Abstract
Modulation instability of nonlinear electromagnetic excitations (oscillating with the Josephson frequency) of finite amplitude is investigated in a Josephson junction in a film of a nonmagnetic, as well as of a magnetic (two-or three-dimensional), superconductor. The instability is accompanied by a nonlinear shift in frequency. Dispersion relations are derived for the time increment of small perturbations of the amplitude. It is shown that, for this type of excitations in a Josephson junction in a thin film of nonmagnetic superconductor, modulation instability develops only in a certain finite range of wave vectors, whereas in a thin film of a two-or three-dimensional magnetic superconductor it develops for any wave vector.
Similar content being viewed by others
References
A. I. Buzdin, L. N. Bulaevskii, M. L. Kulich, and S. V. Panyukov, Usp. Fiz. Nauk 144(4), 597 (1984) [Sov. Phys. Usp. 27, 927 (1984)].
A. I. Buzdin and L. N. Bulaevskii, Usp. Fiz. Nauk 149(1), 45 (1986) [Sov. Phys. Usp. 29, 412 (1986)].
Yu. A. Izyumov, N. M. Plakida, and Yu. N. Skryabin, Usp. Fiz. Nauk 159(4), 621 (1989) [Sov. Phys. Usp. 32, 1060 (1989)].
Superconductivity in Ternary Compounds, Ed. by E. Fisher and M. Maple (Springer, Heidelberg, 1982; Mir, Moscow, 1985).
Physical Properties of High Temperature Superconductors, Ed. by D. M. Ginsberg (World Sci., Singapore, 1989; Mir, Moscow, 1990), Chaps. 4, 6.
V. I. Karpman, Non-Linear Waves in Dispersive Media (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).
B. B. Kadomtsev, Collective Phenomena in a Plasma (Nauka, Moscow, 1976).
G. A. Askar’yan, Zh. Éksp. Teor. Fiz. 42(6), 1567 (1962) [Sov. Phys. JETP 15, 1088 (1962)]; V. I. Bespalov and V. I. Talanov, Pis’ma Zh. Éksp. Teor. Fiz. 3 (12), 471 (1966) [JETP Lett. 3, 307 (1966)].
M. J. Lighthill, J. Inst. Math. Appl. 1(2), 269 (1965); Proc. R. Soc. London, Ser. A 229, 1, 28 (1967).
A. Hasegawa, Opt. Lett. 9(3), 288 (1984).
N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, Izv. Vyssh. Uchebn. Zaved. Radiofiz. 31(2), 244 (1988).
N. M. Frcolani, M. G. Forest, and D. W. McLaughlin, Lett. Appl. Math. 23(1), 149 (1986).
M. Islam, Ultra Fast Optical Devices (Oxford Univ. Press, Oxford, 1993).
M. Alfimov, V. M. Eleonsky, and N. E. Kulagin, Chaos 2(4), 454 (1992).
Yu. M. Aliev, V. P. Silin, and S. A. Uryupin, Sverkhprovodimost: Fiz. Khim. Tekh. 5(2), 228 (1992).
A. Gurevich, Phys. Rev. B 46(5), 3187 (1992).
Yu. M. Ivanchenko and T. K. Soboleva, Pis’ma Zh. Éksp. Teor. Fiz. 51(2), 100 (1990) [JETP Lett. 51, 114 (1990)].
Yu. M. Ivanchenko and T. K. Soboleva, Phys. Lett. A 147(1), 65 (1990).
Yu. M. Ivanchenko and T. K. Soboleva, Fiz. Tverd. Tela (Leningrad) 32(7), 2029 (1990) [Sov. Phys. Solid State 32, 1181 (1990)].
R. G. Mints and I. B. Snapiro, Phys. Rev. B 51(5), 3054 (1995).
A. I. Lomtev, Pis’ma Zh. Éksp. Teor. Fiz. 69(2), 132 (1999) [JETP Lett. 69, 148 (1999)].
A. I. Lomtev, Fiz. Tverd. Tela (St. Petersburg) 42(1), 16 (2000) [Phys. Solid State 42, 15 (2000)].
A. I. Lomtev, Zh. Tekh. Fiz. 70(9), 63 (2000) [Tech. Phys. 45, 1159 (2000)].
I. O. Kulik and I. K. Yanson, in Josephson Effect in Superconducting Tunnel Structures (Nauka, Moscow, 1970).
Yu. E. Kuzovlev and A. I. Lomtev, Zh. Éksp. Teor. Fiz. 111(5), 1803 (1997) [JETP 84, 986 (1997)].
A. I. Lomtev, Zh. Éksp. Teor. Fiz. 113(6), 2256 (1998) [JETP 86, 1234 (1998)].
F. Kh. Abdullaev, Pis’ma Zh. Tekh. Fiz. 23(2), 8 (1997) [Tech. Phys. Lett. 23, 52 (1997)].
B. I. Halperin and P. C. Hohenberg, Phys. Rev. 188(2), 898 (1969).
P. M. Richards and M. B. Salamon, Phys. Rev. B 9(1), 32 (1974).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Tverdogo Tela, Vol. 45, No. 8, 2003, pp. 1358–1363.
Original Russian Text Copyright © 2003 by Lomtev.
Rights and permissions
About this article
Cite this article
Lomtev, A.I. Modulation instability of electromagnetic excitations in nonlocal Josephson electrodynamics of thin films of nonmagnetic and magnetic (two-and three-dimensional) superconductors. Phys. Solid State 45, 1423–1428 (2003). https://doi.org/10.1134/1.1602873
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1602873