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Two dimensional XY type magnetism in intercalated graphite: an elastic and inelastic neutron scattering study

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Zeitschrift für Physik B Condensed Matter

Abstract

Stage-2 CoCl2-GIC approximates a two-dimensional easy-plane (XY) ferromagnet on a triangular lattice. It has been found in prior work to order in two steps, with the intermediate phase showing long-ranged ferromagnetic correlations within the intercalate plane, but no correlations between neighboring planes. We have probed the wave vector and temperature dependence of the static and dynamic spin correlations in detail, including measurements of the critical scattering, the quasielastic scattering from vortex diffusion and the spin wave excitations with and without an external magnetic field. Some of the predictions for a Kosterlitz-Thouless type transition are met in this compound, at least qualitatively, including an apparent jump in the spin stiffness at the critical point and the existence of a diffusive central peak in the scattering function possibly originating from vortex autocorrelations. However, there are some inconsistencies between our observations and recent analytical studies as well as Monte Carlo-molecular dynamics simulations of the vortex dynamics that prevent unambigous assignment of the upper critical temperature as a vortex-binding transition.

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References

  1. Mermin, N.D., Wagner, H.: Phys. Rev. Lett.17, 1133 (1966)

    Google Scholar 

  2. Stanley, H.E., Kaplan, T.A.: Phys. Rev. Lett.17, 913 (1966); Jancovici, B.: Phys. Rev. Lett.19, 20 (1967); Moore, M.A.: Phys. Rev. Lett.23, 861 (1969)

    Google Scholar 

  3. Wegner, F.: Z. Phys.206, 465 (1967)

    Google Scholar 

  4. Berezinskii, B.L.: Zh. Eksp. Teor. Fiz.59, 907 (1970) [Sov. Phys.-JETP32, 493 (1971)]

    Google Scholar 

  5. Kosterlitz, J.M., Thouless, D.J.: J. Phys. C6, 1181 (1973)

    Google Scholar 

  6. Kosterlitz, J.M.: J. Phys. C7, 1046 (1974)

    Google Scholar 

  7. Ambegaokar, V., Halperin, B.I., Nelson, C.R., Siggia, E.: Phys. Rev. B21, 1806 (1980); Bishop, D.J., Reppy, J.D.: Phys. Rev. B22, 5171 (1980); McQueeney, D., Agnolet, G., Reppy, J.D.: Phys. Rev. Lett.52, 1325 (1984)

    Google Scholar 

  8. Halperin, B.I., Nelson, D.R.: J. Low. Temp. Phys.36, 599 (1979); Hebard, A.F., Fiory, A.T.: Phys. Rev. Lett.44, 291 (1980)

    Google Scholar 

  9. Resnick, D.J., Garland, J.C., Boyd, J.T., Shoemaker, S., Newrock, R.S.: Phys. Rev. Lett.47, 1542 (1981); Webb, R.A., Voss, R.F., Grinstein, G., Horn, P.M.: Phys. Rev. Lett.51, 690 (1983)

    Google Scholar 

  10. Moncton, D.E., Pindak, R., Davey, S.C., Brown, G.S.: Phys. Rev. Lett.49, 1865 (1982); Davey, S.C., Budai, J., Goodby, J.W., Pindak, R., Moncton, D.E.: Phys. Rev. Lett.53, 2129 (1985)

    Google Scholar 

  11. Kawabata, C., Bishop, A.R.: Solid State Commun.60, 169 (1986); Kawabata, C., Bishop, A.R.: Z. Phys. B65, 225 (1986)

    Google Scholar 

  12. Mertens, F.G., Bishop, A.R., Wysin, G.M., Kawabata, C.: Phys. Rev. Lett.59, 117 (1987); Phys. Rev. B39, 591 (1989)

    Google Scholar 

  13. Gouvêa, M.E., Wysin, G.M., Bishop, A.R., Mertens, F.G.: Phys. Rev. B39, 11840 (1989)

    Google Scholar 

  14. José, J.V., Kadanoff, L.P., Kirkpatrick, S., Nelson, D.R.: Phys. Rev. B16, 1217 (1977)

    Google Scholar 

  15. Hikami, S., Tsuneto, T.: Prog. Theor. Phys.63, 387 (1980); Chakravarty, S., Halperin, B., Nelson, D.: Phys. Rev. B39, 2344 (1989)

