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

Within the framework of the modified proton ordering model for the quasi-one-dimensional hydrogen bonded ferroelectrics of the CsH$_2$PO$_4$ type with taking into account the linear in the strains  $\varepsilon_1$, $\varepsilon_2$, $\varepsilon_3$, and $\varepsilon_5$ contributions into the energy of the proton subsystem, without tunneling, using the two-particle cluster approximation, we study the influence of uniaxial pressures $p_{i}$, hydrostatic pressure $p_{h}$, and shear stress $\sigma_{5}$ on the phase transition, polarization, transverse dielectric permittivity, elastic constants and piezoelectric coefficients of the quasi-one-dimensional CsH$_2$PO$_4$ ferroelectric crystals.

  1. Yasuda N., Okamoto M., Shimizu H., Fujimoto S., Yoshino K., Inuishi Y.  Pressure-induced antiferroelectricity in ferroelectric CsH$_2$PO$_4$.  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 CsH$_2$PO$_4$ and CsH$_2$PO$_4$.  Phys. Rev. B. 20, 2755–2764 (1979).
  3. Schuele P. J., Thomas R. A.  A structural study of the high-pressure antiferroelectric phase of CsH$_2$PO$_4$.  Japanese Journal of Applied Physics. 24 (S2), 935, (1985).
  4. Marchon D., Novak A.  Antiferroelectric Fluctuations in CsH$_2$PO$_4$ 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 CsH$_2$PO$_4$.  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 CsH$_2$PO$_4$ 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(H$_{1-x}$D$_x)_2$PO$_4$.  J. Phys. Soc. Jpn. 79 (2),  025002 (2010).
  8. Gesi K., Ozawa K.  Effect of hydrostatic pressure on the ferroelectric phase transitions in CsH$_2$PO$_4$ and CsH$_2$PO$_4$.  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 CsH$_2$PO$_4$.  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 KH$_2$PO$_4$ 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 CsH$_2$PO$_4$ 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 CsH$_2$PO$_4$ 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 CsH$_2$PO$_4$.  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 CsH$_2$PO$_4$ 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 KH$_{2}$PO$_{4}$-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 CsH$_2$PO$_4$.  Aust. J. Phys. 38 (1), 63–84 (1985).