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  • Featured in Physics
  • Open Access

Geomagnetic Constraints on Millicharged Dark Matter

Ariel Arza1,2,*, Yuanlin Gong1,3,*, Jing Shu4,5,6,†, Lei Wu1,2,‡, Qiang Yuan3,7,§, and Bin Zhu8,∥

  • 1Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210023, China
  • 2Nanjing Key Laboratory of Particle Physics and Astrophysics, Nanjing 210023, China
  • 3Key Laboratory of Dark Matter and Space Astronomy, Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210023, China
  • 4School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 5Center for High Energy Physics, Peking University, Beijing 100871, China
  • 6Beijing Laser Acceleration Innovation Center, Huairou, Beijing 101400, China
  • 7School of Astronomy and Space Science, University of Science and Technology of China, Hefei 230026, China
  • 8School of Physics, Yantai University, Yantai 264005, China

  • *These authors contributed equally to this work.
  • †Contact author: jshu@pku.edu.cn
  • ‡Contact author: leiwu@njnu.edu.cn
  • §Contact author: yuanq@pmo.ac.cn
  • ∥Contact author: zhubin@mail.nankai.edu.cn

Phys. Rev. Lett. 136, 041001 – Published 27 January, 2026

DOI: https://doi.org/10.1103/8xqd-dbrz

Abstract

Millicharged particles are well-motivated dark matter candidates arising in many extensions of the standard model. We show that, despite their tiny coupling em to photons, millicharged dark matter (mDM) in the Earth’s geomagnetic field can generate a quasistatic, monochromatic magnetic signal with angular frequency twice the mDM mass. Using null results from the SuperMAG and SNIPE Hunt collaborations, we constrain the effective charge of bosonic mDM in the mass range 10−18−10−14  eV. The resulting upper bounds exceed stellar cooling constraints by over 13 orders of magnitude, demonstrating the power of this method.

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Physics Subject Headings (PhySH)

synopsis

Earth’s Magnetic Field as Dark-Matter Sensor

Published 27 January, 2026

Dark matter having a small electric charge would presumably generate a magnetic-field variation on Earth’s surface, but observations find no such signal.

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References (94)

