Ukrainian Journal of Physical Optics 

Home page
 
 

Other articles 

in this issue
Comparison of critical fluctuations in Sn2P2S6 and Sn2P2(Se0.28S0.72)6 crystals
Download this article

Dzyubanski V., Shopa R., Kushnir O. and Vlokh R.

We report on the quantitative parameters of fluctuation effects observed in the birefringence and linear thermal expansion of Sn2P2(SexS1-x)6 crystals with x = 0 and 0.28. These parameters, including the Ginzburg number that governs the temperature width of the scaling region, are found to be of the same order of magnitude. The relevant implications concerned with the influence of structural defects and multicritical points on the phase diagram are discussed.

Keywords: Sn2P2(SexS1-x)6 crystals, phase transitions, critical fluctuations, multicritical points

PACS: 77.80.Bh, 77.84.Bw, 64.60.Kw, 61.72.Hh, 78.20.Fm, 65.70.+y
UDC: 535.5, 548.0
Ukr. J. Phys. Opt. 12 19-27 
doi: 10.3116/16091833/12/1/19/2011
Received: 30.12.2010

Анотація. У роботі наведено кількісні параметри флуктуаційних ефектів, які спостерігаються в двозаломленні та лінійному термічному розширенні кристалів Sn2P2(SexS1-x)6 із x = 0 and 0.28. Виявлено, що ці параметри, включно з числом Гінзбурга, яке  обумовлює температурну ширину діапазону скейлінгу, за порядком величини однакові. Обговорено відповідні наслідки, пов’язані із впливом структурних дефектів та існуванням полікритичних точок на фазовій діаграмі.

