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A General Holographic Superconductor Model with Non-Negative Scalar Mass

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Abstract

We study a general holographic superconductor model in four dimensional AdS back hole background. We explore the properties of the phase transitions in the scalar condensation and conclude the correspondence of a lower critical temperature with a deeper condensation gap holds with various scalar field mass above zero. We also examine the effects of the model parameters on the phase transition and find that this model allows first order phase transitions to occur with non-negative scalar mass when the model parameter is above a threshold value. Finally, we study the effects of the backreaction and scalar mass on the threshold model parameters.

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Acknowledgments

This work was supported in part by the National Natural Science Foundation of China under Grant No. 11305097 and 11401357, the education department of Shaanxi province of China under Grant No. 2013JK0616 and the Foundation of Shaaxi University of Technology of China under Grant No. SLGQD13-23.

Conflict of interests

The authors declared that they have no conflicts of interest to this work.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, Shaanxi, 723000, People’s Republic of China

    Yan Peng, Fang-an Deng, Longquan Yong & Guohua Liu

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  1. Yan Peng
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  2. Fang-an Deng
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  3. Longquan Yong
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  4. Guohua Liu
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Correspondence to Yan Peng.

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Peng, Y., Deng, Fa., Yong, L. et al. A General Holographic Superconductor Model with Non-Negative Scalar Mass. Int J Theor Phys 55, 361–366 (2016). https://doi.org/10.1007/s10773-015-2666-3

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  • DOI: https://doi.org/10.1007/s10773-015-2666-3

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