Abstract.
Melt-spun amorphous alloys of Fe91Zr9, Fe91Zr7B2, Fe90Zr7B3 and Fe88Zr8B4 have been characterized by AC susceptibility at frequencies between 30 Hz and 10 KHz. The measurements reflect the existence of reentrant spin glass transitions below 40 K for all cases. The transition shift per frequency decade is large compared to the observed in conventional spin-glass alloys. The shift value increases with the boron content and becomes closer to values in fine-particle systems. We find that the relaxation in Fe91Zr9 follows a critical slowing down at the reentrant transition, with exponents \(z\nu = 7.2\) and \(\beta = 0.7\). The non-linear susceptibility displays a peak at the transition in this alloy, but wider than in canonical spin glasses. A Vogel-Fulcher (VF) activation process can explain the frequency variation in all the Fe-Zr-B alloys. The reduction of the ideal glass temperature in the VF approach, found in the higher Boron content alloys, is an indication of a superparamagnetic-like behavior. The behavior shown by these alloys is intermediate between a collective freezing and superparamagnetic-like relaxation. We propose that this is arising due to a heterogeneous spin structure. The inclusion of a reduced amount of B, affects the magnetic spin structure.
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References
C.M. Hurd, Contemp. Phys. 23, 469 (1992)
J.A. Mydosh, Spin Glasses: an experimental introduction (Taylor & Francis, London, 1993)
T.J. Hicks, Magnetism in Disorder (Clarendon Univ. Press, Oxford, 1995)
J.L. Dormann, D. Fiorani, E. Tronc, Adv. Chem. Phys. 98, 283 (1997)
J.A. De Toro, M.A. López de la Torre, M.A. Arranz, J.M. Riveiro, J.L. Martínez, P. Palade, G. Filloti, Phys. Rev. B 64, 94438 (2001)
D.H. Ucko, Q.A. Pankhurst, L. Fernández Barqu\’in, J. Rodríguez Fernández, S.F.J. Cox, Phys. Rev. B 64, 104433 (2001)
T. Kaneyoshi, Introduction to amorphous magnets (World Sci., Singapore, 1992)
D.H. Ryan, J.M.D. Coey, E. Batalla, Z. Altounian, J.O. Ström-Olsen, Phys. Rev. B 35, 8630 (1987)
Y. Obi, L.C. Wang, R. Motsay, D.G. Onn, M. Nose, J. Appl. Phys. 53, 2304 (1982)
S.N. Kaul, Phys. Rev. B 27, 6923 (1983)
S.N. Kaul, J. Phys.: Condens. Matter 3, 4027 (1991)
H. Ma, H.P. Kunkel, G. Williams, J. Phys.: Condens. Matter 3, 5563 (1991)
D. Kaptas, T. Kemény, L.F. Kiss, J. Balogh, L. Gránásy, I. Vincze, Phys. Rev. B 46, 6600 (1992)
M. Ghafari, R.K. Day, J.B. Dunlop, A.C. McGrath, J. Magn. Magn. Mater. 104-107, 1668 (1992)
N. Hegman, L.F. Kiss, T. Kemeny, J. Phys.: Condens. Matter 6, L427 (1994)
I. Vincze, D. Kaptás, T. Kemeny, L.F. Kiss, J. Balogh, Phys. Rev. Lett. 73, 496 (1994)
L.F. Kiss, T. Kemeny, I. Vincze, L. Granasy, J. Magn. Magn. Mat. 135, 161 (1994)
H. Ren, D.H. Ryan, Phys. Rev. B 51, 15885 (1995)
