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Static and dynamic interactions between Josephson junctions
Rev. Mod. Phys. 56, 431 – Published 1 July, 1984
DOI: https://doi.org/10.1103/RevModPhys.56.431
Abstract
This review covers the experimental and theoretical progress over the last 15 years in the study of systems of interacting Josephson junctions. Such systems are of interest for device applications and for investigations of nonequilibrium phenomena in superconductors. In the description of coupled Josephson elements the emphasis is on the "physics" involved in a number of interaction mechanisms and not so much on the technical problems encountered in the construction of arrays of coupled juntions.
References (161)
- Abraham, D. W., C. J. Lobb, M. Tinkham, and T. M. Klapwijk, 1982, Phys. Rev. B 26, 5268
- Amatuni, L. E., V. N. Gubankov, A. V. Zaitsev, and G. A. Ovsyannikov, 1982, Zh. Eksp. Teor. Fiz. 83, 1851 [Sov. Phys.—JETP 56, 1070 (1982)]
- Ambegaokar, V., and M. R. Arai, 1981, Appl. Phys. Lett. 39, 763
- Ambegaokar, V., and A. Baratoff, 1963, Phys. Rev. Lett. 10, 486 ibid.11, 104(E) (1963)
- Aponte, J. M., and M. Tinkham, 1983, J. Low Temp. Phys. 51, 189
- Artemenko, S. N., and A. F. Volkov, 1979, Usp. Fiz. Nauk 128, 3 [Sov. Phys.—Usp. 22, 295 (1979)]
- Artemenko, S. N., A. F. Volkov, and A. V. Zaitsev, 1978, J. Phys. (Paris) Colloq. 39, C6-588
- Aslamazov, L. G., and A. I. Larkin, 1969, Zh. Eksp. Teor. Fiz. Pis'ma Red. 9, 150 [JETP Lett. 9, 87 (1969)]
- Bindslev Hansen, J., 1981, "Static and dynamic interactions in arrays of superconducting Josephson weak links," Ph.D. thesis (University of Copenhagen)
- Bindslev Hansen, J., 1982, Phys. Scr. 25, 844
- Bindslev Hansen, J., T. F. Finnegan, and P. E. Lindelof, 1981, IEEE Trans. Magn. MAG-17, 95
- Bindslev Hansen, J., and P. E. Lindelof, 1980, "Nonequilibrium phenomena in Josephson junctions," in Proceedings of the 2nd SQUID Conference, edited by H. D. Hahlbohm and H. Lübbig (Walter de Gruyter, Berlin), p. 29
- Blackburn, J. A., 1983, J. Low Temp. Phys. 50, 475
- Blackburn, J. A., B. B. Schwartz, and A. Baratoff, 1972, Phys. Lett. 42A, 31
- Blackburn, J. A., B. B. Schwartz, and A. Baratoff, 1975, J. Low Temp. Phys. 20, 523
- de Bruyn Ouboter, R., and A. Th. A. M. De Waele, 1970, "Superconducting point contacts weakly connecting two superconductors," in Progress in Low Temperature Physics, edited by C. J. Gorter (North-Holland, Amsterdam), Vol. 6, p. 243
- Carlson, R. V., and A. M. Goldman, 1975, Phys. Rev. Lett. 34, 11
- Carlson, R. V., and A. M. Goldman, 1976, J. Low Temp. Phys. 25, 67
- Chi, C. C., L. Krusin-Elbaum, and C. C. Tsuei, 1981, Physica 108B, 1085
- Chiao, R. Y., and P. T. Parrish, 1976, J. Appl. Phys. 47, 2639
- Claasen, J. H., and P. L. Richards, 1978, J. Appl. Phys. 49, 4117
- Clark, T. D., 1968, Phys. Lett. 27A, 585
