Abstract
Within a pseudospin model of a KD2PO4 crystal, the relaxation time of the average pseudospin (the order parameter) in the mean-field approximation depends on the activation energy of the jump of a deuteron between the minima of the hydrogen bond potential, the average equilibrium value of the pseudospin, and the dielectric susceptibility. Calculating the average equilibrium spin and the susceptibility within the four-particle cluster approximation and fitting the data for the width of the central peak from a Raman scattering experiment, we numerically estimate the activation energy. For the same values of the parameters of the cluster method, the calculated inverse relaxation time is in good agreement with the data of ultrasonic measurements.
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References
M. Lines and A. Glass, Principles and Applications of Ferroelectrics and Related Materials (Oxford University Press, Oxford, 1977; Mir, Moscow, 1981).
G. A. Jeffry and W. Saenger, Hydrogen Bonding in Biological Structures (Springer-Verlag, Berlin, 1991).
V. A. Abalmassov, A. M. Pugachev, and N. V. Surovtsev, Phys. Solid State 53(7), 1371 (2011).
V. K. Malinovsky, A. M. Pugachev, and N. V. Surovtsev, Phys. Solid State 50(6), 1137 (2008).
E. Litov and E. A. Uehling, Phys. Rev. B: Solid State 1, 3713 (1970).
V. G. Vaks, Introduction to the Microscopic Theory of Ferroelectrics (Nauka, Moscow, 1973) [in Russian].
V. A. Strukov and A. P. Levanyuk, Ferroelectric Phenomena in Crystals: Physical Foundations (Nauka, Moscow, 1983; Springer-Verlag, Berlin, 1998).
R. J. Glauber, J. Math. Phys. 4, 294 (1963).
R. R. Levitskii, I. R. Zachek, A. S. Vdovych, and S. I. Sorokov, Condens. Matter Phys. 12, 75 (2009).
K. Yoshimitsu and T. Matsubara, Prog. Theor. Phys. Suppl. 109, 36 (1968).
R. M. Hill and S. K. Ichiki, Phys. Rev. 130, 150 (1963).
S. Yoshioka, Y. Tsujimi, and T. Yagi, Solid State Commun. 106, 577 (1998).
T. Hikita, Y. Jiang, A. Satoh, and K. Itoh, Ferroelectrics 217, 223 (1998).
W. P. Mason, Phys. Rev. 72, 854 (1947).
R. Blinc and S. Svetina, Phys. Rev. 147, 430 (1966).
R. Blinc, Ferroelectrics 301, 3 (2004).
V. A. Abalmassov and A. S. Yurkov, Phys. Solid State 54(5), 984 (2012).
H. B. Silsbee, E. A. Uehling, and V. H. Schmidt, Phys. Rev. A 133, 165 (1964).
V. H. Schmidt, Phys. Rev. 164, 749 (1967).
R. Kind, P. M. Cereghetti, C. A. Jeitziner, B. Zalar, J. Dolinsek, and R. Blinc, Phys. Rev. Lett. 88, 195501 (2002).
R. Blinc and B. Zeks, Ferroelectrics 72, 193 (1987).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 10: E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 2001; Butterworth-Heinemann, Oxford, 2002); L. D. Landau and I. M. Khalatnikov, Dokl. Akad. Nauk SSSR XCVI (3), 469 (1954).
S. Torstveit, Phys. Rev. B: Condens. Matter 20, 4431 (1979).
V. L. Ginzburg, A. P. Levanyuk, and A. A. Sobyanin, Phys. Rep. 57, 151 (1980).
R. J. Nelmes, Z. Tun, and W. F. Kuhs, Ferroelectrics 71, 125 (1987).
M. C. Lawrence and G. N. Robertson, Ferroelectrics 34, 179 (1981).
H. Mashiyama, J. Korean Phys. Soc. 46, 63 (2005).
G. Reiter, A. Shukla, P. M. Platzman, and J. Mayers, New J. Phys. 10, 013016 (2008).
Y. Yamada and S. Ikeda, J. Phys. Soc. Jpn. 63, 3691 (1994).
Y. G. Hao, X. Y. Sun, and N. S. Dalal, Ferroelectrics 132, 165 (1992).
Q. Zhang, F. Chen, N. Kioussis, S. G. Demos, and H. B. Radousky, Phys. Rev. B: Condens. Matter 65, 024108 (2001).
B. Silvi, Z. Latajka, and H. Ratajczak, Ferroelectrics 150, 303 (1993).
S. Koval, J. Kohannof, J. Lasave, G. Colizzi, and R. L. Migoni, Phys. Rev. B: Condens. Matter 71, 184102 (2005).
G. Reiter, J. Mayers, and P. Platzman, Phys. Rev. Lett. 89, 135505 (2002).
V. H. Schmidt and E. A. Uehling, Phys. Rev. 126, 447 (1962).
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Original Russian Text © V.A. Abalmassov, A.M. Pugachev, N.V. Surovtsev, 2013, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 143, No. 2, pp. 322–328.
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Abalmassov, V.A., Pugachev, A.M. & Surovtsev, N.V. Dynamics of the order parameter and the potential of the hydrogen bond in a ferroelectric DKDP crystal. J. Exp. Theor. Phys. 116, 280–285 (2013). https://doi.org/10.1134/S1063776113020076
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DOI: https://doi.org/10.1134/S1063776113020076