Strong-coupling expansion for the pairing Hamiltonian for small superconducting metallic grains

Physical Review B - Condensed Matter and Materials Physics

Volumn 68, Issue 21, 2003, Pages

  Yuzbashyan, Emil A ^a,b   Baytin, Alexander A ^a,b   Altshuler, Boris L ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b NEC LABORATORIES AMERICA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ACCELERATION; ARTICLE; CALCULATION; CONDUCTANCE; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; SUPERCONDUCTOR;

EID: 1642575399     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.68.214509     Document Type: Article

References (25)

1. D.C. Ralph, C.T. Black, and M. Tinkham, Phys. Rev. Lett. 76, 688 (1996);
2. Phys. Rev. Lett. D.C. Ralph C.T. Black M. Tinkham 78, 4087 (1997).
3. J. von Delft, Ann. Phys. (Leipzig) 10, 219 (2001).
4. I.L. Kurland, I.L. Aleiner, and B.L. Altshuler, Phys. Rev. B 62, 14886 (2000).
5. L. Amico, A. Di Lorenzo, and A. Osterloh, Phys. Rev. Lett. 86, 5759 (2001).
6. M.C. Cambiaggio, A.M.F. Rivas, and M. Saraceno, Nucl. Phys. A 424, 157 (1997).
7. R.W. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964);
8. Nucl. Phys. R.W. Richardson N. Sherman 52, 253 (1964).
9. A. Bohr and B.R. Mottelson, Nuclear Structure (W.A. Benjamin, New York, 1969).
10. V.G. Soloviev, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 1, 1 (1961).
11. J. Bardeen, L.N. Cooper, and J.R. Schriefer, Phys. Rev. 108, 1175 (1957).
12. R.W. Richardson, J. Math. Phys. 18, 1802 (1977).
13. P.W. Anderson, Phys. Rev. 112, 1900 (1958).
14. P.W. Anderson, J. Chem. Solids 11, 26 (1959).
15. M. Schechter, Y. Imry, Y. Levinson, and J. von Delft, Phys. Rev. B 63, 214518 (2001).
16. E.A. Yuzbashyan, B.L. Altshuler, and B.S. Shastry, J. Phys. A 35, 34 7525 (2002).
17. O. Bozat and Z. Gedik, Solid State Commun. 120, 487 (2001).
18. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon Press, Oxford, 1991), Sec. 63, Problem 1, pp. 239–240.
19. M. Gaudin, Modèles Exactament Résolus (Les Éditions de Physique, Les Ulis, France, 1995).
20. J.M. Roman, G. Sierra, and J. Dukelsky, Phys. Rev. B 67, 064510 (2003).
21. G. Szegö, Orthogonal Polynomials (AMS, New York, 1939). On p. 138 Szegö shows that zeroes of an appropriate Laguerre polynomial obey Eqs. (13). Theorem 6.37 on p. 147 gives the number of real positive and negative roots of a Laguerre polynomial (Formula presented) in terms of n and α.
22. B.S. Shastry and A. Dhar, J. Phys. A 34, 6197 (2001).
23. P. Pechukas, Phys. Rev. Lett. 51, 943 (1983).
24. A.R. Edmonds, Angular Momentum in Quantum Mechanics, 2nd ed. (Princeton University Press, Princeton, 1960).
25. G. Falci, Rosario Fazio, and A. Mastellone, Phys. Rev. B 67, 132501 (2003).