  1. S. Dimopoulos, D. Eichler, R. Esmailzadeh, and G. D. Starkman, Phys. Rev. D 41, 2388 (1990).
  2. A. De Rujula, S. L. Glashow, and U. Sarid, Nucl. Phys. B333, 173 (1990).
  3. D. Feldman, Z. Liu, and P. Nath, Phys. Rev. D 75, 115001 (2007).
  4. S. D. McDermott, H.-B. Yu, and K. M. Zurek, Phys. Rev. D 83, 063509 (2011).
  5. J. M. Cline, Z. Liu, and W. Xue, Phys. Rev. D 85, 101302 (2012).
  6. B. Holdom, Phys. Lett. 166B, 196 (1986).
  7. H. Goldberg and L. J. Hall, Phys. Lett. B 174, 151 (1986).
  8. E. Izaguirre and I. Yavin, Phys. Rev. D 92, 035014 (2015).
  9. K. Cheung and T.-C. Yuan, J. High Energy Phys. 03 (2007) 120.
  10. W.-Z. Feng, Z.-H. Zhang, and K.-Y. Zhang, J. Cosmol. Astropart. Phys. 05 (2024) 112.
  11. X.-G. Wen and E. Witten, Nucl. Phys. B261, 651 (1985).
  12. G. Shiu, P. Soler, and F. Ye, Phys. Rev. Lett. 110, 241304 (2013).
  13. W.-Z. Feng, G. Shiu, P. Soler, and F. Ye, Phys. Rev. Lett. 113, 061802 (2014).
  14. C. P. Burgess, J. P. Conlon, L.-Y. Hung, C. H. Kom, A. Maharana, and F. Quevedo, J. High Energy Phys. 07 (2008) 073.
  15. M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, J. High Energy Phys. 11 (2009) 027.
  16. M. Cicoli, M. Goodsell, J. Jaeckel, and A. Ringwald, J. High Energy Phys. 07 (2011) 114.
  17. J. C. Pati and A. Salam, Phys. Rev. D 8, 1240 (1973).
  18. H. Georgi, AIP Conf. Proc. 23, 575 (1975).
  19. J. Preskill, Annu. Rev. Nucl. Part. Sci. 34, 461 (1984).
  20. L. J. Hall, K. Jedamzik, J. March-Russell, and S. M. West, J. High Energy Phys. 03 (2010) 080.
  21. C. Dvorkin, T. Lin, and K. Schutz, Phys. Rev. D 99, 115009 (2019); 105, 119901(E) (2022).
  22. P. N. Bhattiprolu, R. McGehee, and A. Pierce, Phys. Rev. D 110, L031702 (2024).
  23. P. N. Bhattiprolu, R. McGehee, E. Petrosky, and A. Pierce, Phys. Rev. D 111, 035027 (2025).
  24. R. Essig, J. Mardon, and T. Volansky, Phys. Rev. D 85, 076007 (2012).
  25. X. Chu, T. Hambye, and M. H. G. Tytgat, J. Cosmol. Astropart. Phys. 05 (2012) 034.
  26. J. Preskill, M. B. Wise, and F. Wilczek, Phys. Lett. 120B, 127 (1983).
  27. L. F. Abbott and P. Sikivie, Phys. Lett. 120B, 133 (1983).
  28. M. Dine and W. Fischler, Phys. Lett. 120B, 137 (1983).
  29. A. E. Nelson and J. Scholtz, Phys. Rev. D 84, 103501 (2011).
  30. P. Arias, D. Cadamuro, M. Goodsell, J. Jaeckel, J. Redondo, and A. Ringwald, J. Cosmol. Astropart. Phys. 06 (2012) 013.
  31. G. Alonso-Álvarez, J. Gehrlein, J. Jaeckel, and S. Schenk, J. Cosmol. Astropart. Phys. 09 (2019) 003.
  32. J. Jaeckel and S. Schenk, Phys. Rev. D 103, 103523 (2021).
  33. W. Hu, R. Barkana, and A. Gruzinov, Phys. Rev. Lett. 85, 1158 (2000).
  34. L. Hui, J. P. Ostriker, S. Tremaine, and E. Witten, Phys. Rev. D 95, 043541 (2017).
  35. E. G. M. Ferreira, Astron. Astrophys. Rev. 29, 7 (2021).
  36. J. B. Muñoz and A. Loeb, Nature (London) 557, 684 (2018).
  37. A. Berlin, D. Hooper, G. Krnjaic, and S. D. McDermott, Phys. Rev. Lett. 121, 011102 (2018).
  38. T. R. Slatyer and C.-L. Wu, Phys. Rev. D 98, 023013 (2018).
  39. E. D. Kovetz, V. Poulin, V. Gluscevic, K. K. Boddy, R. Barkana, and M. Kamionkowski, Phys. Rev. D 98, 103529 (2018).
  40. H. Liu, N. J. Outmezguine, D. Redigolo, and T. Volansky, Phys. Rev. D 100, 123011 (2019).
  41. H. Gies, J. Jaeckel, and A. Ringwald, Europhys. Lett. 76, 794 (2006).
  42. A. Berlin and A. Hook, Phys. Rev. D 102, 035010 (2020).
  43. A. Romanenko et al., Phys. Rev. Lett. 130, 261801 (2023).
  44. A. Badertscher, P. Crivelli, W. Fetscher, U. Gendotti, S. Gninenko, V. Postoev, A. Rubbia, V. Samoylenko, and D. Sillou, Phys. Rev. D 75, 032004 (2007).
  45. M. Gluck, S. Rakshit, and E. Reya, Phys. Rev. D 76, 091701 (2007).
  46. H. Gies, J. Jaeckel, and A. Ringwald, Phys. Rev. Lett. 97, 140402 (2006).
  47. M. Ahlers, H. Gies, J. Jaeckel, J. Redondo, and A. Ringwald, Phys. Rev. D 77, 095001 (2008).
  48. F. Della Valle, E. Milotti, A. Ejlli, G. Messineo, L. Piemontese, G. Zavattini, U. Gastaldi, R. Pengo, and G. Ruoso, Phys. Rev. D 90, 092003 (2014).
  49. F. Della Valle, A. Ejlli, U. Gastaldi, G. Messineo, E. Milotti, R. Pengo, G. Ruoso, and G. Zavattini, Eur. Phys. J. C 76, 24 (2016).
  50. J. Jaeckel, Phys. Rev. Lett. 103, 080402 (2009).
  51. A. Caputo, L. Sberna, M. Frias, D. Blas, P. Pani, L. Shao, and W. Yan, Phys. Rev. D 100, 063515 (2019).
  52. A constraint from photon time delay of pulsars induced by millicharged particle (to be published).

