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Study of the low-field irreversibility line in the transverse component spin-glass phase of the amorphous Fe90Zr10 alloy

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Abstract

Amorphous FexZr100−x alloys display a complex magnetic phase diagram, particularly in the range 89% ≲ x ≲ 93% in which the phase transition from the paramagnetic to a soft ferromagnetic (FM) state at a critical temperature Tc precedes a second transition at Txy < Tc to a transverse spin-glass (SG) phase, with frozen spin components transverse to the magnetization. The softness of the FM phase and the coexistence of FM and SG orderings complicate exploring the low-temperature and low-field critical properties of the glassy transition. Here we study the irreversibility Almeida-Thouless (AT) line that marks the onset of the transverse SG phase in the Fe90Zr10 alloy in the low-field regime up to H = 60 Oe. While ZFC measurements give rise to an AT exponent ϕ = 4.6, similar to that of another amorphous FM compound with random local anisotropy, the induction of magnetic shiftings upon cooling the sample in a large field, − 85 kOe, displaces down the AT line and separates it into two distinct regimes: one also with ϕ = 4.6 for H above 20 Oe, nearly corresponding to the typical field to flip the remanent magnetization, and a new second regime at lower H, with field-induced remanent clusters and exponent ϕ = 3.6 that approaches the mean-field value ϕ = 3. Our findings are discussed on the light of the results from a random nonuniform anisotropy model with FM exchange interactions, which also reported the existence of a two-regimes scenario in the AT line with similar exponents.

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References

  1. H. Hiroyoshi, K. Fukamichi, Phys. Lett. A 85, 242 (1981)

    ADS  Google Scholar 

  2. H. Hiroyoshi, K. Fukamichi, J. Appl. Phys. 53, 2226 (1982)

    ADS  Google Scholar 

  3. J.C. Gachon, J. Hertz, Calphad 7, 1 (1983)

    Google Scholar 

  4. D. Dahlberg, K.V. Rao, K. Fukamichi, J. Appl. Phys. 55, 1942 (1984)

    ADS  Google Scholar 

  5. R.W. Cochrane, J. Destry, R. Legault, M. Trudeau, J. Appl. Phys. 55, 1939 (1984)

    ADS  Google Scholar 

  6. R.W. Cochrane, M. Trudeau, J.O. StromOlsen, J. Appl. Phys. 57, 3207 (1985)

    ADS  Google Scholar 

  7. S.N. Kaul, A. Hofmann, H. Kronmuller, J. Phys. F 16, 365 (1986)

    ADS  Google Scholar 

  8. D.H. Ryan, J.M.D. Coey, E. Batalla, Z. Altounian, J.O. Ström-Olsen, Phys. Rev. B 35, 8630 (1987)

    ADS  Google Scholar 

  9. S.N. Kaul, J. Appl. Phys. 57, 3407 (1985)

    Google Scholar 

  10. S.N. Kaul, J. Appl. Phys. 61, 451 (1987)

    ADS  Google Scholar 

  11. U. Krey, U. Krauss, S. Krompiewski, J. Magn. Magn. Mater. 103, 37 (1992)

    ADS  Google Scholar 

  12. D. Kaptás, T. Kemény, L.F. Kiss, L. Gránásy, J. Balogh, I. Vincze, J. Non-Cryst. Solids 156-158, 336 (1993)

    ADS  Google Scholar 

  13. J. Nogués, K.V. Rao, J. Magn. Magn. Mater. 135, L11 (1994)

    ADS  Google Scholar 

  14. A. Paja, T. Stobiecki, M. Oszajec, U. Krey, J. Magn. Magn. Mater. 186, 104 (1998)

    ADS  Google Scholar 

  15. F. Stein, G. Sauthoff, M. Palm, J. Phase Equilib. 23, 480 (2002)

    Google Scholar 

  16. F.F. Barquín, J.C.G. Sal, P. Gorria, J.S. Garitaonandia, J.M. Barandiarán, Eur. Phys. J. B, 35, 3 (2003)

    ADS  Google Scholar 

  17. P.R.T. Ribeiro, J.M.M. Ramírez, R. Vidyasagar, F.L.A. Machado, S.M. Rezende, E. Dan Dahlberg, Appl. Phys. Lett. 109, 102404 (2016)