    Google Scholar 

  16. Schmidt, A., Schneider, T.: Helv. Phys. Acta65, 484 (1992); Zamora, M., Chiolero, A., Bagnoud, X., Baeriswyl, D.: Helv. Phys. Acta65, 429 (1992)

    Google Scholar 

  17. Zabel, H., Solin, S.A. (eds.): Graphite intercalations compounds. I. Structure and dynamics. Springer Series in Materials Science, Vol. 14. Berlin, Heidelberg, New York: Springer 1990; Zable, H., Solin, S.A. (eds.): Graphite intercalation compounds. II. Transport and electronic properties. Springer Series in Materials Science, Vol. 18. Berlin, Heidelberg, New York: Springer 1991

    Google Scholar 

  18. Karimov, Yu.S.: Zh. Eksp. Teor. Fiz.66, 1121 (1974) [Sov. Phys.-JETP39, 547 (1974)]; Elahy, M., Dresselhaus, G.: Phys. Rev. B30, 7225 (1984); Szeto, K.Y., Chen, S.T., Dresselhaus, G.: Phys. Rev. B32, 4628 (1985); Nicholls, J.T., McNiff Jr., E.J., Dresselhaus, G.: Phys. Rev. B42, 5555 (1990)

    Google Scholar 

  19. Wiesler, D.G., Suzuki, M., Chow, P.C., Zabel, H.: Phys. Rev. B34, 7951 (1986)

    Google Scholar 

  20. Matsuura, M., Murakami, Y., Takeda, K., Ikeda, H., Suzuki, M.: Synth. Met.12, 427 (1985)

    Google Scholar 

  21. Wiesler, D.G., Suzuki, M., Zabel, H.: Phys. Rev. B36, 7051 (1987)

    Google Scholar 

  22. Wiesler, D.G., Zabel, H.: Phys. Rev. B36, 7303 (1987); Wiesler, D.G., Zabel, H.: J. Appl. Phys.63, 3554 (1988)

    Google Scholar 

  23. Elahy, M., Shayegan, M., Szeto, K.Y., Dresselhaus, G.: Synth. Met.8, 35 (1983)

    Google Scholar 

  24. Murakami, Y., Matsuura, M., Suzuki, M., Ikeda, H.: J. Magn. Magn. Mater.31–34, 1171 (1983)

    Google Scholar 

  25. Dresselhaus, G.:—; In: [17]; Suzuki, M.: Crit. Rev. Solid State Mater. Sci.16, 237 (1990)

    Google Scholar 

  26. Wiesler, D.G., Suzuki, M., Zabel, H., Shapiro, S.M., Nicklow, R.M.: Physica B136, 22 (1986)

    Google Scholar 

  27. Wiesler, D.G., Zabel, H., Shapiro, S.M.: Physica B156/157, 292 (1989)

    Google Scholar 

  28. Wiesler, D.G., Zabel, H., Shapiro, S.M.: Synth. Met.34, 505 (1989)

    Google Scholar 

  29. Bramwell, S.T., Hutchings, M.T., Norman, J., Pynn, R., Day, P.: J. Phys. (Paris)48, C8, 1435 (1988)

    Google Scholar 

  30. Rossat-Mignod, J., Burlet, P., Regnault, L.P., Vettier, C.: J. Magn. Magn. Mater.90/91, 5 (1990)

    Google Scholar 

  31. Néel, L.: J. Phys. Radium15, 225 (1954); Gay, J.G., Richter, R.: Phys. Rev. Lett.56, 2728 (1986)

    Google Scholar 

  32. Qui, Z.Q., Pearson, J., Bader, S.D.: Phys. Rev. Lett.67, 1646 (1991)

    Google Scholar 

  33. Kawabata, C., Binder, K.: Solid State Commun.22, 705 (1977); Suzuki, M., Miyashita, S., Kuroda, A., Kawabata, C.: Phys. Lett. A60, 478 (1977); Tobochnik, J., Chester, G.V.: Phys. Rev. B20, 3761 (1979)

