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Holographic s-wave superconductors with conformal anomaly correction

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Abstract

We build a holographic s-wave conductor/superconductor model and an insulator/superconductor model in the four-dimensional conformal anomaly corrected (CAC) AdS gravity. The effects of CAC parameter \(\alpha \) are studied using both numerical and analytical methods in the probe approximation. Concretely, when the CAC parameter increases, the critical temperature increases for the conductor/superconductor phase transition, while the critical chemical potential decreases for the insulator/superconductor case, which suggests that the increasing CAC parameter enhances both superconducting phase transitions. Meanwhile, below the critical temperature or beyond the critical chemical potential, the scalar hair begins to condense, and the condensed phases are found to be thermodynamically stable. The critical behaviors obtained from numerics are confirmed by our analytical analysis. In addition, the energy gap in the conductor/superconductor model decreases monotonically with the increasing CAC parameter.

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Notes

  1. It should be noted that the range of the CAC parameter \(\alpha \) is insufficiently rigorous. Nonetheless, the following calculation will show that the results are self-consistent from numerical and analytical methods, especially, our model satisfies the requirement in Ref. [72] that the real part of conductivity is always positive.

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Acknowledgements

We would like to thank Prof. L. Li for his helpful discussions and comments. This work is supported in part by NSFC (Nos. 11865012, 12075109, 12075143, 11647167 and 11747615), Foundation of Guizhou Educational Committee(Nos. Qianjiaohe KY Zi [2016]311 Zi), Foundation of Scientific Innovative Research Team of Education Department of Guizhou Province (QNYSKYTD2018002), Program for the Natural Science Foundation of Shanxi Province, China(Grant No.201901D111315) and the Natural Science Foundation for Young Scientists of Shanxi Province,China (Grant No.201901D211441).

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Authors and Affiliations

  1. School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun, 558000, People’s Republic of China

    Jun-Wang Lu

  2. CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, People’s Republic of China

    Jun-Wang Lu

  3. Department of Physics, Shanxi Datong University, Datong, 037009, People’s Republic of China

    Huai-Fan Li

  4. Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China

    Ya-Bo Wu

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Lu, JW., Li, HF. & Wu, YB. Holographic s-wave superconductors with conformal anomaly correction. Eur. Phys. J. Plus 135, 903 (2020). https://doi.org/10.1140/epjp/s13360-020-00931-6

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