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Superfluid λ transition in charged AdS black holes

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Abstract

We observe a superfluid λ transition in the P-V criticality of charged AdS black holes, within a holographic extended thermodynamics that considers the variation of Newton’s constant G. We calculate the critical exponents and find that they coincide with those of a superfluid transition in liquid 4He and the Bose-Einstein condensation of hard-sphere Bose gas. Moreover, the independence of entropy and thermodynamic volume in the holographic framework allows us to construct a well-defined Ruppeiner metric. The associated scalar curvature suggests that the black holes show similar microscopic interactions with the hard-sphere Bose gas, where the superfluid (condensed) phase is dominated by repulsive interactions, while the normal (gas) phase is dominated by attractive interactions. These findings might provide us with new insights into the quantum aspect of charged AdS black holes.

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Authors and Affiliations

  1. Center for Theoretical Physics, College of Physics, Sichuan University, Chengdu, 610065, China

    Ning-Chen Bai & Jun Tao

  2. School of Physics and Electronic Engineering, Sichuan University of Science and Engineering, Yibin, 643000, China

    Lei Li

Authors
  1. Ning-Chen Bai
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  2. Lei Li
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  3. Jun Tao
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Correspondence to Ning-Chen Bai, Lei Li or Jun Tao.

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Conflict of interest The authors declare that they have no conflict of interest.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 12275183, 12275184, 12105191, and 12175212). We are grateful to Robert B. Mann, Xiuming Zhang and Yan He for useful discussions and valuable comments.

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Bai, NC., Li, L. & Tao, J. Superfluid λ transition in charged AdS black holes. Sci. China Phys. Mech. Astron. 66, 120411 (2023). https://doi.org/10.1007/s11433-023-2203-5

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