    Google Scholar 

  34. Heinekamp, S.W., Pelcovits, R.A.: Phys. Rev. B32, 4528 (1985)

    Google Scholar 

  35. Pokrovskii, V.L., Uimin, G.V.: Zh. Eksp. Teor. Fiz.65, 1691 (1973); [Sov. Phys.-JETP38, 847 (1974)]

    Google Scholar 

  36. Nelson, D.R., Kosterlitz, J.M.: Phys. Rev. Lett.39, 1201 (1977)

    Google Scholar 

  37. Nelson, D.R., Fisher, D.S.: Phys. Rev. B16, 4945 (1977)

    Google Scholar 

  38. Minnhagen, P.: Phys. Rev. Lett.54, 2351 (1985)

    Google Scholar 

  39. Ohta, T., Jasnow, D.: Phys. Rev. B20, 139 (1979)

    Google Scholar 

  40. Huber, D.L.: J. Appl. Phys.53, 1899 (1982); Phys. Rev. B26, 3758 (1982)

    Google Scholar 

  41. Boucher, J.P., Regnault, L.P., Pires, A., Rossat-Mignod, J., Henry, J.Y., Bouillot, J., Stirling, W.G., Renard, J.P.: In: Magnetic excitations and fluctuations. Lovesey, S.W., Balucani, U., Borsa, F., Tognetti, V. (eds.), p. 6 Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  42. Lovesey, S.W.: Theory of neutron scattering from condensed matter. Oxford: Clarendon Press 1986

    Google Scholar 

  43. Squires, G.L.: Introduction to the theory of thermal neutron scattering. Cambridge: Cambridge University Press 1978; Bacon, G.E., Neutron diffraction. Oxford: Clarendon Press 1975; Izyumov, Yu.A., Ozerov, R.P.: Magnetic neutron diffraction. New York: Plenum Press 1970; Marshall, W., Lowde, R.D.: Rep. Prog. Phys.31, 705 (1968)

    Google Scholar 

  44. Cooper, M.J., Nathans, R.: Acta Crystallogr.23, 357 (1967); Cooper, M.J., Nathans, R.: Acta Crystallogr. A24, 481 (1968); Cooper, M.J., Nathans, R.: Acta Crystallogr. A24, 619 (1968); Cooper, M.J.: Acta Crystallogr. A24, 624 (1968); Chesser, N.J., Axe, J.D.: Acta Crystallogr. A29, 160 (1973); Yessik, M., Werner, S.A., Sato, H.: Acta Crystallogr.29, 372 (1973)

    Google Scholar 

  45. Warren, B.E.: X-ray diffraction. Reading, Mass.: Addison-Wesley 1969

    Google Scholar 

  46. Suzuki, M., Ikeda, H., Endoh, Y.: Synth. Met.8, 43 (1983)

    Google Scholar 

  47. Speck, J.S., Wuensch, B.J., Dresselhaus, M.S.: In: Graphite intercalation compounds: science and applications. Endo, M., Dresselhaus, M.S., Dresselhaus, G. (eds.), p. 29. Proc. Materials Research Society 1988

  48. Elahy, M., Nicolini, C., Dresselhaus, G., Zimmerman, G.O.: Solid State Commun.41, 289 (1982)

    Google Scholar 

  49. Wilkinson, M.K., Cable, J.W., Wollan, E.O., Koehler, W.C.: Phys. Rev.113, 497 (1959)

    Google Scholar 

  50. Hashimoto, S., Forster, K., Moss, S.C.: (in press)

  51. Press, W.H., Flannery, B.P., Teukolsky, S.A., Vettering, W.T.: Numerical recipes. Cambridge: Cambridge University Press 1986

