Holographic p-wave superconductors from Gauss-Bonnet gravity

Cai, Rong-Gen; Nie, Zhang-Yu; Zhang, Haiqing

doi:10.1103/physrevd.82.066007

Cited by 118 publications

(105 citation statements)

References 75 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the case of Gauss-Bonnet p-wave metal/superconductor phase transitions [61], the curvature corrections also imply the growth of the value of the condensation operator. This fact was also confirmed by the previous studies [62][63][64].…”

Section: Jhep03(2016)215supporting

confidence: 89%

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:The holographic approach to building the p-wave superconductors results in three different models: the Maxwell-vector, the SU(2) Yang-Mills and the helical. In the probe limit approximation, we analytically examine the properties of the first two models in the theory with dark matter sector. It turns out that the effect of dark matter on the Maxwell-vector p-wave model is the same as on the s-wave superconductor studied earlier.For the non-Abelian model we study the phase transitions between p-wave holographic insulator/superconductor and metal/superconductor. Studies of marginally stable modes in the theory under consideration allow us to determine features of p-wave holographic droplet in a constant magnetic field. The dependence of the superconducting transition temperature on the coupling constant α to the dark matter sector is affected by the dark matter density ρ D . For ρ D > ρ the transition temperature is a decreasing function of α. The critical chemical potential µ c for the quantum phase transition between insulator and metal depends on the chemical potential of dark matter µ D and for µ D = 0 is a decreasing function of α.

show abstract

Section: Jhep03(2016)215supporting

confidence: 89%

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Rogatko

Wysokiński

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…It was found that the critical exponent of the condensation in Gauss-Bonnet gravity is β = 1/2 which is consistent with mean-field theory and previous studies [17]. Other studies on the holographic superconductors in the framework of Gauss-Bonnet-AdS black holes were carried out in [18][19][20][21][22][23][24].…”

Section: Jhep04(2016)058supporting

confidence: 87%

“…It would be interesting if one could consider the Gauss-Bonnet holographic superconductor from PowerMaxwell field away from the probe limit and take the backreaction into account. One may also consider the case in which the Gauss-Bonnet coupling α is negative [46]. These issues are currently under investigation and the results will be reported subsequently.…”

Section: Discussionmentioning

confidence: 99%

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Sheykhi

Salahi

Montakhab

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We provide an analytical as well as a numerical study of the holographic s-wave superconductors in Gauss-Bonnet gravity with Power-Maxwell electrodynamics. We limit our study to the case where scalar and gauge fields do not have an effect on the background metric. We use a variational method, based on Sturm-Liouville eigenvalue problem for our analytical study, as well as a numerical shooting method in order to compare with our analytical results. Interestingly enough, we observe that unlike Born-Infeld-like nonlinear electrodynamics which decrease the critical temperature compared to the linear Maxwell field, the Power-Maxwell electrodynamics is able to increase the critical temperature of the holographic superconductors in the sublinear regime. We find that requiring the finite value for the gauge field on the asymptotic boundary r → ∞, restricts the power parameter, q, of the Power-Maxwell field to be in the range 1/2 < q < (d − 1)/2. Our study indicates that it is quite possible to make condensation easier as q decreases in its allowed range. We also find that for all values of q, the condensation can be affected by the Gauss-Bonnet coefficient α. However, the presence of the Gauss-Bonnet term makes the transition slightly harder. Finally, we obtain an analytic expression for the order parameter and thus obtain the associated critical exponent near the phase transition. We find that the critical exponent has its universal value of β = 1/2 regardless of the parameters q, α as well as dimension d, consistent with mean-field values obtained in previous studies.

show abstract

“…The AdS/CFT duality is a powerful tool for investigating strongly coupled gauge theories, the application might offer new insight into the study of strongly interacting condensed matter systems where the perturbational methods are no longer available. Therefore, much attention has been given to the studies of the AdS/CFT duality to condensed matter physics and in particular to superconductivity recently [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In these studies most of the holographically dual descriptions for a superconductor are based on a model that a simple Einstein-Maxwell theory coupled to a charged scalar.…”

Section: Introductionmentioning

confidence: 99%

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

2012

View full text Add to dashboard Cite

The behaviors of the holographic superconductors/insulator transition are studied by introducing a charged scalar field coupled with a logarithmic electromagnetic field in both the Einstein-Gauss-Bonnet AdS black hole and soliton. For the Einstein-Gauss-Bonnet AdS black hole, we find that: i) the larger coupling parameter of logarithmic electrodynamic field b makes it easier for the scalar hair to be condensated;ii) the ratio of the gap frequency in conductivity ω g to the critical temperature T c depends on both b and the Gauss-Bonnet constant α; and iii) the critical exponents are independent of the b and α. For the EinsteinGauss-Bonnet AdS Soliton, we show that the system is the insulator phase when the chemical potential µ is small, but there is a phase transition and the AdS soliton reaches the superconductor (or superfluid) phase when µ larger than critical chemical potential. A special property should be noted is that the critical chemical potential is not changed by the coupling parameter b but depends on α.

show abstract

Holographic p-wave superconductors from Gauss-Bonnet gravity

Cited by 118 publications

References 75 publications

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

P-wave holographic superconductor/insulator phase transitions affected by dark matter sector

Analytical and numerical study of Gauss-Bonnet holographic superconductors with Power-Maxwell field

Holographic superconductor/insulator transition with logarithmic electromagnetic field in Gauss–Bonnet gravity

Contact Info

Product

Resources

About