Influence of uniaxial and hydrostatic pressures and shear stress $\sigma_{5}$ on the phase transition and thermodynamic properties of quasi-one-dimensional ferroelectrics of the CsH$_2$PO$_4$ type

2020;
: pp. 64–78
https://doi.org/10.23939/mmc2020.01.064
Received: November 10, 2019
Revised: January 12, 2020
Accepted: January 13, 2020

Mathematical Modeling and Computing, Vol. 7, No. 1, pp. 64–78 (2020)

1
Institute for Condensed Matter Physics
2
Lviv Polytechnic National University
3
Institute for Condensed Matter Physics
4
Institute for Condensed Matter Physics

Within the framework of the modified proton ordering model for the quasi-one-dimensional hydrogen bonded ferroelectrics of the CsH2PO4 type with taking into account the linear in the strains  ε1, ε2, ε3, and ε5 contributions into the energy of the proton subsystem, without tunneling, using the two-particle cluster approximation, we study the influence of uniaxial pressures pi, hydrostatic pressure ph, and shear stress σ5 on the phase transition, polarization, transverse dielectric permittivity, elastic constants and piezoelectric coefficients of the quasi-one-dimensional CsH2PO4 ferroelectric crystals.

  1. Yasuda N., Okamoto M., Shimizu H., Fujimoto S., Yoshino K., Inuishi Y.  Pressure-induced antiferroelectricity in ferroelectric CsH2PO4.  Phys. Rev. Lett. 1, 1311–1314 (1978).
  2. Yasuda N., Fujimoto S., Okamoto M., Shimizu H., Yoshino K., Inuishi Y.  Pressure and temperature dependence of the dielectric properties of CsH2PO4 and CsH2PO4.  Phys. Rev. B. 20, 2755–2764 (1979).
  3. Schuele P. J., Thomas R. A.  A structural study of the high-pressure antiferroelectric phase of CsH2PO4.  Japanese Journal of Applied Physics. 24 (S2), 935, (1985).
  4. Marchon D., Novak A.  Antiferroelectric Fluctuations in CsH2PO4 and Raman Spectroscopy.  Ferroelectrics. 55 (1), 55–58 (1984).
  5. Brandt N. B., Zhukov S. G., Kulbachinskii V. A., Smirnov P. S., Strukov B. A.  Influence of hydrostatic pressure on the dielectric properties of CsH2PO4.  Phys. Solid State. 28, 3159 (1986), (in Russian).
  6. Kobayashi Yu., Deguchi K., Azuma Sh., Suzuki E., Ming Li Ch., Endo Sh., Kikegawad T.  Phase Transitions in CsH2PO4 Under High Pressure.  Ferroelectrics. 285 (1), 83–89 (2003).
  7. Magome E., Tomiaka S., Tao Y., Komukae M.  Pressure Effect on Phase Transition in Partially Deuterated Cs(H1xDx)2PO4.  J. Phys. Soc. Jpn. 79 (2),  025002 (2010).
  8. Gesi K., Ozawa K.  Effect of hydrostatic pressure on the ferroelectric phase transitions in CsH2PO4 and CsH2PO4.  Japanese Journal of Applied Physics. 17 (2), 435–436 (1978).
  9. Blinc R.,Baretto F. C. Sa.  Ferroelectric and antiferroelectric dynamics of pseudo-one-dimensional CsH2PO4.  J. Chem. Phys. 72 (11), 6031–6034 (1980).
  10. Stasyuk I. V., Levitskii R. R., Zachek I. R., Shchur Ya. J., Kutny I. V., Myts Ye. V.  Influence of hydrostatic pressure on the phase transition, thermodynamic and dynamic properties of quasi-one-dimensional ferroelecric compounds with hydrogen bonds.  Preprint ICMP, Ac.~Sci UkrSSR, ICMP-91-4R (1991), (in Russian).
  11. Stasyuk I. V., Biletskii I. N.  On the influence of hydrostatic and uniaxial stress on the ferroelectric phase transition in the KH2PO4 crystals.  Bull. Ac. Sci. USSR, Phys. Ser. 4, 705 (1983), (in Russian).
  12. Braeter H., Plakida N. M., Windseh W.  On the pressure dependence of the phase transition temperature in hydrogen-bonded ferroelectrics.  Solid State Communications. 69 (3), 289–292 (1989).
  13. Zachek I. R., Levitsky R. R., Vdovych A. S.  Longitudinal static dielectric, piezoelectric, elastic, dynamic and thermal properties of quasi-one-dimensional CsH2PO4 type ferroelectrics with hydrogen bonds.  Preprint ICMP-11-17U, Lviv (2011).
  14. Levitskii R. R., Zachek I. R., Vdovych A. S.  Longitudinal Static Dielectric, Piezoelectric Elastic And Thermal Properties of Quasi-One-Dimensional CsH2PO4 Type Ferroelectrics.  Phys. Chem. Solid St. 13 (1), 40–47 (2012).
  15. Deguchi K.,  Okaue E.,  Ushio S.,  Nakamura E.,  Abe K.  Dilatometric Study of the Phase Transition of Quasi-One-Dimensional Ferroelectric CsH2PO4.  J. Phys. Soc. Jpn. 53, 3074–3080 (1984).
  16. Van Troeye B., van Setten M. J., Giantomassi M., Torrent M., Rignanese G.-Ma., Gonze X.  First-principles study of paraelectric and ferroelectric CsH2PO4 including dispersion forces: Stability and related vibrational, dielectric, and elastic properties.  Phys. Rev. B. 95 (2), 024112 (2017).
  17. Stasyuk I. V., Levitskii R. R., Korinevskii N. A.  Collective vibrations of protons in compounds of KH2PO4-type. The cluster approximation.  Phys. Stat. Sol. (b).  91 (2), 541–550 (1979).
  18. Praver S., Smith T. F., Finlaypon T. R.  The Room Temperature Plastic Behaviour of CsH2PO4.  Aust. J. Phys. 38 (1), 63–84 (1985).