L. Fernández Barquín, J.C. Gómez Sal, S.N. Kaul, J.M. Barandiarán, P. Gorria, J.S. Pedersen, R. Heenan, J. Appl. Phys. 79, 5146 (1996)
L.F. Kiss, T. Kemény, I. Vincze, J. Phys.: Condens. Matter 9, 10501 (1997)
D. Gómez Plaza, L. Fernández Barqu\’in, J. Garc\’ia Soldevilla, R. Antras, J.C. Gómez Sal, Sol. St. Comm. 102, 353 (1997)
J. Nogués, K.V. Rao, J. Magn. Magn. Mater. 135, L11 (1994)
J. Van Lierop, D.H. Ryan, Phys. Rev. Lett. 86, 4390 (2000)
A. Fujita, H. Komatsu, K. Fukamichi, T. Goto, J. Phys.: Condens. Matter 5, 3003 (1993)
H. Ren, D.H. Ryan, J. Appl. Phys. 73, 5494 (1993)
D.H. Ryan, J.M.D. Coey, J.O. Ström-Olsen, J. Magn. Magn. Mater. 67, 1668 (1987)
G.K. Nikolaides, G.C. Hadjipanayis, K.V. Rao, Phys. Rev. B 48, 12759 (1993)
P.L. Paulose, V. Nagarajan, Phys. Rev. B 54, 14934 (1996)
S.N. Kaul, P.D. Babu, J. Phys.: Condens. Matter 10, 1563 (1998)
A. Perumal, V. Srinivas, K.S. Kim, S.C. Yu, V.V. Rao, R.A. Dunlap, Phys. Rev. B 65, 64428 (2002)
M. Kopcewicz, A. Grabias, P. Nowicki, D.L. Williamson, J. Appl. Phys. 79, 993 (1996)
A. Makino, T. Bitoh, A. Inoue, T. Masumoto, J. App. Phys. 81, 2736 (1997)
A. Slawska-Waniewska, P. Nowicki, H.K. Lachowicz, P. Gorria, J.M. Barandiarán, A. Hernando, Phys. Rev. B 50, 6465 (1994)
J.S. Garitaonandia, D.S. Schmool, J.M. Barandiarán, Phys. Rev. B 58, 12147 (1998)
J.S. Garitaonandia, P. Gorria, L. Fernández Barqu\’in, J.M. Barandiarán, Phys. Rev. B 61, 6150 (2000)
J.M. Barandiarán, P. Gorria, I. Orue, M.L. Fdez-Gubieda, F. Plazaola, J.C. Gómez Sal, L. Fernández Barqu\’in, L. Fournes, J. Phys.: Condens. Matter 9, 5671 (1997)
T. Moyo, J. Magn. Magn. Mat. 154, 201 (1996)
A. Slawska-Waniewska, M. Gutowski, H. Lachowicz, T. Kulik, H. Matyja, Phys. Rev. B 46, 14594 (1992)
A. Perumal, V. Srinivas, A. Dhar, V.V. Rao, R.A. Dunlap, Phys. Stat. Sol. (a) 178, 783 (2000)
A. Slawska-Waniewska, M. Pont, F.J. Lázaro, J.L. Garc\’ia, P. Nowicki, J.S. Muñoz, J. Magn. Magn. Mater. 140-144, 453 (1995)
H. Tange, T. Matsuyama, A. Chikazawa, K. Konishi, T. Kamimori, J. Magn. Magn. Mat. 177-181, 125 (1998)
K. Jonason, J. Matsson, P. Norblad, Phys. Rev. B 53, 6507 (1996)
A. Hernando, P. Crespo, F.J. Castaño, J. Arcas, M. Multigner, J.M. Barandiarán, L. Fernández Barqu\’in, Phys. Rev. B 61, 3219 (2000)
J.S. Kouvel, M.E. Fisher, Phys. Rev. 136, 1626 (1964)
S.N. Kaul, J. Magn. Magn. Mat. 53, 5 (1985)
G. Sinha, A.K. Majumdar, J. Magn. Magn. Mat. 185, 18 (1998)
K. Balakrishnan, S.N. Kaul, Phys. Rev. B 65, 134412 (2002)
R.I. Bewley, R. Cywinski, Phys. Rev. B 54, 15251 (1996)
J. Souletie, J.L. Tholence, Phys. Rev. B 32, 516 (1985)
M. Fahnle, J. Souletie, J. Phys. C 17, L469 (1984)
I. Skorvánek, S. Skwirblies, J. Kötzler, Phys. Rev. B 64, 18437 (2001)
D. Li, Y. Shiokawa, Y. Haga, E. Yamamoto, Y. Onuki, J. Phys. Soc. Jpn 71, 418 (2002)