  53. A. Berlin, R. Harnik, Y.-Y. Li, and B. Xu, arXiv:2404.16094.
  54. A. Berlin, R. T. D’Agnolo, S. A. R. Ellis, P. Schuster, and N. Toro, Phys. Rev. Lett. 124, 011801 (2020).
  55. A. Berlin and K. Schutz, Phys. Rev. D 105, 095012 (2022).
  56. A. Berlin, R. Tito D’Agnolo, S. A. R. Ellis, and J. I. Radkovski, J. High Energy Phys. 08 (2023) 017.
  57. R. N. Mohapatra and I. Z. Rothstein, Phys. Lett. B 247, 593 (1990).
  58. J. H. Chang, R. Essig, and S. D. McDermott, J. High Energy Phys. 09 (2018) 051.
  59. D. F. G. Fiorillo and E. Vitagliano, Phys. Rev. Lett. 133, 251004 (2024).
  60. J. Bernstein, M. Ruderman, and G. Feinberg, Phys. Rev. 132, 1227 (1963).
  61. M. I. Dobroliubov and A. Y. Ignatiev, Phys. Rev. Lett. 65, 679 (1990).
  62. S. Davidson, B. Campbell, and D. C. Bailey, Phys. Rev. D 43, 2314 (1991).
  63. S. Davidson, S. Hannestad, and G. Raffelt, J. High Energy Phys. 05 (2000) 003.
  64. H. Vogel and J. Redondo, J. Cosmol. Astropart. Phys. 02 (2014) 029.
  65. A. Fung, S. Heeba, Q. Liu, V. Muralidharan, K. Schutz, and A. C. Vincent, Phys. Rev. D 109, 083011 (2024).
  66. A. Stebbins and G. Krnjaic, J. Cosmol. Astropart. Phys. 12 (2019) 003.
  67. S. Davidson and M. E. Peskin, Phys. Rev. D 49, 2114 (1994).
  68. A. Melchiorri, A. Polosa, and A. Strumia, Phys. Lett. B 650, 416 (2007).
  69. C. Burrage, J. Jaeckel, J. Redondo, and A. Ringwald, J. Cosmol. Astropart. Phys. 11 (2009) 002.
  70. Z. Bogorad and N. Toro, J. High Energy Phys. 07 (2022) 035.
  71. J. Jaeckel and A. Ringwald, Annu. Rev. Nucl. Part. Sci. 60, 405 (2010).
  72. M. A. Fedderke, P. W. Graham, D. F. J. Kimball, and S. Kalia, Phys. Rev. D 104, 075023 (2021).
  73. M. A. Fedderke, P. W. Graham, D. F. Jackson Kimball, and S. Kalia, Phys. Rev. D 104, 095032 (2021).
  74. A. Arza, M. A. Fedderke, P. W. Graham, D. F. J. Kimball, and S. Kalia, Phys. Rev. D 105, 095007 (2022).
  75. M. Friel, J. W. Gjerloev, S. Kalia, and A. Zamora, Phys. Rev. D 110, 115036 (2024).
  76. I. A. Sulai et al., Phys. Rev. D 108, 096026 (2023).
  77. Recent studies [78, 79] have calculated the transition probability between ultralight dark matter and photons using quantum field theory, consistent with earlier results from classical Maxwell equations. For convenience, we derive the induced electromagnetic signal from the modified classical Maxwell equations.

  78. A. N. Ioannisian, N. Kazarian, A. J. Millar, and G. G. Raffelt, J. Cosmol. Astropart. Phys. 09 (2017) 005.
  79. M. Beutter, A. Pargner, T. Schwetz, and E. Todarello, J. Cosmol. Astropart. Phys. 02 (2019) 026.
  80. https://lib-extopc.kek.jp/preprints/PDF/2000/0032/0032443.pdf.
  81. See Supplemental Material at http://link.aps.org/supplemental/10.1103/8xqd-dbrz for detailed calculations for the conversion of mDM into magnetic signals in the Earth’s geomagnetic field.
  82. P. Sikivie, N. Sullivan, and D. B. Tanner, Phys. Rev. Lett. 112, 131301 (2014).
  83. L. Brouwer et al. (DMRadio Collaboration), Phys. Rev. D 106, 103008 (2022).
  84. P. Arias, A. Arza, B. Döbrich, J. Gamboa, and F. Méndez, Eur. Phys. J. C 75, 310 (2015).
  85. P. Alken, E. Thébault, C. D. Beggan, H. Amit, J. Aubert, J. Baerenzung, T. Bondar, W. Brown, S. Califf, A. Chambodut et al., Earth, Planets Space 73, 1 (2021).
  86. G. A. Glatzmaier and P. H. Roberts, Phys. Earth Planet. Inter. 91, 63 (1995).
  87. G. A. Glatzmaiers and P. H. Roberts, Nature (London) 377, 203 (1995).
  88. C. G. Constable and S. C. Constable, Satellite magnetic field measurements: Applications in studying the deep earth, in The State of the Planet: Frontiers and Challenges in Geophysics (American Geophysical Union, 2004), pp. 147–159.
  89. G. Bevilacqua, V. Biancalana, P. Chessa, and Y. Dancheva, Appl. Phys. B 122, 103 (2016).
  90. G. Oelsner, R. IJsselsteijn, T. Scholtes, A. Krüger, V. Schultze, G. Seyffert, G. Werner, M. Jäger, A. Chwala, and R. Stolz, Phys. Rev. Appl. 17, 024034 (2022).
  91. G. Chatzidrosos, A. Wickenbrock, L. Bougas, N. Leefer, T. Wu, K. Jensen, Y. Dumeige, and D. Budker, Phys. Rev. Appl. 8, 044019 (2017).
  92. A. T. Younesi, M. Omar, A. Wickenbrock, D. Budker, and R. Ulbricht, Phys. Rev. Appl. 23, 054019 (2025).
  93. I. M. Bloch and S. Kalia, J. High Energy Phys. 01 (2024) 178.
  94. Private communications with SNIPE Hunt collaboration.

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