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Holographic insulator/superconductor phase transitions with excited states

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Abstract

We construct a family of solutions of the holographic insulator/superconductor phase transitions with the excited states in the AdS soliton background by using both the numerical and analytical methods. The interesting point is that the improved Sturm-Liouville method can not only analytically investigate the properties of the phase transition with the excited states, but also the distributions of the condensed fields in the vicinity of the critical point. We observe that, regardless of the type of the holographic model, the excited state has a higher critical chemical potential than the corresponding ground state, and the difference of the dimensionless critical chemical potential between the consecutive states is around 2.4, which is different from the finding of the metal/superconductor phase transition in the AdS black hole background. Furthermore, near the critical point, we find that the phase transition of the systems is of the second order and a linear relationship exists between the charge density and chemical potential for all the excited states in both s-wave and p-wave insulator/superconductor models.

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Authors and Affiliations

  1. Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Synergetic Innovation Center for Quantum Effects and Applications, and Department of Physics, Hunan Normal University, Changsha, 410081, China

    Liang OuYang, Dong Wang, XiongYing Qiao, MengJie Wang, QiYuan Pan & JiLiang Jing

  2. Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou, 225009, China

    QiYuan Pan & JiLiang Jing

Authors
  1. Liang OuYang
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  2. Dong Wang
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  3. XiongYing Qiao
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  5. QiYuan Pan
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  6. JiLiang Jing
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Correspondence to QiYuan Pan.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11775076, 11875025, 11705054, 12035005, and 11690034), and the Hunan Provincial Natural Science Foundation of China (Grant Nos. 2018JJ3326, and 2016JJ1012). We thank Professor Yong-Qiang Wang for his helpful discussions and suggestions.

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OuYang, L., Wang, D., Qiao, X. et al. Holographic insulator/superconductor phase transitions with excited states. Sci. China Phys. Mech. Astron. 64, 240411 (2021). https://doi.org/10.1007/s11433-020-1658-9

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