Quantum Andreev map: A paradigm of quantum chaos in superconductivity

Physical Review Letters

Volumn 90, Issue 20, 2003, Pages

  Jacquod, Ph ^a   Schomerus, H ^b   Beenakker, C W J ^a  

^a UNIVERSITEIT LEIDEN   (Netherlands)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CHAOS THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON REFLECTION; ELECTRONIC DENSITY OF STATES; ENERGY GAP; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; SUPERCONDUCTIVITY;

ANDREEV REFLECTION; EXCITATION GAP; PARTICLE-HOLE SYMMETRY; QUANTUM CHAOS; RANDOM-MATRIX THEORY;

QUANTUM THEORY;

EID: 0038804017     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. G. Casati, B. V. Chirikov, J. Ford, and F. M. Izrailev, Lect. Notes Phys. 93, 334 (1979).
2. F. M. Izrailev, Phys. Rep. 196, 299 (1990).
3. F. Haake, Quantum Signatures of Chaos (Springer-Verlag, Berlin, 1992).
4. O. Bohigas, M.-J. Giannoni, and C. Schmit, Phys. Rev. Lett. 52, 1 (1984).
5. S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982).
6. A. Altland and M. R. Zirnbauer, Phys. Rev. Lett. 77, 4536 (1996).
7. F. Borgonovi, G. Casati, and B. W. Li, Phys. Rev. Lett. 77, 4744 (1996).
8. K. M. Frahm and D. L. Shepelyansky, Phys. Rev. Lett. 79, 1833 (1997).
9. J. A. Melsen, P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, Europhys. Lett. 35, 7 (1996)
10. J. A. Melsen, P. W. Brouwer, K. M. Frahm, and C. W. J. Beenakker, Phys. Scr.T69, 223 (1997).
11. An exception is the study of Andreev reflection in the framework of quantum graphs by S. Gnutzmann, B. Seif, F. von Oppen, and M. R. Zirnbauer, Phys. Rev. E 67, 046225 (2003).
12. I. Koszstin, D. L. Maslov, and P. M. Goldbart, Phys. Rev. Lett. 75, 1735 (1995).
13. R. Ketzmerick, K. Kruse, and T. Geisel, Physica (Amsterdam) 131D, 247 (1999).
14. M. G. Vavilov, P. W. Brouwer, V. Ambegaokar, and C. W. J. Beenakker, Phys. Rev. Lett. 86, 874 (2001).
15. P. M. Ostrovsky, M. A. Skvortsov, and M. V. Feigelman, Phys. Rev. Lett. 87, 027002 (2001).
16. P. M. Ostrovsky, M. A. Skvortsov, and M. V. Feigelman, JETP Lett. 75, 336 (2002).
17. A. Lamacraft and B. D. Simons, Phys. Rev. B 64, 014514 (2001).
18. A. Lodder and Yu. V. Nazarov, Phys. Rev. B 58, 5783 (1998).
19. D. Taras-Semchuk and A. Altland, Phys. Rev. B 64, 014512 (2001).
20. I. Adagideli and C. W. J. Beenakker, Phys. Rev. Lett. 89, 237002 (2002).
21. P. B. Silverstrov, M. C. Goorden, and C. W. J. Beenakker, Phys. Rev. Lett. 90, 116801 (2003).
22. M. G. Vavilov and A. I. Larkin, Phys. Rev. B 67, 115335 (2003).
23. S. R. Jain, Phys. Rev. Lett. 70, 3553 (1993).
24. A. Ossipov, T. Kottos, and T. Geisel, cond-mat/0208378.
25. K. M. Frahm, P. W. Brouwer, J. A. Melsen, and C. W. J. Beenakker, Phys. Rev. Lett. 76, 2981 (1996).
26. Y. V., Fyodorov and H.-J. Sommers, JETP Lett. 72, 422 (2000).
27. E. B. Bogomolny, Nonlinearity 5, 805 (1992).
28. H. Schomerus and C. W. J. Beenakker, Phys. Rev. Lett. 82, 2951 (1999).
29. C. A. Tracy and H. Widom, Commun. Math. Phys. 159, 151 (1994).