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Magnetic X-ray scattering study of random field effects in Mn0.75Zn0.25F2

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Zeitschrift für Physik B Condensed Matter

Abstract

We report a detailed synchrotron X-ray scattering study of the magnetic correlations in two samples of Mn0.75Zn0.25F2 as a function of temperature and applied field. The critical behavior of this system is believed to be isomorphic with that of the three-dimensional random field Ising model (RFIM). On cooling in an external magnetic field (FC), the first sample exhibits a transition to long range order (LRO) in the near-surface region, at a field dependent temperature,T N (H). In contrast, bulk neutron scattering studies show a long lived metastable domain state forming below a metastability boundary,T M (H). The transition temperatureT M (H), lies below the metastability boundary,T M (H). The temperature difference,T M (H)−T M (H), increases with increasing field and agrees closely with the value deduced from an extrapolation from aboveT M (H) of earlier, equilibrium neutron scattering results on the spin-spin correlation length. On cooling, the order parameter exponent is found to be large, β=0.30±0.05. We speculate that there is an imbalance in the random fields in the neighborhood of linear surface defects (scratches) in this sample, and that the consequent net staggered field initiates a regular random Ising transition. The second sample was cut from the first and underwent a more extensive polishing process, resulting in a smoother surface with a small density of visible defects. Interestingly, it does not attain a LRO state on cooling, but rather it forms a domain state consistent with that observed by neutron diffraction. Both samples may be prepared in a LRO state, either by cooling in zero field and subsequently applying a field (ZFC) or, at high fields, by heating from the XY phase (FHXY). We have studied the evolution of the metastable LRO state in each sample on warming. We find universal behavior in both samples at all fields studied. Specifically there is a powerlaw-like decay of the order parameter with exponent β=0.20±0.05, and a rounded transition region which may be described by a Gaussian distribution of transition temperatures. The width of this distribution scales asH 2. A scaling plot of all the warming data as a function of the scaling variable (T−T C (H)/H 2 is constructed. We label this non-equilibrium pseudo-critical behavior, “trompe l'oeil critical behaviour.” Phenomenologically, these results enable us to explain many previous, apparently contradictory, results in the literature.