- Clark, T. D., 1971a, "Interaction of microwaves with point contact Josephson junction arrays," in Proceedings of the 12th Conference on Low-Temperature Physics, Kyoto, 1970, edited by E. Kanda (Academic Press of Japan, Tokyo), p. 449
- Clark, T. D., 1971b, Physica 55, 432
- Clark, T. D., 1973, Phys. Rev. B 8, 137
- Clark, T. D., 1974, Rev. Phys. Appl. 9, 207
- Clark, T. D., and P. E. Lindelof, 1975, "Analogous computer simulation of the phase-locked, collectively driven state in two-dimensional Josephson junction arrays," in Low Temperature Physics—LT14, edited by M. Krusius and M. Vuorio (North-Holland, Amsterdam), Vol. 4 (Techniques and Special Topics), p. 218
- Clark, T. D., and P. E. Lindelof, 1976, Appl. Phys. Lett. 29, 751
- Daalmans, G. M., T. M. Klapwijk, and J. E. Mooij, 1977, IEEE Trans. Magn. MAG-13, 719
- Dai, Y.-D., and Y. H. Kao, 1980, "Coherent radiation of Josephson junction arrays," in Proceedings of the 2nd SQUID Conference, edited by H. D. Hahlbohm and H. Lübbig (Walter de Gruyter, Berlin), p. 921
- Dai, Y.-D., and Y. H. Kao, 1981a, J. Appl. Phys. 52, 4135
- Dai, Y.-D., and Y. H. Kao, 1981b, J. Low Temp. Phys. 43, 411
- Dai, Y.-D., W. J. Yeh, and Y. H. Kao, 1982, J. Low Temp. Phys. 48, 373
- Davidson, A., 1981, IEEE Trans. Magn. MAG-17, 103
- Davidson, A., and C. C. Tsuei, 1981, Physica 108B, 1243
- Deakin, A. S., and M. A. H. Nerenberg, 1982, Phys. Rev. B 25, 1559
- Deakin, A. S., and M. A. H. Nerenberg, 1983, Phys. Rev. B 27, 6954
- Deminova, G. F., and A. S. Kovalenko, 1979, IEEE Trans. Magn. MAG-15, 291
- De Waele, A. Th. A. M., W. H. Kraan, and R. de Bruyn Ouboter, 1968, Physica 40, 302
- Dolan, G. J., and L. D. Jackel, 1977, Phys. Rev. Lett. 39, 1628
- Faris, S. M., S. I. Raider, W. J. Gallagher, and R. E. Drake, 1983, IEEE Trans. Magn. MAG-19, 1293
- Feldman, M. H., P. T. Parrish, and R. Y. Chiao, 1975, J. Appl. Phys. 46, 4031
- Feynman, R., 1965, The Feynman Lectures on Physics (Addison-Wesley, Reading), Vol. 3
- Finnegan, T. F., L. B. Holdeman, and S. Wahlsten, 1977, IEEE Trans. Magn. MAG-13, 392
- Finnegan, T. F., and S. Wahlsten, 1972a, Appl. Phys. Lett. 21, 541
- Finnegan, T. F., and S. Wahlsten, 1972b, "Microwave emission from coupled Josephson junctions," in Low Temperature Physics—LT13 (1972), edited by K. D. Timmerhaus, W. J. O'Sullivan, and E. F. Hammel (Plenum, New York), Vol. 3, p. 272
- Finnegan, T. F., and S. Wahlsten, 1978, Physica 94B, 219
- Finnegan, T. F., J. Wilson, and J. Toots, 1975, IEEE Trans. Magn. MAG-11, 821
- Fiory, A. T., A. F. Hebard, and S. Somekh, 1978, Appl. Phys. Lett. 32, 73
- Frank, D., H. A. Notarys, and J. E. Mercercau, 1978, "Fluxoid coupling between superconducting weak links," preprint, California Institute of Technology
- Garvey, S., S. Logan, R. Rowe, and W. A. Little, 1983, Appl. Phys. Lett. 42, 1048
- Giaever, I., 1965, Phys. Rev. Lett. 14, 904
