Abstract
We proposed a theory of superionic conductors based on the properties of theq-state Pott's model. The strong first order transition of this model for largeq gives an explanation for the sudden release of the cations at the superionic transition. Using modified versions of the model, in which we destroy its symmetry, we find that depending on the parameters, we can have no transition, one first order transition or a first order transition followed (if the temperature increases) by a second order transition.
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Girvin, S.M., Mahan, G.D.: Solid State Commun.23, 629 (1977); Lam, L., Bunde, A.: Z. Phys. B—Condensed Matter30, 65 (1978)
Furman, D., Dattagupla, S., Griffiths, R.B.: Phys. Rev. B15, 441 (1977)
Vardeny, Z., Brafman, O.: Phys. Rev. B19, 3276 (1979)
Yamashita, M.: Prog. Theor. Phys.61, 1287 (1979); Levy, P.M., Sudano, J.J.: Phys. Rev. B18, 5087 (1978)
Knak Jensen, S.J., Mouritsen, O.G.: Phys. Rev. Lett.43, 1736 (1979)
Mittag, L., Stephen, M.J.: J. Phys. A7, L109 (1074)
Wu, F.Y.: J. Phys. C12, L317 (1979)
Benguigui, L.: Phys. Rev. B16, 1266 (1977)
Huberman, B.A.: Phys. Rev. Lett.32, 1000 (1974)
Rice, M.J., Strässler, S., Toombs, G.A.: Phys. Rev. Lett.32, 596 (1974)
Benguigui, L.: J. Phys. C8, 17 (1975)
Shapiro, S.M., Semmingsen, D., Salamon, M.: In: Proc. of Int. Conf. on Lattice Dynamics. p. 538. Balkanski, M., (ed.) Paris: Flamarion Science 1978
Welch, D.O., Dienes, G.J.: J. Phys. Chem. Solids38, 311 (1977)
Pardee, W.J., Mahan, G.D.: J. Solid State Chem.15, 310 (1975)
Wiedersich, H., Johnston, W.V.: J. Phys. Chem. Solids30, 475 (1969)
Perrot, C.M., Fletcher, N.H.: J. Chem. Phys.50, 2770 (1969)
Perrot, C.M., Fletcher, N.H.: J. Chem. Phys.50, 2344 (1969)
Gool, W. Van: In: Superionic conduction. Mahan, G.D., Roth, W.L. (eds.), p. 143. New York: Plenum Press 1976
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Godefroy, L., Benguigui, L. Phase transitions in superionics as an example of a modified Pott's model. Z. Physik B - Condensed Matter 42, 113–117 (1981). https://doi.org/10.1007/BF01319544
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DOI: https://doi.org/10.1007/BF01319544