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Electrostatic lattice coefficients and binding energy of orthorhombic La2-x Sr x CuO4

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Zeitschrift für Physik B Condensed Matter

Abstract

Three valency models for orthorhombic La2-x Sr x CuO4 were investigated for increasing Sr concentrationsx (0≤x≤0.21): 1. Cu2+→Cu3+, 2. apex O2−→O and 3. in-plane O2−→O. All calculations were done by using structural parameters valid for the temperature range from 10 to 22 K. We thereby calculated the electrostatic interaction energy which, next to ionization potentials and electron affinities, comprises a major of the binding energyE B of crystals. Second-order effects were accounted for by calculating the strength of ionic dipole moments induced by crystal electric fields at relevant lattice sites. Their largest strengths are comparable to the dipole moment of the water molecule. Three out of five dipoles in La2-x Sr x CuO4 vanish during the transition from the orthorhombic to the tetragonal phase. The binding energy differences between the different models suggest that the system is in a state of model 1. However, the differences are very small, being in the order of 0.3 to 0.76 eV atx=0.13.

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References

  1. Maekawa, S., Ohta, Y., Tohyama, T.: in: Toshiba International School of Superconductivity (ITS2), p. 29, Kyoto 1991. Maekawa, S., Sato, M. (eds.) Berlin, Heidelberg, New York Springer 1992

    Google Scholar 

  2. Kondo, J., Asai, Y., Nagai, S.: J. Phys. Soc.57, 4334 (1988)

    Google Scholar 

  3. Kondo, J.: in: Strong Correlation and Superconductivity p. 57, Mt. Fuji 1989, Fukuyama, H., Maekawa, S., Malozemoff, A.P. (eds.) Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  4. Rushan, H., Zizhao, G., Daole, Y., Qing, L.: Phys. Rev. B41, 6683 (1990)

    Google Scholar 

  5. Cohen, R.E., Pickett, W.E., Krakauer, H., Boyer, LL.: Physica B150, 61 (1988)

    Google Scholar 

  6. Torrance, J.B., Metzger, R.M.: Phys. Rev. Lett.63, 1515 (1989)

    Google Scholar 

  7. Ohta, Y., Tohyama, T., Maekawa, S.: Phys. Rev. B43, 2968 (1991)

    Google Scholar 

  8. Wang, Q., Rushan, H., Gan, Z.Z.: Phys. Rev. B45, 10834 (1992)

    Google Scholar 

  9. Wright, N.F., Butler, W.H.: Phys. Rev. B42, 4219 (1990)

    Google Scholar 

  10. Birkholz, M.: Crystal-field induced dipoles I. Z Phys B96, 325 (1995)

    Google Scholar 

  11. Cava, R.J., Santoro, A., Johnson, D.W., Rhodes, W.W.: Phys. Rev. B35, 6716 (1987)

    Google Scholar 

  12. Braden, M., Schweiss, P., Heger, G., Schwarz, W., Wohlleben, D., Fisk, Z., Rumiantsev, A., Tanaka, I., Kojima, H.: Physica C185–189, 549 (1991)

    Google Scholar 

  13. Takagi, H., Cava, R.J., Marezio, M., Batlogg, B., Krajewski, J.J., Peck, W.F., Bordet, P., Cox, D.E.: Phys. Rev. Lett.68, 3777 (1992)

    Google Scholar 

  14. Jorgensen, J.D., Dabrowski, B., Pei, S., Hinks, D.G., Soderholm, L., Morosin, B., Schirber, J.E., Venturini, E.L., Ginley, D.S.: Phys. Rev. B38, 11337 (1988)

    Google Scholar 

  15. Braden, M., Schweiss, P., Heger, G., Reichardt, W., Fisk, Z., Gamayunov, K., Tanaka, I., Kojima, H.: Physica C223, 396 (1994), these authors specify the structural data in terms of theAbma setting of the unit cell