    ADS  Google Scholar 

  18. D.H. Ryan, Exchange frustration and tranverse spin freezing, inRecent Progress in Random Magnets, edited by D.H. Ryan (World Scientific, Singapore, 1992)

  19. D.H. Ryan, J.M. Cadogan, J. van Lierop, Phys. Rev. B 61, 6816 (2000)

    ADS  Google Scholar 

  20. H. Takano, S. Takahashi, S. Murayama, K. Hoshi. J. Magn. Magn. Mater. 140-144, 299 (1995)

    ADS  Google Scholar 

  21. A. Iljinas, D. Milcius, J. Dudonis, Vacuum 81, 1213 (2007)

    ADS  Google Scholar 

  22. P.T. Korelis, A. Liebig, M. Björck, B. Hjörvarsson, H. Lidbaum, K. Leifer, A.R. Wildes, Thin Solid Films 519, 404 (2010)

    ADS  Google Scholar 

  23. P.M. Bentley, A.R. Wildes, S.H. Kilcoyne, N Cowlam, J. Phys.:Conf. Ser. 200, 032006 (2010)

    Google Scholar 

  24. M. Ahlberg, P. Korelis, G. Andersson, B. Hjörvarsson, Phys. Rev. B 85, 224425 (2012)

    ADS  Google Scholar 

  25. B. Vehovszky, P. Kamasa, J. Kováč, Z. Fogarassy, Complex study of H-induced structural rearrangements in FeZr glasses, inMaterials Science, Testing and Informatics VI, Materials Science Forum (Trans Tech Publications, Switzerland, 2013), Vol. 729, pp. 509–514

  26. R. Moubah, A. Zamani, A. Olsson, S. Shi, A. Hallén, S. Carlson, D. Arvanitis, P. Nordblad, B. Hjörvarsson, P. Jönsson, Appl. Phys. Express 6, 053001 (2013)

    ADS  Google Scholar 

  27. A. Zamani, A. Hallén, P. Nordblad, G. Andersson, B. Hjörvarsson, P.E. Jönsson, J. Magn. Magn. Mater. 346, 138 (2013)

    ADS  Google Scholar 

  28. R. Moubah, M. Ahlberg, A. Zamani, A. Olsson, S. Shi, Z. Sun, S. Carlson, A. Hallén, B. Hjörvarsson, P.E. Jönsson, J. Appl. Phys. 116, 053906 (2014)

    ADS  Google Scholar 

  29. M. Ahlberg, A. Zamani, E. Östman, H. Fashandi, B. Hjörvarsson, P.E. Jönsson, Phys. Rev. B 90, 184403 (2014)

    ADS  Google Scholar 

  30. P.R.T. Ribeiro, F.L.A. Machado, E. Dan Dahlberg, J. Appl. Phys., 117, 17E124 (2015)

    Google Scholar 

  31. A. Zamani, R. Moubah, M. Ahlberg, H. Stopfel, U.B. Arnalds, A. Hallén, B. Hjörvarsson, G. Andersson, P.E. Jönsson, J. Appl. Phys. 117, 143903 (2015)

    ADS  Google Scholar 

  32. Z. Fan, J. Jian, Y. Liu, Y. Chen, M. Song, L. Jiao, H. Wang, X. Zhang, Acta Mater. 101, 125 (2015)

    Google Scholar 

  33. R. Moubah, A. Boutahar, H. Lassri, A. Dinia, S. Colis, B. Hjörvarsson, P.E. Jönsson, Mater. Lett. 175, 5 (2016)

    Google Scholar 

  34. M. Sun, A. Rauf, Y. Zhang, G. Sha, G. Peng, Z. Yu, C. Guo, Y. Fang, S. Lan, T. Feng, H. Hahn, H. Gleiter, Mater. Res. Lett. 6, 55 (2018)

    Google Scholar 

  35. P. Pureur, J. Schaf, W.H. Schreiner, D.H. Mosca, J.V. Kunzler, D.H. Ryan, J.M.D. Coey, J. Phys. Colloq. 49, C8–1131 (1988)