- Giovannini, B., L. Weiss-Parmeggiani, and B. T. Ulrich, 1978, Helv. Phys. Acta 51, 69
- Goodall, F., 1979, IEEE Trans. Magn. MAG-15, 458
- Gray, K. E., 1978, Appl. Phys. Lett. 32, 392
- Gray, K. E.Gray, K. E., 1981, Ed., Non-Equilibrium Superconductivity, Phonons, and Kapitza Boundaries (Plenum, New York)
- Greiner, J. H., C. J. Kircher, S. P. Klepner, S. K. Lahiri, A. J. Warnecke, S. Basavaiah, E. T. Yen, J. M. Baker, P. R. Brosius, H.-C. W. Huang, M. Murakami, and I. Ames, 1980, IBM J. Res. Dev. 24, 195
- Gubankov, V. N., L. S. Kuz'min, K. K. Likharev, and V. K. Semenov, 1975, Zh. Eksp. Teor. Fiz. 68, 2301 [Sov. Phys.—JETP 41, 1150 (1976)]
- Gubankov, V. N.L. S. Kuz'minK. K. LikharevV. K. SemenovGubser, D. V., T. L. Francavilla, S. Wolf, and J. Laibowitz, 1980, Eds., Inhomogeneous Superconductors—1979, AIP Conference Proceedings No. 58 (AIP, New York)
- Gupta, K. C., R. Garg, and I. J. Bahl, 1979, Microstrip Lines and Slotlines (Artech House, Dedham)
- Harris, R. E., and C. A. Hamilton, 1978, "Fast superconducting instruments," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. S. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 448
- Hebard, A. F., and R. H. Eich, 1978, J. Appl. Phys. 49, 338
- Hohenwarter, G. K., and J. B. Beyer, 1981, IEEE Trans. Magn. MAG-17, 826
- Howard, W., and Y. H. Kao, 1975, "Current-phase relationship of coupled semiconducting weak links," in Low Temperature Physics—LT14, edited by M. Krusius and M. Vuorio (North-Holland, Amsterdam), Vol. 4 (Techniques and Special Topics), p. 144
- Hunt, B. D., and R. A. Buhrman, 1983, IEEE Trans. Magn. MAG-19, 1155
- Imry, Y., and L. S. Schulman, 1978, J. Appl. Phys. 49, 749
- Jain, A. K., A. M. Kadin, J. E. Lukens, P. Mankiewich, R. H. Ono, and D. B. Schwartz, 1980, "Microwave generation using coherent arrays of Josephson junctions," in Proceedings of the 2nd SQUID Conference, edited by H. D. Hahlbohm and H. Lübbig (Walter de Gruyter, Berlin), p. 939
- Jain, A. K., A. M. Kadin, J. E. Lukens, P. Mankiewich, R. H. Ono, and D. B. Schwartz, 1981, IEEE Trans. Magn. MAG-17, 99
- Jain, A. K., K. K. Likharev, J. E. Lukens, and J. E. Sauvegeau, 1982, Appl. Phys. Lett. 41, 556 ibid.42, 305(E) (1983)
- Jain, A. K., K. K. Likharev, J. E. Lukens, and J. E. Sauvegeau, 1982, preprint, State University of New York at Stony Brook
- Jain, A. K., J. E. Lukens, Kin Li, R. D. Sandell, and C. Varmazis, 1979, "Current-voltage characteristic of interacting Josephson junctions," in Inhomogeneous Superconductors, AIP Conference Proceedings No. 58, edited by D. Gubser (AIP, New York), p. 265
- Jain, A. K., P. Mankiewich, and J. E. Lukens, 1980, Appl. Phys. Lett. 36, 774
- Jillie, D. W., 1976, "Interactions between coupled thin-film microbridge Josephson junctions," Ph.D. thesis (State University of New York at Stony Brook)
- Jillie, D. W., 1981, Physica 107B, 741
- Jillie, D. W., J. E. Lukens, and Y. H. Kao, 1975, IEEE Trans. Magn. MAG-11, 671
