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  • Matters Arising
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Reply to: Re-examining magnetic tuning of Casimir forces

Nature Physics volume 21, pages 522–523 (2025)Cite this article

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The Original Article was published on 01 April 2025

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replying to M. Moazzami Gudarzi and S. H. Aboutalebi Nature Physics https://doi.org/10.1038/s41567-025-02845-5 (2025)

In their Matters Arising, Moazzami Gudarzi and Aboutalebi1 first highlight the inaccurate dielectric functions of water and Fe3O4 used in our Lifshitz theory calculations1. Upon careful re-examination, we discovered that our representation of \(\varepsilon_{{{{\rm{Fe}}_{3}}}{{\rm{O}}}_{4}}(i\xi)\) (where \(\varepsilon_{{{{\rm{Fe}}_{3}}}{{\rm{O}}}_{4}}\) is the dielectric permittivity of Fe3O4, i is the imaginary unit and ξ is the Matsubara frequency) was based on a mistyped equation (equation (9)) from ref. 2:

$${I}_{3}\left(\xi\,\right)=\frac{C{\varOmega }_{2}^{2}}{{\xi }^{\,2}}\left[1+\frac{{\varOmega }_{2}}{\xi }\arctan \frac{{\varOmega }_{2}}{\xi }-\frac{\uppi }{2}\right],$$

where I3 is a part of Kramers–Kronig relation, C = 1.58 and Ω2 = 1.8 × 106 rad/s. The correct equation should read:

$${I}_{3}\left(\xi\,\right)=\frac{C{\varOmega }_{2}^{2}}{{\xi }^{2}}\left[1+\frac{{\varOmega }_{2}}{\xi }\arctan \frac{{\varOmega }_{2}}{\xi }-\frac{{{{\uppi }}\varOmega }_{2}}{2\xi }\right].$$

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Fig. 1: Recalculation of the Casimir force using corrected dielectric functions for Fe3O4 and H2O.

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All relevant processed data are available from the corresponding authors upon reasonable request.

References

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Authors and Affiliations

  1. CAS Key Laboratory of Strongly-Coupled Quantum Matter Physics and Department of Physics, University of Science and Technology of China, Hefei, China

    Yichi Zhang, Hui Zhang, Yiheng Wang, Tianyi Ruan, Yuchen Liu, Shu Li, Tianyi Zhang, Chuang Fan & Changgan Zeng

  2. International Center for Quantum Design of Functional Materials (ICQD), Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China, Hefei, China

    Yichi Zhang, Hui Zhang, Yiheng Wang, Tianyi Ruan, Yuchen Liu, Shu Li, Tianyi Zhang, Chuang Fan & Changgan Zeng

  3. The School of the Gifted Young, University of Science and Technology of China, Hefei, China

    Yichi Zhang, Yiheng Wang, Tianyi Ruan, Yuchen Liu, Shu Li & Chuang Fan

  4. Hefei National Laboratory, Hefei, China

    Hui Zhang & Changgan Zeng

  5. Center for Micro-and Nanoscale Research and Fabrication, University of Science and Technology of China, Hefei, China

    Xiuxia Wang

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Contributions

C.Z. and H.Z. designed and supervised the work. Y.Z. performed the theoretical calculation and analysis. C.Z., Y.Z. and H.Z. analysed the data and wrote the paper with assistance from Y.W. All authors contributed to the scientific discussion and paper revisions.

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Correspondence to Hui Zhang or Changgan Zeng.

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Zhang, Y., Zhang, H., Wang, X. et al. Reply to: Re-examining magnetic tuning of Casimir forces. Nat. Phys. 21, 522–523 (2025). https://doi.org/10.1038/s41567-025-02846-4

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