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References

  1. Larkin, A.I.: Sov. Phys. JETP31, 784 (1970)

    Google Scholar 

  2. Larkin, A.I., Ovchinnikov, Y.: J. Low Temp. Phys.34, 409 (1979)

    Google Scholar 

  3. Maritan, A., Swift, M.R., Cieplak, M., Chan, M.H.W., Cole, M.W., Bannavar, J.: Phys. Rev. Lett.67, 1821 (1991)

    Google Scholar 

  4. Imry, Y., Ma, S.: Phys. Rey. Lett.35, 1399 (1975)

    Google Scholar 

  5. Nattermann, T., Villain, J.: Phase Transitions11, 5 (1988)

    Google Scholar 

  6. Imbrie, J.Z.: Phys. Rev. Lett.53, 1747 (1984)

    Google Scholar 

  7. Imbrie, J.Z.: Commun. Math. Phys.98, 145 (1985)

    Google Scholar 

  8. Fishman, S., Aharony, A.: J. Phys. C12, L729 (1979)

    Google Scholar 

  9. Wong, P.Z., von Molnar, S., Dimon, P.: Solid State Commun.48, 573 (1983)

    Google Scholar 

  10. Cardy, J.L.: Phys. Rev. B29, 505 (1984)

    Google Scholar 

  11. Han, S-J., Belanger, D.P., Kleenmann, W., Nowak, U.: Phys. Rev. B45, 9728 (1992)

    Google Scholar 

  12. Lederman, M., Selinger, J.V., Bruinsma, R., Hammermann, J., Orbach, R.: Phys. Rev. Lett.68, 2086 (1992)

    Google Scholar 

  13. Sartorelli, J.C.: Phys. Rev. B45, 10779 (1992)

    Google Scholar 

  14. Belanger, D.P.: Phase Transitions11, 53 (1988)

    Google Scholar 

  15. Wong, P.Z., Cable, J.W.: Phys. Rev. B28, 5361 (1983)

    Google Scholar 

  16. Shapira, Y., Oliveira, N.F., Foner, S.: Phys. Rev. B30, 6639 (1984)

    Google Scholar 

  17. Birgeneau, R.J., Cowley, R.A., Shirane, G., Yoshizawa, H.: J. Stat. Phys.34, 817 (1984)

    Google Scholar 

  18. Belanger, D.P., Rezende, S.M., King, A.R., Jaccarino, V.: J. Appl. Phys.57, 3294 (1985)

    Google Scholar 

  19. Cowley, R.A., Birgeneau, R.J., Shirane, G.: Physica A140, 285 (1986)

    Google Scholar 

  20. Blume, M.: J. Appl. Phys.57, 3615 (1985)

    Google Scholar 

  21. Goldman, A.I., Mohanty, K., Shirane, G., Horn, P.M., Green, R.L., Peters, C.J., Thurston, T.R., Birgeneau, R.J.: Phys. Rev. B36, 5609 (1987)

    Google Scholar 

  22. Thurston, T.R., Peters, C.J., Birgeneau, R.J., Horn, P.M.: Phys. Rev. B37, 9559 (1988)

    Google Scholar 

  23. Hill, J.P., Thurston, T.R., Ramstad, M.J., Erwin, R.W., Birgeneau, R.J.: Phys. Rev. Lett.66, 3281 (1991)

    Google Scholar 

  24. Hill, J.P., Feng, Q., Birgeneau, R.J., Thurston, T.R.: Phys. Rev. Lett.70, 3655 (1993)

    Google Scholar 

  25. Collins, M.F.: Magnetic critical scattering. 1st edn. (OUP, Oxford: Oxford University Press 1989)

    Google Scholar 

  26. Nikotin, O., Lindgard, P.A., Dietrich, O.W.: J. Phys. C2, 1168 (1969)

    Google Scholar 

  27. Heller, P.: Phys. Rev.146, 403 (1966)

    Google Scholar 

  28. Shapira, Y., Foner, S.: Phys. Rev. B1, 3083 (1970)

    Google Scholar 

  29. Cowley, R.A., Shirane, G., Yoshizwa, H., Uemura, Y., Birgeneau, R.J.: Z. Phys. B75, 303 (1989); Cowley, R.A., Yoshizawa, H., Shirane, G., Hagen, M., Birgeneau, R.J.: Phys. Rev. B30, 6650 (1984)

    Google Scholar 

  30. Shapira, Y., Oliveira, N.F.: Phys. Rev. B27, 4336 (1983)

    Google Scholar 

  31. Birgeneau, R.J., Cowley, R.A., Shirane, G., Yoshizawa, H.: Phys. Rev. Lett.54, 2147 (1985)

    Google Scholar 

  32. Jug, G.: Phys. Rev. B27, 609 (1983)

    Google Scholar 

  33. Birgeneau, R.J., Shapira, Y., Shirane, G., Cowley, R.A., Yoshizawa, H.: Physica B137, 83 (1986)

    Google Scholar 

  34. Blume, M., Gibbs, D.: Phys. Rev. B37, 1779 (1988)

    Google Scholar 

  35. Gibbs, D., Grubel, G., Harshmann, D.R., Isaacs, E.D., McWan, D.B., Mills, D., Vettier, C.: Phys. Rev. B43, 5663 (1991)

    Google Scholar 

  36. Gibbs, D., Blume, M., Harshmann, D.R., McWan, D.B.: Rev. Sci. Instrum.60, 1655 (1989)

    Google Scholar 

  37. Villain, J.: Phys. Rev. Lett.52, 1543 (1984)

    Google Scholar 

  38. Cowley, R.A., Yoshizawa, H., Shirane, G., Birgeneau, R.J.: Z. Phys. B58, 15 (1984)

    Google Scholar 

  39. Hagen, M., Cowley, R.A., Satija, S.K., Yoshizawa, H., Shirane, G., Birgeneau, R.J., et al.: Phys. Rev. B28, 2602 (1983)