- Jillie, D. W., J. E. Lukens, and Y. H. Kao, 1977a, Phys. Rev. Lett. 38, 915
- Jillie, D. W., J. E. Lukens, and Y. H. Kao, 1977b, IEEE Trans. Magn. MAG-13, 578
- Jillie, D. W., J. E. Lukens, Y. H. Kao, and G. J. Dolan, 1976, Phys. Lett. 55A, 381
- Jillie, D. W., M. A. H. Nerenberg, and J. A. Blackburn, 1980, Phys. Rev. B 21, 125
- Josephson, B. D., 1962, Phys. Lett. 1, 251
- Josephson, B. D., 1964, Rev. Mod. Phys. 36, 216
- Josephson, B. D., 1965, Adv. Phys. 14, 419
- Kadin, A. M., 1979, "Non-equilibrium phenomena in superconducting phase-slip centers," Ph.D. thesis (Harvard University)
- Kadin, A. M., L. N. Smith, and W. J. Skocpol, 1980, J. Low Temp. Phys. 38, 497
- Kadin, A. M., C. Vermazis, and J. E. Lukens, 1981, Physica 108B, 159
- Kaplan, S. B., J. R. Kirtley, and D. N. Langenberg, 1977, Phys. Rev. Lett. 39, 291
- Kautz, R. L., 1980, Appl. Phys. Lett. 36, 386
- Khlus, V. A., A. S. Rozhavskii, and I. O. Kulik, 1979, Sov. J. Low Temp. Phys. 5, 169
- Kobayashi, T., K. Hamasaki, N. Kondoh, T. Komata, and T. Yamashita, 1983, Appl. Phys. Lett. 42, 475
- Koyanagi, M., T. Endo, and A. Nakamura, 1979, "Higher standard voltage generated by multiple Josephson junctions," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. C. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 187
- Krech, W., and H. H. Gross, 1979, Fiz. Nizk. Temp. 5, 433 [Sov. J. Low Temp. Phys. 5, 207 (1979)]
- Kuzmin, L. S., K. L. Likharev, G. A. Ovsyannikov, 1981, Radio Eng. Electron. Phys. 26, 102
- Levinsen, M. T., R. Y. Chiao, M. J. Feldman, and B. A. Tucker, 1977, Appl. Phys. Lett. 31, 776
- Levinsen, M. T., N. F. Pedersen, O. H. Sørensen, B. Dueholm, and J. Mygind, 1980, IEEE Trans. Electron Devices (special issue on Josephson junction devices) ED-27, No. 10, p. 1928
- Likharev, K. K., 1979, Rev. Mod. Phys. 51, 101
- Likharev, K. K., L. S. Kuzmin, and G. A. Ovsyannikov, 1981, IEEE Trans. Magn. MAG-17, 111
- Likharev, K. K., and V. K. Semenov, 1972, JETP Lett. 15, 442
- Lindelof, P. E., 1978, J. Phys. (Paris) Colloq. 39, C6-1411
- Lindelof, P. E., 1981, Rep. Prog. Phys. 44, 949
- Lindelof, P. E., and J. Bindslev Hansen, 1977, J. Low Temp. Phys. 29, 369
- Lindelof, P. E., and J. Bindslev Hansen, 1981, "Short-range interaction between two superconducting weak links," in Non-Equilibrium Superconductivity, Phonons, and Kapitza Boundaries, edited by K. E. Gray (Plenum, New York), Chap. 19. p. 593
- Lindelof, P. E., J. Bindslev Hansen, and P. Jespersen, 1979, "Superconducting microbridges and arrays," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. S. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 322
- Lindelof, P. E., J. Bindslev Hansen, J. Mygind, N. F. Pedersen, and O. H. Sørensen, 1977, Phys. Lett. 60A, 451
- Little, W. A., 1978, in Applications of Closed-Cycle Cryocoolers to Small Superconducting Devices, Natl. Bur. Stand. Spec. Publ. 508, 75
