Exact solution at integrable coupling of a model for the Josephson effect between small metallic grains

International Journal of Modern Physics B

Volumn 16, Issue 23, 2002, Pages 3429-3438

  Links, Jon ^a   Zhou, Huan Qiang ^a   Mckenzie, Ross H ^a   Gould, Mark D ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

BCS model; Bethe ansatz; Josephson effect

Indexed keywords

METAL;

ARTICLE; CALCULATION; CONFORMATION; CORRELATION FUNCTION; MATHEMATICAL MODEL; SPECTRUM; SYSTEM ANALYSIS; THEORY;

EID: 0037056491     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979202011949     Document Type: Article

References (39)

1. Y. Makhlin, G. Schön and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001).
2. D. C. Ralph, C. T. Black and M. Tinkham, Phys. Rev. Lett. 76, 688 (1996); 78, 4087 (1997)
3. D. C. Ralph, C. T. Black and M. Tinkham, Phys. Rev. Lett. 76, 688 (1996); 78, 4087 (1997)
4. J. von Delft and D. C. Ralph, Phys. Rep. 345, 61 (2001);
5. J. von Delft, Ann. Phys. (Leipzig) 10, 219 (2001).
6. H. T. C. Stool et al., Phys. Rev. Lett. 76, 10 (1996).
7. A. G. Truscott et al., Science 291, 2570 (2001).
8. R. W. Richardson, Phys. Lett. 3, 277 (1963); 5, 82 (1963);
9. R. W. Richardson, Phys. Lett. 3, 277 (1963); 5, 82 (1963);
10. R. W. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964); 52, 253 (1964).
11. R. W. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964); 52, 253 (1964).
12. M. C. Cambiaggio, A. M. F. Rivas and M. Saraceno, Nucl. Phys. A624, 157 (1997).
13. L. Amico and A. Osterloh, Phys. Rev. Lett. 88, 127003 (2002).
14. H.-Q. Zhou, J. Links, R. H. McKenzie and M. D. Gould, Phys. Rev. B65, 060502(R) (2002).
15. J. von Delft and R. Poghossian, cond-mat/0106405.
16. R. W. Richardson, Phys. Rev. 144, 874 (1966).
17. J. Links, H.-Q. Zhou, M. D. Gould and R. H. McKenzie, nlin.SI/0110049.
18. L. Amico, A. Di Lorenzo and A. Osterloh, Phys. Rev. Lett. 86, 5759 (2001); Nucl. Phys. B614, 449 (2001).
19. L. Amico, A. Di Lorenzo and A. Osterloh, Phys. Rev. Lett. 86, 5759 (2001); Nucl. Phys. B614, 449 (2001).
20. J. Dukelsky, C. Esebbag and P. Schuck, Phys. Rev. Lett. 87, 066403 (2001).
21. For a general introduction to the effect in bulk superconductors see, M. Tinkham, Introduction to Superconductivity, Second edition (McGraw Hill, 1996).
22. P. W. Anderson, in Lectures on the Many-Body Problem, Volume 2, ed. E. R. Caianiello, (Academic, New York, 1964), p. 113.
23. B. D. Josephson, Phys. Lett. 1, 251 (1962).
24. For a beautiful account of the historical background, see D. G. McDonald, Physics Today 54(7), 46 (2001).
25. V. Ambegaokar and A. Baratoff, Phys. Rev. Lett. 10, 486 (1963); Erratum 11, 104 (1963).
26. A. J. Leggett, Rev. Mod. Phys. 73, 307 (2001).
27. L. D. Faddeev, Int. J. Mod. Phys. A10, 1845 (1995).
28. V. G. Knizhnik and A. B. Zamolodchikov, Nucl. Phys. B247, 83 (1984).
29. H. M. Babujian, J. Phys. A: Math. Gen. 26, 6981 (1993);
30. H. M. Babujian and R. Flume, Mod. Phys. Lett. A9, 2029 (1994).
31. P. Christe and R. Flume, Nucl. Phys. B282, 466 (1987).
32. E. Date, M. Jimbo, A. Matsuo and T. Miwa, Int. J. Mod. Phys. B4, 1049 (1990).
33. V. V. Schechtman and A. N. Varchenko, Invent. Math. 106, 139 (1991).
34. A. B. Zamolodchikov, Int. J. Mod. Phys. A3, 743 (1988).
35. G. Sierra, Nucl. Phys. B572, 517 (2000).
36. N. A. Slavnov, Theor. Math. Phys. 79, 502 (1989).
37. V. E. Korepin, N. M. Bogoliubov and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
38. N. Kitanine, J. M. Maillet and V. Terras, Nucl. Phys. B554, 647 (1999).
39. N. Kitanine, J. Phys. A: Math. Gen. 34, 8169 (2001).