Holographic Superconductors: An Analytic Method Revisit

Chang, En-Jui; Chou, Chia-Jui; Yang, Yi

doi:10.48550/arxiv.1812.04288

Cited by 1 publication

(2 citation statements)

References 52 publications

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“…Since the introduction of HD term, which complicates the EOM, we cannot analytically obtain the conductivity as the function of ω at T → as [29]. In future, we can seek new methods to do this thing.…”

Section: The Conductivity At Low Temperature Regionmentioning

confidence: 99%

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Analytical Study of the Holographic Superconductor from Higher Derivative Theory

Wang

Zhang

et al. 2020

Advances in High Energy Physics

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In this paper, we analytically study the holographic superconductor models with the high derivative (HD) coupling terms. Using the Sturm-Liouville (S-L) eigenvalue method, we perturbatively calculate the critical temperature. The analytical results are in good agreement with the numerical results. It confirms that the perturbative method in terms of the HD coupling parameters is available. Along the same line, we analytically calculate the value of the condensation near the critical temperature. We find that the phase transition is second order with mean field behavior, which is independent of the HD coupling parameters. Then in the low temperature limit, we also calculate the conductivity, which is qualitatively consistent with the numerical one. We find that the superconducting energy gap is proportional to the value of the condensation. But we note that since the condensation changes with the HD coupling parameters, as the function of the HD coupling parameters, the superconducting energy gap follows the same change trend as that of the condensation. *

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Section: The Conductivity At Low Temperature Regionmentioning

confidence: 99%

“…To back up the numerical results and especially explore the mechanism behind these phenomena, we can resort to the analytical methods. Analytical matching method is developed in [23,24,[27][28][29] to calculate the critical temperature and critical magnetic field. But the validity depends on the choice of the matching point.…”

Section: Introductionmentioning

confidence: 99%

Analytical Study of the Holographic Superconductor from Higher Derivative Theory

Wang

Zhang

et al. 2020

Advances in High Energy Physics

View full text Add to dashboard Cite

show abstract

Holographic Superconductors: An Analytic Method Revisit

Cited by 1 publication

References 52 publications

Analytical Study of the Holographic Superconductor from Higher Derivative Theory

Analytical Study of the Holographic Superconductor from Higher Derivative Theory

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