- Lukens, J. E., R. D. Sandell, and C. Varmazis, 1979, "Fabrication of microbridge Josephson junctions using electron beam lithography," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. S. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 298
- Martinoli, P., 1978, Phys. Rev. B 17, 1175
- Meyer, J. D., and G. von Minnigerode, 1972, Phys. Lett. 38A, 529
- Meyer, J. D., and R. Tidecks, 1977, Solid State Commun. 24, 643
- Mineev, M. G., G. S. Mkrtchyan, and V. V. Schmidt, 1981, J. Low Temp. Phys. 45, 497
- Mooij, J. E., C. A. Gorter, and J. E. Noordam, 1974, Rev. Phys. Appl. 9, 173
- Nerenberg, M. A. H., J. A. Blackburn, and D. W. Jillie, 1980, Phys. Rev. B 21, 118
- Neumann, L. G., Y.-D. Dai, and Y. H. Kao, 1981, Appl. Phys. Lett. 39, 648
- Neumann, L. G., Y.-D. Dai, and Y. H. Kao, 1982, J. Low Temp. Phys. 49, 457
- Notarys, H. A., and J. E. Mercereau, 1971, Physica 55, 424
- Octavio, M., and W. J. Skocpol, 1979, J. Appl. Phys. 50, 3505
- Palmer, D. W., and J. E. Mercereau, 1974, Appl. Phys. Lett. 25, 467
- Palmer, D. W., and J. E. Mercereau, 1975, IEEE Trans. Magn. MAG-11, 667
- Palmer, D. W., and J. E. Mercereau, 1977, Phys. Lett. 61A, 135
- Parmenter, R. M., 1967, Phys. Rev. 154, 353
- Parrish, P. T., and R. Y. Chaio, 1974, Appl. Phys. Lett. 25, 627
- Pethick, C. J., and H. Smith, 1979, Ann. Phys. (N.Y.) 119, 133
- Pippard, A. B., J. G. Shepherd, and D. A. Tindall, 1970, Proc. R. Soc. London, Ser. A 324, 17
- Repici, D. J., W. D. Gregory, M. Behravesh, and T. Thompson, 1972, "Radiation generation and detection characteristics of arrays of point-contact Josephson junctions," in Proceedings of Applications of Superconductors Conference, Annapolis, IEEE Conf. Rec. NCH0682-5-TABSC, p. 701
- Resnick, J., J. C. Garland, J. T. Boyd, S. Shoemaker, and R. S. Newrock, 1981, Phys. Rev. Lett. 47, 1542
- Rudner, S., and T. Claeson, 1979, Appl. Phys. Lett. 34, 711
- Sanchez, D. H., J.-L. Berchier, 1978, J. Low Temp. Phys. 43, 65
- Sandell, R. D., C. Varmazis, A. K. Jain, and J. E. Lukens, 1979a, "Study of the properties of coherent microbridges coupled by external shunts," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. S. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 327
- Sandell, R. D., C. Varmazis, A. K. Jain, and J. E. Lukens, 1979b, IEEE Trans. Magn. MAG-15, 462
- Schmid, A., 1981, "Kinetic equations for dirty superconductors," in Non-Equilibrium Superconductivity, Phonons, and Kapitza Boundaries, edited by K. E. Gray (Plenum, New York), Chap. 14, p. 423
- Schmid, A., and G. Schön, 1975a, Phys. Rev. Lett. 34, 941
- Schmid, A., and G. Schön, 1975b, J. Low Temp. Phys. 20, 207
- Silver, A. H., 1974, IEEE Trans. Magn. MAG-15, 268
- Silver, A. H., D. C. Pridmore-Brown, and J. P. Hurrell, 1981, IEEE Trans. Magn. MAG-17, 412
- Silver, A. H., and J. E. Zimmerman, 1967, Phys. Rev. 158, 423
