Analytical computation of critical exponents in several holographic superconductors

Zeng, Hua-Bi; Gao, Xin; Jiang, Yu; Zong, Hong-Shi

doi:10.1007/jhep05(2011)002

Cited by 66 publications

(48 citation statements)

References 38 publications

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“…[43]. It should be noted that this assumption works well in most cases [44,45,[63][64][65][66][67][68][69][70][71][72][73][74][75][76]. Unfortunately, using this trial function in our case, we find that the analytical results are not in agreement with the numerical calculation and some important information is missing.…”

Section: Analytical Understandingmentioning

confidence: 82%

Revisiting holographic superconductors with hyperscaling violation

Pan

Zhang

2016

Eur. Phys. J. C

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We investigate the effect of the hyperscaling violation on the holographic superconductors. In the s-wave model, we find that the critical temperature decreases first and then increases as the hyperscaling violation increases, and the mass of the scalar field will not modify the value of the hyperscaling violation which gives the minimum critical temperature. We analytically confirm the numerical results by using the Sturm-Liouville method with the higher order trial function and improve the previous findings in Fan (J High Energy Phys 09:048, 2013). However, different from the swave case, we note that the critical temperature decreases with the increase of the hyperscaling violation in the p-wave model. In addition, we observe that the hyperscaling violation affects the conductivity of the holographic superconductors and changes the expected relation in the gap frequency in both s-wave and p-wave models.

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Section: Analytical Understandingmentioning

confidence: 82%

Revisiting holographic superconductors with hyperscaling violation

Pan

Zhang

2016

Eur. Phys. J. C

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“…This holographic model undergoes a phase transition from black hole with no hair (normal phase/conductor phase) to the case with scalar hair at low temperatures (superconducting phase). Various aspects of the holographic superconductors have been explored from different perspective [7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Sheykhi

Shamsi

2016

Int J Theor Phys

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Based on the matching method, we explore the effects of adding an external magnetic field on the s-wave holographic superconductor when the gauge field is in the form of the logarithmic nonlinear source. First, we obtain the critical temperature as well as the condensation operator in the presence of logarithmic nonlinear electrodynamics and understand that they depend on the nonlinear parameter b. We show that the critical temperature decreases with increasing b, which implies that the nonlinear gauge field makes the condensation harder. Then, we turn on the magnetic field in the bulk and find the critical magnetic field, B c , in terms of the temperature, which also depends on the nonlinear parameter b. We observe that for temperature smaller than the critical temperature, T < T c , the critical magnetic field increases with increasing b and goes to zero as T → T c , independent of the nonlinear parameter b. In the limiting case where b → 0, all results restore those of the holographic superconductor with magnetic field in Maxwell theory.

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“…A number of studies have been carried out on various holographic superconductor models based on the framework of Maxwell electrodynamics [14][15][16][17][18][19][20][21][22][23][24][25][26] as well as non-linear electrodynamics [27][28][29][30][31][32][33][34], namely, Born-Infeld electrodynamics [27]. For example, in [14], a holographic dual description of a superconductor had been provided via a second order phase transition in which the condensate determined the energy gap formed due to frequency dependent conductivity below a critical temperature.…”

Section: Introductionmentioning

confidence: 99%

Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction

Ghorai

Gangopadhyay

2016

Eur. Phys. J. C

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In this paper, we analytically investigate the properties of holographic superconductors in higher dimensions in the framework of Born-Infeld electrodynamics taking into account the back-reaction of the spacetime using the Sturm-Liouville eigenvalue method. In the background of pure Einstein and Gauss-Bonnet gravity, based on a perturbative approach, we obtain the relation between the critical temperature and the charge density. Higher values of the back-reaction and Born-Infeld parameters result in a harder condensation to form in both cases. The analytical results are found to agree with the existing numerical results. We also derive an expression for the condensation operator in d dimensions which yields a critical exponent of 1/2.

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Analytical computation of critical exponents in several holographic superconductors

Cited by 66 publications

References 38 publications

Revisiting holographic superconductors with hyperscaling violation

Revisiting holographic superconductors with hyperscaling violation

Holographic Superconductors with Logarithmic Nonlinear Electrodynamics in an External Magnetic Field

Higher dimensional holographic superconductors in Born–Infeld electrodynamics with back-reaction

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