REFERENCES
 
  1. Vysochanskii Yu M and Slivka V U, 1992. Lifshitz point on the state diagram of ferro-electrics. Sov. Phys. Usp. 35: 123–134. doi:10.1070/PU1992v035n02ABEH002217
  2. Martynyuk-Lototska I Yu, Mys O G, Grabar A A, Stoika I M, Vysochanskii Yu M and Vlokh R O, 2008. Highly efficient acousto-optic diffraction in Sn2P2S6 crystals. Appl. Opt. 47: 52–55. doi:10.1364/AO.47.000052PMid:18157276
  3. Oleaga A, Salazar A, Massot M and Vysochanskii Yu M, 2007. Thermal diffusivity and critical behaviour of uniaxial ferroelectric Sn2P2S6. Thermochimica Acta. 459: 73–79. doi:10.1016/j.tca.2007.04.018
  4. Say A, Mys O, Grabar A, Vysochanskii Y and Vlokh R, 2009. Thermal expansion of Sn2P2S6 crystals. Phase Trans. 82: 531–540. doi:10.1080/01411590903079003
  5. Andersson O, Chobal O, Rizak I and Rizak V, 2009. Tricritical Lifshitz point in the temperature-pressure-composition diagram for (PbySn1−y)2P2(SexS1−x)6 ferroelectrics. Phys. Rev. B. 80: 174107. doi:10.1103/PhysRevB.80.174107
  6. Say A, Mys O, Adamenko D, Grabar A, Vysochanskii Yu, Kityk A and Vlokh R, 2010. Critical exponents of phase transition in ferroelectric Sn2P2S6: comparison of optical and dilatometric data. Phase Trans. 83: 123–139. doi:10.1080/01411590903553452
  7. Oleaga A, Salazar A, Kohutych A A and Vysochanskii Yu M, 2011. Critical behavior near the Lifshitz point in Sn2P2(S1−xSex)6 ferroelectric semiconductors from thermal dif-fusivity measurements. J. Phys.: Condens. Matter 23: 025902. doi:10.1088/0953-8984/23/2/025902
  8. Barsamian T, Khasanov S and Shekhtman V, 1993. Diffraction analysis of incommensu-rate phases in crystals of quasi-binary system Sn2P2(S1-xSex)6. Ferroelectrics. 138: 63–77. doi: 10.1080/00150199308017715
  9. Larkin A I and Khmel'nitskii D E, 1969. Phase transitions in uniaxial ferroelectrics. Sov. Phys. JETP. 29: 1123–1128.
  10. Ferret J and Gehring GA, 1984. Linear optical birefringence of magnetic crystals. Rep. Prog. Phys. 47: 513–611. doi:10.1088/0034-4885/47/5/002
  11. Vysochanskii Yu M., Motrya S F, Perechinskii S I, Rizak V M, Rizak I M and Slivka V Yu, 1991. Birefringence in the incommensurate phase of proper ferroelectrics Sn2P2S6. Ukr. Fiz. Zhurn. 36: 728–732.
  12. Vysochanskii Yu M, Grabar A A, Dovka N D, Perechinskii S I, Rizak V M and Slivka V Yu, 1991. Manifestation of fluctuation effects in the vicinity of tricritical Lif-shits point in Sn2P2(S1−xSex)6. Izv. AN SSSR, Ser. Fiz. 55: 1027–1032.
  13. Rizak I M, Rizak V M, Perechinskii S I, Vysochanskii Yu M and Slivka V Yu, 1992. Critical behavior of birefringence in Sn2P2Se6 in the vicinity of phase transition from paraelectric to incommensurate phase. Fiz. Tverd. Tela. 34: 3709–3712.
  14. Maior M M, van Loosdrecht P H M, van Kernpen H, Rasing Th, Molnar S B and Mo-trij S F, 1993. Fluctuation effects on the thermal expansion of the incommensurate crys-tal Sn2P2Se6. J. Phys.: Condens. Matter. 5: 6023–6028. doi:10.1088/0953-8984/5/33/011
  15. Zapeka B, Vasylkiv Yu, Mys O and Vlokh R, 2011. On the tricritical behavior of the Sn2P2S6 crystals. Phase Trans. (to be published).
  16. Zapeka B, Mys O and Vlokh R. 2011. On the order of phase transition in Sn2P2(Se0.28S0.72)6 solid solutions: optical birefringence studies. Ferroelectrics. (to be published).
  17. Say A, Mys O and Vlokh R, 2010. Thermal expansion of the Sn2P2(Se0.28S0.72)6 solid so-lutions. Phil. Mag. 90: 3389 – 3400. doi:10.1080/14786435.2010.485937
  18. Fousek J. and Petzelt J., 1979. Changes of refractive indices of crystals induced by struc-tural phase transitions. Phys. Stat. Solidi (a). 55: 11–40. doi:10.1002/pssa.2210550102
  19. Fousek J, 1991. Birefringence studies of A2BX4 compounds with incommensurate phases. Phase Trans. 36: 165–190. doi:10.1080/01411599108203438
  20. Levanyuk A. P. and Sigov A. S., Defects and structural phase transitions. New York: Gordon and Breach (1988).
  21. Ivanov N R, Levanyuk A P, Minyukov S A, Kroupa J and Fousek J, 1990. The critical temperature dependence of birefringence near the normal-incommensurate phase transi-tion in Rb2ZnBr4. J. Phys.: Condens. Matter 2: 5777–5786. doi:10.1088/0953-8984/2/26/015
  22. Ivanov N. R. and Fousek J., 1990. Thermal expansion and critical behavior of Rb2ZnBr4 crystal. Izv. AN SSSR, Ser. Fiz. 54: 659–663.
  23. Kushnir O S, Shopa R Y and Vlokh R O, 2008. Optical studies of order parameter fluctua-tions in solid solutions based on lead germanate crystals. Ukr. J. Phys. Opt. 9: 169–181. doi:10.3116/16091833/9/3/169/2008
  24. Levanyuk A P, 1965. Towards phenomenological theory of anomalies of thermody-namic quantities near the second-order phase transition points in ferroelectrics. Izv. AN SSSR, Ser. Fiz. 29: 879–881.
  25. Ginzburg V L, Levanyuk A P and Sobyanin A A, 1987. Comments on the region of applica-bility of the Landau theory for structural phase transitions. Ferroelectrics. 73: 171–182. doi: 10.1080/00150198708227916
  26. Levanyuk A P and Sigov A S, 1981. Influence of defects on the properties of ferroelec-trics ad related materials near the point of second-order phase transition. Izv. AN SSSR, Ser. Fiz. 29: 879–881.


(c) Ukrainian Journal of Physical Optics