Supergap anomalies in cotunneling between normal-superconducting and between two superconducting leads via a small quantum dot

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 19, 2008, Pages

  Mkhitaryan, V V ^a   Raikh, M E ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 44449101734     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.195329     Document Type: Article

References (50)

1. D. V. Averin and K. K. Likharev, in Mesoscopic Phenomena in Solids, edited by, B. L. Altshuler,,, P. A. Lee,, and, R. A. Webb, (Elsevier, Amsterdam, 1991), p. 173
2. Single Charge Tunneling, edited by, H. Grabert, and, M. H. Devoret, (Plenum, New York, 1992).
3. A. van den Brink, G. Schön, and L. J. Geerligs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3030 67, 3030 (1991).
4. M. T. Tuominen, J. M. Hergenrother, T. S. Tighe, and M. Tinkham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1997 69, 1997 (1992).
5. P. Lafarge, P. Joyez, D. Esteve, C. Urbina, and M. H. Devoret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.994 70, 994 (1993).
6. T. M. Eiles, J. M. Martinis, and M. H. Devoret, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1862 70, 1862 (1993).
7. M. T. Tuominen, J. M. Hergenrother, T. S. Tighe, and M. Tinkham, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.11599 47, 11599 (1993).
8. J. M. Hergenrother, M. T. Tuominen, and M. Tinkham, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1742 72, 1742 (1994).
9. A. Amar, D. Song, C. J. Lobb, and F. C. Wellstood, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.3234 72, 3234 (1994).
10. J. G. Lu, J. M. Hergenrother, and M. Tinkham, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.3543 53, 3543 (1996).
11. P. Hadley, E. Delvigne, E. H. Visscher, S. Lähteenmäki, and J. E. Mooij, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.15317 58, 15317 (1998).
12. K. Shibata, C. Buizert, A. Oiwa, K. Hirakawa, and S. Tarucha, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2779970 91, 112102 (2007).
13. T. Sand-Jespersen, J. Paaske, B. M. Andersen, K. Grove-Rasmussen, H. I. Jørgensen, M. Aagesen, C. B. Sørensen, P. E. Lindelof, K. Flensberg, and J. Nygård, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.126603 99, 126603 (2007).
14. C. Buizert, A. Oiwa, K. Shibata, K. Hirakawa, and S. Tarucha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.136806 99, 136806 (2007).
15. A. Yu. Kasumov, R. Deblock, M. Kociak, B. Reulet, H. Bouchiat, I. I. Khodos, Yu. B. Gorbatov, V. T. Volkov, C. Jouret, and M. Burghard, Science SCIEAS 0036-8075 10.1126/science.284.5419.1508 284, 1508 (1999).
16. M. R. Buitelaar, T. Nussbaumer, and C. Schönenberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.256801 89, 256801 (2002).
17. M. R. Buitelaar, W. Belzig, T. Nussbaumer, B. Babić, C. Bruder, and C. Schönenberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.057005 91, 057005 (2003).
18. M. R. Gräber, T. Nussbaumer, W. Belzig, and C. Schönenberger, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/15/7/056 15, S479 (2004).
19. P. Jarillo-Herrero, J. A. van Dam, and L. P. Kouwenhoven, Nature (London) NATUAS 0028-0836 10.1038/nature04550 439, 953 (2006).
20. H. I. Jorgensen, K. Grove-Rasmussen, T. