Abstract.
Non-equilibrium aging dynamics in 3D Ising spin glass Cu0.5Co0.5Cl2-FeCl3 GBIC has been studied by zero-field cooled (ZFC) magnetization and low frequency AC magnetic susceptibility (f = 0.05 Hz), where \(T_{g} = 3.92 \pm 0.11\) K. The time dependence of the relaxation rate S(t) = (1/H)d\(M_{\rm ZFC}/\)d\(\ln t\) for the ZFC magnetization after the ZFC aging protocol, shows a peak at a characteristic time t cr near a wait time t w (aging behavior), corresponding to a crossover from quasi equilibrium dynamics to non-equilibrium. The time t cr strongly depends on t w , temperature (T), magnetic field (H), and the temperature shift (\(\Delta T\)). The rejuvenation effect is observed in both \(\chi^{\prime}\) and \(\chi^{\prime\prime}\) under the T-shift and H-shift procedures. The memory of the specific spin configurations imprinted during the ZFC aging protocol can be recalled when the system is re-heated at a constant heating rate. The aging, rejuvenation, and memory effects observed in the present system are discussed in terms of the scaling concepts derived from numerical studies on 3D Edwards-Anderson spin glass model.
Similar content being viewed by others
References
D.S. Fisher, D.A. Huse, Phys. Rev. B 38, 373 (1988); D.S. Fisher, D.A. Huse, Phys. Rev. B 38, 386 (1988)
T. Komori, H. Yoshino, H. Takayama, J. Phys. Soc. Jpn 68, 3387 (1999); T. Komori, H. Yoshino, H. Takayama, J. Phys. Soc. Jpn 69, 1192 (2000); T. Komori, H. Yoshino, H. Takayama, J. Phys. Soc. Jpn 69, Suppl. A, 335 (2000)
H. Yoshino, A. Lemaître, J.-P. Bouchaud, Eur. Phys. J. B 20, 367 (2001)
M. Picco, F. Ricci-Tersenghi, F. Ritort, Eur. Phys. J. B 21, 211 (2001)
L.W. Bernardi, H. Yoshino, K. Hukushima, H. Takayama, A. Tobo, A. Ito, Phys. Rev. Lett. 86, 720 (2001)
H. Yoshino, K. Hukushima, H. Takayama, Phys. Rev. B 66, 064431 (2002)
H. Takayama, K. Hukushima, J. Phys. Soc. Jpn 71, 3003 (2002)
H. Takayama, J. Mag. Mag. Mater. 272-276, 256 (2004)
L. Berthier, J.-P. Bouchaud, Phys. Rev. Lett. 90, 059701 (2003)
L. Lundgren, in Relaxation in Complex Systems and Related Topics, edited by I.A. Campbell, C. Giovannella (Plenum Press, New York, 1990), p. 3
J. Hammann, M. Ocio, E. Vincent, in Relaxation in Complex Systems and Related Topics, edited by I.A. Campbell, C. Giovannella (Plenum Press, New York, 1990), p. 11
P. Nordblad, P. Svedlindh, L. Lundgren, L. Sandlund, Phys. Rev. B 33, 645 (1986)
P. Granberg, L. Sandlund, P. Nordblad, P. Svedlindh, L. Lundgren, Phys. Rev. B 38, 7097 (1988)
C. Djurberg, K. Jonason, P. Nordblad, Eur. Phys. J. B 10, 15 (1999)
Y.G. Joh, R. Orbach, G.G. Wood, J. Hammann, E. Vincent, Phys. Rev. Lett. 82, 438 (1999)
T. Jonsson, K. Jonason, P. Jönsson, P. Nordblad, Phys. Rev. B 59, 8770 (1999)
K. Jonason, P. Nordblad, E. Vincent, J. Hammann, J.-P. Bouchaud, Eur. Phys. J. B 13, 99 (2000)
J.-P. Bouchaud, V. Depuis, J. Hammann, E. Vincent, Phys. Rev. B 65, 024439 (2001)
V. Dupuis, E. Vincent, J.-P. Bouchaud, J. Hammann, A. Ito, H. Aruga Katori, Phys. Rev. B 64, 174204 (2001)
P.E. Jönsson, H. Yoshino, P. Nordblad, H. Aruga Katori, A. Ito, Phys. Rev. Lett. 88, 257204 (2002)
P.E. Jönsson, H. Yoshino, P. Nordblad, Phys. Rev. Lett. 89, 097201 (2002)
V.S. Zotev, G.G. Kenning, R. Orbach, Phys. Rev. B 66, 014412 (2002)
V.S. Zotev, G.F. Rodriguez, R. Orbach, E. Vincent, J. Hammann, Phys. Rev. B 67, 184422 (2003)
F. Bert, V. Dupuis, E. Vincent, J. Hammann, J.-P. Bouchaud, Phys. Rev. Lett. 92, 167203 (2004)
G.F. Rodriguez, G.G. Kenning, R. Orbach, Phys. Rev. Lett. 91, 037203 (2003)
I.S. Suzuki, M. Suzuki, Phys. Rev. B 68, 094424 (2003)
G.G. Kenning, G.F. Rodriguez, R. Orbach, arXiv: cond-mat/0402509 (2004)
P.E. Jönsson, H. Yoshino, P. Nordblad, Phys. Rev. Lett. 90, 059702 (2003)
J.-O. Andersson, J. Mattsson, P. Svedlindh, Phys. Rev. B 46, 8297 (1992)
J.R.L. de Almeida, D.J. Thouless, J. Phys. A 11, 983 (1978)
Author information
Authors and Affiliations
Corresponding author
Additional information
Received: 13 September 2004, Published online: 5 November 2004
PACS:
75.50.Lk Spin glasses and other random magnets - 75.10.Nr Spin-glass and other random models - 75.40.Gb Dynamic properties
Rights and permissions
About this article
Cite this article
Suzuki, M., Suzuki, I.S. Aging, rejuvenation, and memory effects in short-range Ising spin glass: Cu \(\mathsf{_{0.5}}\)Co \(\mathsf{_{0.5}}\)Cl\(\mathsf{_{2}}\)-FeCl\(\mathsf{_{3}}\) graphite bi-intercalation compound. Eur. Phys. J. B 41, 457–470 (2004). https://doi.org/10.1140/epjb/e2004-00339-x
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2004-00339-x