formula to higher-dimensional space–time. We mention that these formulas are precise compared to numerical results. In addition, we find a correspondence between the value of the charged scalar field at the tip and the scalar operator at infinity around the phase transition points.

scholarly journals Phase Transition of the Higher Dimensional Charged Gauss-Bonnet Black Hole in de Sitter Spacetime

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Meng-Sen Ma ◽  
Li-Chun Zhang ◽  
Hui-Hua Zhao ◽  
Ren Zhao
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Effective Temperature ◽  
Thermodynamic Quantities ◽  
De Sitter Spacetime ◽  
Response Functions ◽  
De Sitter ◽  
Sitter Spacetime ◽  
Higher Dimensional ◽  
Temperature And Pressure

We study the phase transition of charged Gauss-Bonnet-de Sitter (GB-dS) black hole. For black holes in de Sitter spacetime, there is not only black hole horizon, but also cosmological horizon. The thermodynamic quantities on both horizons satisfy the first law of the black hole thermodynamics, respectively; moreover, there are additional connections between them. Using the effective temperature approach, we obtained the effective thermodynamic quantities of charged GB-dS black hole. According to Ehrenfest classification, we calculate some response functions and plot their figures, from which one can see that the spacetime undergoes a second-order phase transition at the critical point. It is shown that the critical values of effective temperature and pressure decrease with the increase of the value of GB parameterα.

scholarly journals Higher Dimensional Static and Spherically Symmetric Solutions in Extended Gauss–Bonnet Gravity

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 372 ◽  
Author(s):  
Francesco Bajardi ◽  
Konstantinos F. Dialektopoulos ◽  
Salvatore Capozziello
Keyword(s):  
Topological Invariant ◽  
Spherically Symmetric ◽  
Noether Symmetries ◽  
Curvature Scalar ◽  
Bonnet Gravity ◽  
Higher Dimensional ◽  
Point Transformations ◽  
Spherically Symmetric Solutions ◽  
Functional Forms ◽  
Symmetric Spacetime

We study a theory of gravity of the form f ( G ) where G is the Gauss–Bonnet topological invariant without considering the standard Einstein–Hilbert term as common in the literature, in arbitrary ( d + 1 ) dimensions. The approach is motivated by the fact that, in particular conditions, the Ricci curvature scalar can be easily recovered and then a pure f ( G ) gravity can be considered a further generalization of General Relativity like f ( R ) gravity. Searching for Noether symmetries, we specify the functional forms invariant under point transformations in a static and spherically symmetric spacetime and, with the help of these symmetries, we find exact solutions showing that Gauss–Bonnet gravity is significant without assuming the Ricci scalar in the action.

Higher-dimensional radiating black holes in Einstein-Gauss-Bonnet gravity

2019 ◽  
Vol 100 (2) ◽  
Author(s):  
Byron P. Brassel ◽  
Sunil D. Maharaj ◽  
Rituparno Goswami
Keyword(s):  
Black Holes ◽  
Bonnet Gravity ◽  
Higher Dimensional
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