A. Ogielski, I. Morgenstern, Phys. Rev. Lett. 54, 928 (1985)
P.C. Hohenberg, B.I. Halperin, Rev. Mod. Phys. 49, 435 (1977)
S.C. Bhargawa, A.H. Morrish, H. Kunkel, Z.W. Li, J. Phys.: Condens. Matter 12, 9667 (2000)
M. Suzuki, Prog. Theo. Phys. 58, 1151 (1977)
T. Bitoh, K. Ohba, M. Takamatsu, T. Shirane, S. Chikazawa. J. Magn. Magn. Mat. 154, 59 (1996)
S. Mukherjee, R. Ranganathan, S.B. Roy, Phys. Rev. B 50, 1084 (1994)
T. Bitoh, K. Ohba, M. Takamatsu, T. Shirana, S. Chikazawa, J. Magn. Magn. Mater. 154, 59 (1996)
D. Fiorani, A.M. Testa, E. Agostinelli, P. Imperatori, R. Caciuffo, D. Rinaldi, P. Tiberto, F. Vinai, P. Allia, J. Magn. Magn. Mat. 202, 123 (1999)
D.H. Ryan, A.D. Beath, E. McCalla, J. Van Lierop, J.M. Cadogan, Phys. Rev. B 67, 104404 (2003)
D.X. Chen, V. Skumryev, J.M.D. Coey, Phys. Rev. B 53, 15014 (1996)
V. Tsurkan, J. Hemberger, M. Klemm, S. Klimm, A. Loidl, S. Horn, R. Tidecks, J. Appl. Phys. 90, 4639 (2001)
E.M. Levin, V.K. Pecharsky, K.A. Gschneidner Jr, J. Appl. Phys. 90, 6255 (2001)
L.F. Kiss, T. Kemény, I. Vincze, L. Gránásy J. Magn. Magn. Mater. 135, 161 (1994)
A.R. Wildes, J.R. Stewart, N. Cowlam, S. Al-Heniti, L.F. Kiss, T. Kemeny. J. Phys.: Condens. Matter 15, 675 (2003)
L. Karlsson, R.L. McGreevy, J.D. Wicks. J. Phys.: Condens. Matter 11, 9249 (1999)
J. Li, Z.L. Wang, T.C. Hufnagel, Phys. Rev. B 65, 144201 (2002)
J.S. Garitaoandia, D.S. Schmool, J.M. Barandiarán, Phys. Rev. B 58, 12147 (1998)
J. Arcas, A. Hernando, J.M. Barandiarán, C. Prados, M. Vázquez, P. Mar\’in, A. Neuweiler. Phys. Rev. B 58, 5193 (1998)
S. Morup, F. Bodker, P.V. Hendriksen, S. Linderoth, Phys. Rev. B 52, 287 (1995)
C. Djurberg, P. Svedlindh, P. Norblad, M.F. Hansen, F. Bodker, S. Morup. Phys. Rev. Lett. 79, 5154 (1997)
M.F. Hansen, P.E. Jönsson, P. Norblad, P. Svendinhl, J. Phys.: Condens. Matter 14, 4901 (2002)
A. Hernando, E. Navarro, M. Multigner, A.R. Yavari, D. Fiorani, M. Rosenberg, G. Filoti, R. Caciuffo, Phys. Rev. B 58, 5181 (1998)
E. Obradó, A. Planes, B. Mart\’inez, Phys. Rev. B 59, 11450 (1999)
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Received: 13 May 2003, Published online: 22 September 2003
PACS:
75.50.Lk Spin glasses and other random magnets - 75.50.Kj Amorphous and quasicrystalline magnetic materials - 75.40.Gb Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.)
J.S. Garitaonandia: Present address: Dept. Física Aplicada, F. Ciencias, Universidad del País Vasco, Bilbao 48080, Spain
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Barquín, F.F., Sal, J.C.G., Gorria, P. et al. Dynamic susceptibility of reentrant Fe-rich inhomogeneous amorphous alloys. Eur. Phys. J. B 35, 3–12 (2003). https://doi.org/10.1140/epjb/e2003-00250-0
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DOI: https://doi.org/10.1140/epjb/e2003-00250-0