    Google Scholar 

  36. E. Montarroyos, F.L.A. Machado, S.M. Rezende, J.R.L. de Almeida, M.V.P. Altoé, F.P. Missell, J. Appl. Phys. 70, 6169 (1991)

    ADS  Google Scholar 

  37. K.H. Fischer, A. Zippelius, Prog. Theor. Phys. Suppl. 87, 165 (1986)

    ADS  Google Scholar 

  38. J. Nogués, D. Lederman, T. Moran, I.K. Schuller, Phys. Rev. Lett. 76, 4624 (1996)

    ADS  Google Scholar 

  39. J. Nogués, C. Leighton, I.K. Schuller, Phys. Rev. B 61, 1315 (2000)

    ADS  Google Scholar 

  40. N.C. Koon, Phys. Rev. Lett. 78, 4865 (1997)

    ADS  Google Scholar 

  41. L.F. Kiss, D. Kaptas, N. Hegman, Absence of field cooling effect on the hysteresis loop in amorphous Fe93Zr7, inMagnetic Hysteresis in Novel Magnetic Materials, NATO ASI Series, Series E: Applied Sciences, edited by G. Hadjipanayis (Kluwer Academic Publishers, London, 1997), Vol. 338, pp. 755–759

  42. L.F. Kiss, T. Kemeny, J. Bednarcik, J. Gamcova, H.-P. Liermann, Phys. Rev. B 93, 214424 (2016)

    ADS  Google Scholar 

  43. A.K. Mukhopadhyay, R.D. Shull, P.A. Beck, J. Less-Common Met. 43, 69 (1975)

    Google Scholar 

  44. P.A. Beck, Phys. Rev. B 23, 2290 (1981)

    ADS  Google Scholar 

  45. P.A. Beck, Solid State Commun. 34, 581 (1980)

    ADS  Google Scholar 

  46. J.R.L. de Almeida, D.J. Thouless, J. Phys. A 11, 983 (1978)

    ADS  Google Scholar 

  47. K.H. Fischer, J.A. Hertz,Spin Glasses (Cambridge University Press, Cambridge, 1991)

  48. R. Harris, M. Plischke, M.J. Zuckermann, Phys. Rev. Lett. 31, 160 (1973)

    ADS  Google Scholar 

  49. F.L.A. Machado, J.M. Soares, O.L.A. Conceição, E.S. Choi, L. Balicas, J. Magn. Magn. Mater. 424, 323 (2017)

    ADS  Google Scholar 

  50. M. Gabay, G. Toulouse, Phys. Rev. Lett. 47, 201 (1981)

    ADS  Google Scholar 

  51. J.R.L. de Almeida, R. Bruinsma, Phys. Rev. B 35, 7267 (1987)

    ADS  Google Scholar 

  52. G. Kotliar, H. Sompolinsky, Phys. Rev. Lett. 53, 1751 (1984)

    ADS  Google Scholar 

  53. K.H. Fischer, Z. Phys. B 60, 151 (1985)

    ADS  Google Scholar 

  54. G. Herzer, Acta Mater. 61, 718 (2013)

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil

    Danilo R. Ratkovski, Pablo R. T. Ribeiro & Fernando Luis de Araujo Machado

  2. Laboratório de Física Teórica e Computacional, Departamento de Física, Universidade Federal de Pernambuco, 50670-901 Recife, Pernambuco, Brazil

    Ernesto P. Raposo

  3. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota, MN, 55455, USA

    Earl Dan Dahlberg

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  1. Danilo R. Ratkovski
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  2. Pablo R. T. Ribeiro
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  3. Fernando Luis de Araujo Machado
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  5. Earl Dan Dahlberg
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Correspondence to Ernesto P. Raposo.

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Ratkovski, D.R., Ribeiro, P.R.T., de Araujo Machado, F.L. et al. Study of the low-field irreversibility line in the transverse component spin-glass phase of the amorphous Fe90Zr10 alloy. Eur. Phys. J. B 93, 149 (2020). https://doi.org/10.1140/epjb/e2020-10086-5

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