    Google Scholar 

  40. Yoshizawa, H., Cowley, R.A., Shirane, G., Birgeneau, R.J., et al.: Phys. Rev. Lett.48, 438 (1982)

    Google Scholar 

  41. Mukamel, D., Pytte, E.: Phys. Rev. B25, 4779 (1982)

    Google Scholar 

  42. Swift, M.R., Cieplak, M., Maritan, A., Shrimpton, N., Ma, W.J., Bannavar, J.: Preprint

  43. Wong, A.P.Y., Chan, M.H.W.: Phys. Rev. Lett.65, 2567 (1990)

    Google Scholar 

  44. Wu, X.I., Goldburg, W.I., Liu, M.X., Xue, J.Z.: Phys. Rev. Lett.69, 470 (1992)

    Google Scholar 

  45. Dierker, S.B., Wiltzius, P.: Phys. Rev. Lett.58, 1865 (1987)

    Google Scholar 

  46. Dierker, S.B., Wiltzius, P.: Phys. Rev. Lett.66, 1185 (1991)

    Google Scholar 

  47. Fisher, D.S.: Phys. Rev. Lett.56, 416 (1986)

    Google Scholar 

  48. Huse, D.A.: Phys. Rev. B36, 5383 (1987)

    Google Scholar 

  49. Ogielskil, A.T., Huse, D.A.: Phys. Rev. Lett.56, 1298 (1986)

    Google Scholar 

  50. Frisken, B.J., Cannell, D.S.: Phys. Rev. Lett.69, 632 (1992)

    Google Scholar 

  51. Taylor, D.R., Reza, K.A.: J. Magn. Magn. Mater.104–107, 213 (1992)

    Google Scholar 

  52. Reza, K.A., Taylor, D.R.: Phys. Rev. B46, 11425 (1992)

    Google Scholar 

  53. Gehring, G.A., Gehring, K.A.: Rep. Prog. Phys.38, 1 (1975)

    Google Scholar 

  54. Cowley, R.A., Birgeneau, R.J., Shirane, G., Yoshizawa, H.: Phys. Scr. T13, 212 (1986)

    Google Scholar 

  55. Grest, G.S., Soukoulis, C.M., Levin, K.: Phys. Rev. B33, 7659 (1986)

    Google Scholar 

  56. Belanger, D.P., King, A.R., Jaccarino, V.: Phys. Rev. B31, 4538 (1985)

    Google Scholar 

  57. Feng, Q., Hill, J.P., Harris, J.S., Cassanho, A., Birgeneau, R.J., Thurston, T.R.: (unpublished work)

  58. Pollak, P., Kleenman, W., Belanger, D.P.: Phys. Rev. B38, 4773 (1988)

    Google Scholar 

  59. Leitao, U.A., Kleenman, W.: Phys. Rev. B35, 8696 (1987)

    Google Scholar 

  60. Lederman, M., Selinger, J.V., Bruinsman, R., Hammermann, J., Orbach, R.: Preprint

  61. Ferrerira, I.B., King, A.R., Jaccarino, V.: Phys. Rev. B43, 10797 (1991)

    Google Scholar 

  62. Ramos, C.A., King, A.R., Jaccarino, V.: Phys. Rev. B37, 5483 (1988)

    Google Scholar 

  63. Belanger, D.P., King, A.R., Jaccarino, V., Cardy, J.L.: Phys. Rev. B28, 2522 (1983)

    Google Scholar 

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Author notes

  1. J. P. Hill

    Present address: Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

Authors and Affiliations

  1. Department of Physics, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

    Q. Feng & R. J. Birgeneau

  2. Brookhaven National Laboratory, 11973, Upton, NY, USA

    T. R. Thurston

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  1. J. P. Hill
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  2. Q. Feng
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  3. R. J. Birgeneau
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  4. T. R. Thurston
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Hill, J.P., Feng, Q., Birgeneau, R.J. et al. Magnetic X-ray scattering study of random field effects in Mn0.75Zn0.25F2 . Z. Physik B - Condensed Matter 92, 285–305 (1993). https://doi.org/10.1007/BF01308746

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  • DOI: https://doi.org/10.1007/BF01308746

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