    Google Scholar 

  52. Matsuura, M., Zabel, H.: J. Magn. Magn. Mater90/91, 260 (1990)

    Google Scholar 

  53. Staley, H.E.: Introduction to phase transitions and critical phenomena. Oxford: Oxford University Press 1971

    Google Scholar 

  54. Dutta, P., Sinha, S.K.: Phys. Rev. Lett.47, 50 (1981)

    Google Scholar 

  55. Hutchings, M.T.: J. Phys. C6, 3143 (1973)

    Google Scholar 

  56. Zable, H., Shapiro, S.M.: Phys. Rev. B36, 7292 (1987); The difference between the values ofJ 1 andJ 2 here and those reported in the present paper results from different definitions of the exchange Hamiltonian and the coordination number

    Google Scholar 

  57. Kawabata, C., Takeuchi, M., Bishop, A.R.: J. Magn. Magn. Mater.54–57, 871 (1986)

    Google Scholar 

  58. Landau, D.P., Gerling, R.W.: J. Magn. Magn. Mater.104–107, 843 (1992)

    Google Scholar 

  59. Regnault, L.P., Rossat-Mignod, J., Henry J.Y., Pynn, R., Petitgrand, D.: In: Magnetic excitations and fluctuations. Lovesev, S.W., Balucani, U., Borsa, F., Tognetti, V. (eds.), p. 201. Berlin, Heidelberg, New York: Spriger 1984; Regnault, L.P., Boucher, J.P., Rossat-Mignod, J., Bouillot, J., Pynn, R., Henry, J.Y., Renard, J.P.: PhysicaB136, 329 (1986)

    Google Scholar 

  60. Regnault, L.P., Rossat-Mignod, J.: In: Magnetic properties of layered transition metal compounds. Jongh, L.J. de, Willet, R.D. (eds.) Dordrecht: Reidel 1987

    Google Scholar 

  61. Regnault, L.P., Lartigue, C., Legrand, J.F., Farago, B., Rossat-Mignod, J., Henry, J.Y.: PhysicaB156–157 (1989)

  62. Hirakawa, K., Yoshizawa, H., Ubukoshi, K.: J. Phys. Soc. Jpn.51, 2151 (1982)

    Google Scholar 

  63. Kadowaki, H., Ubukoshi, K., Hirakawa, K., Martinez, J.L., Shirane, G.: J. Phys. Soc. Jpn.56, 4027 (1987)

    Google Scholar 

  64. Zabel, H., Hardcastle, S.E., Neumann, D.A., Suzuki, M., Magerl, A.: Phys. Rev. Lett.57, 2041 (1986)

    Google Scholar 

  65. Gouvêa, M.E., Mertens, F.G., Bishop, A.R., Wysin, G.M.: J. Phys. G2, 1853 (1990)

    Google Scholar 

  66. Ito, M.: Prog. Theor. Phys.66, 1129 (1981); Deutsch, C., Doniach, S.: Phys. Rev.B29, 2724 (1984)

    Google Scholar 

  67. Weber, H., Jensen, H.J.: Phys. Rev. B44, 454 (1991); Jensen, H.J., Weber, H.: Phys. Rev. B45, 10468 (1992)

    Google Scholar 

  68. Zabel, H.: In: [17]—

    Google Scholar 

  69. Dresselhaus, G., Al-Jishi, R., Axe, J.D., Majkrzak, C.F., Passell, L., Satija, S.K.: Solid State Commun.40, 229 (1981)

    Google Scholar 

  70. Eklund, P.C., Yeh, V., Smith, H.G., Nicklow, R.M., Al-Jishi, R., Dresselhaus, G.: Phys. Rev. B29, 2138 (1984)

    Google Scholar 

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Wiesler, D.G., Zabel, H. & Shapiro, S.M. Two dimensional XY type magnetism in intercalated graphite: an elastic and inelastic neutron scattering study. Z. Physik B - Condensed Matter 93, 277–297 (1994). https://doi.org/10.1007/BF01312698

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