Flux-induced vortex in mesoscopic superconducting loops

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 13, 1999, Pages 8896-8901

  Rubinstein, Jacob ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243601335     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.8896     Document Type: Article

References (55)

1. A. A. Abrikosov, Sov. Phys. JETP19, 988 (1964);
2. L. Kramer, Phys. Lett.24A, 571 (1967);
3. L. G. Aslamazov and A I. Larkin, JETP Lett.9, 87 (1969);
4. V. V. Shmidt, Sov. Phys. JETP30, 1137 (1970);
5. Sov. Phys. JETPK K. Likharev, 34, 906 (1972).
6. R. D. Parks, J M. Mochel, and L V. Surgent, Phys. Rev. Lett.13, 331 (1964);
7. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996).
8. C. P. Bean and J D. Livingston, Phys. Rev. Lett.12, 14 (1964);
9. J. Rubinstein, Z. Angew. Math. Phys.46, 739 (1995).
10. T. Yamashita and L. Rinderer, J. Low Temp. Phys.24, 695 (1976);
11. H. Frahm, S. Ullah, and A T. Dorsey, Phys. Rev. Lett.66, 3067 (1991);
12. Phys. Rev. Lett.F. Liu, M. Mondello, and N. Goldenfeld, 66, 3071 (1991);
13. Phys. Rev. Lett.S H. Brongersma, 71, 2319 (1993);
14. Phys. Rev. Lett.M. Machida and H. Kaburaki, 71, 3206 (1993);
15. R. Kato, Y. Enomoto, and S. Maekawa, Phys. Rev. B47, 8016 (1993);
16. Phys. Rev. BG. Stejic, 49, 1274 (1994);
17. Phys. Rev. BA. Gurevich and L D. Cooley, 50, 13 563 (1994);
18. P. Lobotka, Physica C229, 231 (1994);
19. C. Bolech, G C. Buscaglia, and A. López, Phys. Rev. B52, R15 719 (1995).
20. D. Saint-James, G. Sarma, and E. J. Thomas, Type II Superconductivity (Pergamon, Oxford, 1969);
21. W. H. Zurek, Phys. Rep.276, 177 (1996);
22. G. W. Crabtree and D R. Nelson, Phys. Today50(4), 38 (1997).
23. K. W. Schwarz, Phys. Rev. Lett.64, 1130 (1990);
24. R. J. Donnelly, Quantized Vortices in Helium II (Cambridge University Press, Cambridge, 1991);
25. T. Frisch, Y. Pomeau, and S. Rica, Phys. Rev. Lett.69, 1644 (1992);
26. Phys. Rev. Lett.Y. Pomeau and S. Rica, 71, 247 (1993);
27. U. C. Täuber and D R. Nelson, Phys. Rep.289, 157 (1997).
28. W. A. Little and R D. Parks, Phys. Rev. Lett.9, 9 (1962);
29. R. P. Groff and R D. Parks, Phys. Rev.176, 567 (1968).
30. V. V. Moshchalkov, Nature (London)373, 319 (1995).
31. X. Zhang and J C. Price, Phys. Rev. B55, 3128 (1997).
32. R. B. Dingle, Proc. R. Soc. London, Ser. A211, 500 (1952);
33. D. Saint-James, Phys. Lett.15, 13 (1965);
34. R. Benoist and W. Zwerger, Z. Phys. B103, 377 (1997);
35. V. V. Moshchalkov, X G. Qiu, and V. Bruyndoncx, Phys. Rev. B55, 11 793 (1997).
36. J. Berger and J. Rubinstein, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math.58, 103 (1998).
37. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953);
38. N. N. Lebedev, I P. Skalskaya, and Y S. Uflyand, Worked Problems in Applied Mathematics (Dover, New York, 1965).
39. S. H. Gould, Variational Methods for Eigenvalue Problems (University of Toronto, Toronto, 1966);
40. P.-G. De Gennes, Superconductivity of Metals and Alloys (Addison-Wesley, Reading, 1989);
41. V. M. Fomin, J T. Devreese, and V V. Moshchalkov, Europhys. Lett.42, 553 (1998);
42. J. J. Palacios, Phys. Rev. B57, 10 873 (1998).
43. J. Berger, J. Rubinstein, and M. Schatzman, in Proceedings of the International Conference on Calculus of Variations, edited by A. Ioffe et al. (CRC, Boca Raton, FL, in press);
44. J. Berger and J. Rubinstein, Commun. Math. Phys. (to be published).
45. A. L. de Lozanne, S A. Elrod, and C F. Quate, Phys. Rev. Lett.54, 2433 (1985);
46. Phys. Rev. Lett.H F. Hess, 62, 214 (1989);
47. Phys. Rev. Lett.Ch. Renner, 67, 1650 (1991).
48. H. Träuble and U. Essmann, J. Appl. Phys.25, 273 (1968);
49. P. L. Gammel, Phys. Rev. Lett.59, 2592 (1987).
50. T. Matsuda, Phys. Rev. Lett.62, 2519 (1989);
51. Phys. Rev. Lett.J E. Bonevich, 70, 2952 (1993);
52. A. Tonomura, Electron Holography (Springer, Berlin, 1993).
53. J. Berger and J. Rubinstein, Phys. Rev. B56, 5124 (1997).
54. A. Volodin and C. Van Haesendonck, Appl. Phys. A: Mater. Sci. Process.66, S305 (1998).
55. A. K. Geim, I V. Grigorieva, S V. Dubonos, J G S. Lok, J C. Maan, A E. Filippov, and F M. Peeters, Nature (London)390, 259 (1997).