Abstract
The field dependence of the magnetic moment of square (100×100) Josephson networks was examined with the use of a SQUID magnetometer. The field dependence of the magnetic moment was found to be regular with features corresponding to integer and half-integer numbers of flux quanta per cell. At temperatures below 5.8 K, jumps in the magnetization curves associated with the entry and exit of avalanches of tens and hundreds of fluxons were observed. It was shown that the probability distribution of these processes corresponded to the theory of self-organized criticality. An avalanche character of flux motion was observed at temperatures at which the size of the fluxons did not exceed the size of the cell, that is, when a discrete vortex structure occurred.
Similar content being viewed by others
References
C. J. Lobb, Physica B+C (Amsterdam) 126, 319 (1984); D. W. Abraham, C. J. Lobb, and M. Tinkham, Phys. Rev. B 27, 150 (1983).
H. S. J. van der Zant, F. C. Fritschy, T. P. Orlando, and J. E. Mooij, Europhys. Lett. 18, 343 (1992); Phys. Rev. B 47, 295 (1993); H. S. J. van der Zant, F. C. Fritschy, W. J. Elion, et al., Phys. Rev. Lett. 69, 2971 (1992); C. D. Chen, P. Delsing, D. B. Haviland, et al., Phys. Rev. B 51, 15645 (1995).
P. Barbara, A. B. Cawthorne, S. V. Shitov, and C. J. Lobb, Phys. Rev. Lett. 82, 1963 (1999).
K. K. Likharev and V. K. Semenov, IEEE Trans. Appl. Supercond. 1, 13 (1991).
D. Domínguez and J. V. José, Phys. Rev. B 53, 11 692 (1996).
D.-X. Chen, J. J. Moreno, and A. Hernando, Phys. Rev. B 53, 6579 (1996); D.-X. Chen, A. Sanchez, and A. Hernando, Phys. Rev. B 50, 10 342 (1994).
V. A. Oboznov and A. V. Ustinov, Phys. Lett. A 139, 481 (1989).
G. L. Romani, S. J. Williamson, and L. Kaufman, Rev. Sci. Instrum. 53, 1815 (1982).
S. M. Ishikaev, S. M. Ishikaev, and E. V. Matizen, High Temperature Superconductivity: New Materials and Properties, Joint Symposium of the SB RAS and the CNEAS TU, Tohoku University, Japan, 1999, p. 65.
G. Yu. Logvenov, V. A. Oboznov, V. V. Ryazanov, and A. V. Ustinov, Czech. J. Phys. 46, 687 (1996).
L. N. Vu, M. S. Wistrom, and D. J. van Harlingen, Appl. Phys. Lett. 63, 1693 (1993); M. S. Rzchowski, S. P. Benz, M. Tinkham, and C. J. Lobb, Phys. Rev. B 42, 2041 (1990).
T. E. Trias, J. R. Philips, H. S. J. van der Zant, and T. P. Orlando, IEEE Trans. Appl. Supercond. 5, 2707 (1995).
J. R. Philips, H. S. J. van der Zant, J. White, and T. P. Orlando, Phys. Rev. B 47, 5219 (1993).
G. A. Held, D. H. Solina, D. T. Keane, et al., Phys. Rev. Lett. 65, 1120 (1990).
P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); Phys. Rev. A 38, 364 (1988).
H. J. S. Feder and J. Feder, Phys. Rev. Lett. 66, 2669 (1991).
M. A. Lebyodkin, Y. Brechet, Y. Estrin, and L. P. Kubin, Phys. Rev. Lett. 74, 4758 (1995); M. A. Lebedkin and L. R. Dunin-Barkovskii, Zh. Éksp. Teor. Fiz. 113, 1816 (1998) [JETP 86, 993 (1998)].
H. Takayasu and Matsuzaki, Phys. Lett. A 131, 244 (1988); J. M. Carlson and J. S. Langer, Phys. Rev. Lett. 62, 2632 (1989); Phys. Rev. A 40, 6470 (1989); K. Chen, P. Bak, and S. P. Obukhov, Phys. Rev. A 43, 625 (1991).
J. Kertesz and L. B. Kiss, J. Phys. A 23, L433 (1990).
D. Dhar, Phys. Rev. Lett. 64, 1613 (1990).
O. Pla and F. Nori, Phys. Rev. Lett. 67, 919 (1991).
S. L. Ginzburg, Zh. Éksp. Teor. Fiz. 106, 607 (1994) [JETP 79, 334 (1994)].
S. L. Ginzburg and N. E. Savitskaya, Pis’ma Zh. Éksp. Teor. Fiz. 68, 688 (1998) [JETP Lett. 68, 719 (1998)].
S. L. Ginzburg, M. A. Pustovoit, and N. E. Savitskaya, Phys. Rev. E 57, 1319 (1998).
S. L. Ginzburg and N. E. Savitskaya, Zh. Éksp. Teor. Fiz. 117, 227 (2000) [JETP 90, 202 (2000)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 1, 2000, pp. 39–44.
Original Russian Text Copyright © 2000 by Ishikaev, Matizen, Ryazanov, Oboznov, Veretennikov.
Rights and permissions
About this article
Cite this article
Ishikaev, S.M., Matizen, É.V., Ryazanov, V.V. et al. Magnetic properties of two-dimensional Josephson networks: Self-organized criticality in magnetic flux dynamics. Jetp Lett. 72, 26–29 (2000). https://doi.org/10.1134/1.1311402
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1311402