    Google Scholar 

  16. Torrance, J.B., Tokura, Y., Nazzal, A.I., Bezinge, A., Huang, T.C., Parkin, S.S.P.: Phys. Rev. Lett.61, 1127 (1988)

    Google Scholar 

  17. Birkholz, M.: Crystal-field induced dipoles II. Z. Phys. B96, 333

  18. Fraga, S., Karwowski, J., Saxena, K.M.S.: Handbook of atomic data, Table VI (1). Amsterdam: Elsevier 1976

    Google Scholar 

  19. Tessman, J.R., Kahn, A.H., Shockley, W.: Phys. Rev.,92, 890 (1953)

    Google Scholar 

  20. Pauling, L.: Proc. Roy. Soc.114A, 181 (1927)

    Google Scholar 

  21. Jain, S.C., Sharma, T.P., Arora, N.D.: J. Phys. Chem. Solids37, 81 (1976)

    Google Scholar 

  22. Shanker, J., Argrawal, G.G., Dutt, N.: Phys. Statis. Solid: (b)138, 9 (1986)

    Google Scholar 

  23. Dikshit, U.C., Kumar, M.: Phys. Statis Solid. (b)165, 559 (1991)

    Google Scholar 

  24. Radzig, A.A., Smirnov, B.M.: Reference data on atoms, molecules and ions, p. 131. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  25. Cotton, F.A., Wilkinson, G.: Advanced inorganic chemistry, p. 58. New York: Wiley 1972

    Google Scholar 

  26. Ashcroft, N.W., Mermin, N.D.: Solid state physics, p. 673. Tokyo: CBS 1981

    Google Scholar 

  27. Loram, J.W., Mirza, K.A.: in: Electronic properties of high-T c superconductors and related compounds. Kirchberg, Tyrol 1990, p. 92, Kuzmany, H., Mehring, M., Fink, J. (eds.). Berlin, Heidelberg, New York: Springer 1990

    Google Scholar 

  28. Evjen, H.M.: Phys. Rev.15, 675 (1932)

    Google Scholar 

  29. Marathe, V.R., Lauer, S., Trautwein, A.X.: Phys. Rev. B27, 5162 (1983)

    Google Scholar 

  30. Rudert, R., Birkholz, M.: ELC — a computer program for the calculation of electrostatic lattice coefficients 1994

  31. Birkholz, M.: J. Phys.: Condensed Matter4, 6227 (1992)

    Google Scholar 

  32. Nelson, R.D., Lide, D.R., Maryott, A.A.: in: Handbook of chemistry and physics, p. E-61, Weast, R.C. (ed.) Boca Raton: CRC Press 1986

    Google Scholar 

  33. Brumer, P., Karplus, M.: J. Chem. Phys.58, 3903 (1973)

    Google Scholar 

  34. Weiss, A., Witte, H.: Kristallstruktur und chemische Bindung, p. 122. Weinheim: Verlag Chemie 1983

    Google Scholar 

  35. Torrance, J.B., Bezinge, A., Nazzal, A.I., Huang, T.C., Parkin, S.S.P., Keane, D.T., LaPlaca, S.J., Horn, P.M., Held, G.A.: Phys. Rev. B40, 8872 (1989)

    Google Scholar 

  36. Schäfer, W., Breuer, M., Bauer, G., Freimuth, A., Knauf, N., Roden, B., Schlabitz, W., Büchner, B.: Phys. Rev. B49, 9248 (1994)

    Google Scholar 

  37. Shafer, M.W., Penney, T., Olson, B.L.: Phys. Rev. B36, 4047 (1987)

    Google Scholar 

  38. Pellegrin, E. et al.: Phys. Rev. B47, 3354 (1993)

    Google Scholar 

  39. Birkholz, M., Rudert, R.: Z. Phys. B (forthcoming)

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Birkholz, M., Rudert, R. Electrostatic lattice coefficients and binding energy of orthorhombic La2-x Sr x CuO4 . Z. Physik B - Condensed Matter 97, 7–16 (1995). https://doi.org/10.1007/BF01317582

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  • DOI: https://doi.org/10.1007/BF01317582

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