- Skocpol, W. J., 1981, "Nonequilibrium effects in 1-dim. superconductors," in Non-Equilibrium Superconductivity, Phonons, and Kapitza Boundaries, edited by K. E. Gray (Plenum, New York), Chap. 18, p. 559
- Skocpol, W. J., M. R. Beasley, and M. Tinkham, 1974, J. Low Temp. Phys. 16, 145
- Skocpol, W. J., and L. D. Jackel, 1981, Physica 108B, 1021
- Sørensen, O. H., N. F. Pedersen, J. Mygind, B. Dueholm, T. F. Finnegan, J. Bindslev Hansen, and P. E. Lindelof, 1981, IEEE Trans. Magn. MAG-17, 107
- Stern, M., W. Howard, and Y. H. Kao, 1978, J. Phys. (Paris) Colloq. 39, C6-577
- Stern, M. B., and Y. H. Kao, 1981, Physica 108B, 995
- Stuivinga, M., J. E. Mooij, and T. M. Klapwijk, 1981, Physica 108B, 1023
- Stuivinga, M., C. L. G. Ham, T. M. Klapwijk, and J. E. Mooij, 1983, J. Low Temp. Phys. 53, 633
- Sullivan, D. B., L. B. Holdeman, and R. J. Soulen, 1978, "The future of superconducting instruments in metrology," in Future Trends in Superconductive Electronics, AIP Conference Proceedings No. 44, edited by B. S. Deaver, Jr., C. M. Falco, J. H. Harris, and S. A. Wolf (AIP, New York), p. 171
- Sullivan, D. B., J. E. Zimmerman, and J. T. Ives, 1981, "Operation of a practical SQUID gradiometer in a low-power stirling cryocooler," in Refrigeration for Cryogenic Sensors and Electronic Systems, NBS Special Publication No. 607, p. 186
- Tilley, D. R., 1970, Phys. Lett. 33A, 205
- Tinkham, M., 1979, "Non-Equilibrium superconductivity," in Festkörperprobleme (Advances in Solid State Physics), edited by J. Treusch (Vieweg, Braunschweig), Vol. 19, p. 363
- Tinkham, M., and J. Clarke, 1972, Phys. Rev. Lett. 28, 1366
- Tinkham, M., M. Octavio, and W. J. Skocpol, 1977, J. Appl. Phys. 48, 1311
- Tinkham, M., D. W. Abraham, and C. J. Lobb, 1983, Phys. Rev. B 28, 6578
- Tsang, W. T., and S. Wang, 1974, Appl. Phys. Lett. 24, 519
- Varmazis, C., R. D. Sandell, A. K. Jain, and J. E. Lukens, 1978, Appl. Phys. Lett. 33, 357
- Voss, R. F., and R. A. Webb, 1982, Phys. Rev. B 25, 3446
- Vystavkin, A. N., V. N. Gubankov, L. S. Kuz'min, K. K. Likharev, V. V. Migulin, and V. K. Semenov, 1974, Rev. Phys. Appl. 9, 79
- Wahlsten, S., S. Rudner, and T. Claeson, 1978, J. Appl. Phys. 49, 4248
- Waldram, J. R., 1975, Proc. R. Soc. London, Ser. A 345, 231
- Waldram, J. R., 1976, Rep. Prog. Phys. 39, 751
- Way, Y. C., K. C. Hsu, and Y. H. Kao, 1977, Phys. Rev. Lett. 39, 1684
- Webb, R. A., R. F. Voss, G. Grinstein, and P. M. Horn, 1983, Phys. Rev. Lett. 51, 690
- Weiss-Parmeggiani, L., 1982, "Dérivation microscopique de la Fonctionelle de Ginzburg-Landau pour un réseau de jonctions Josephson," Ph.D. thesis (University of Geneva)
- Zhang, L., Y.-D. Dai, and Y. H. Kao, 1983, J. Appl. Phys. 54, 4494
- Zimmerman, J. E., 1980, "Cryogenics for SQUID's," in Proceedings of the 2nd SQUID Conference, edited by H. D. Hahlbohm and H. Lübbig (Walter de Gruyter, Berlin), p. 423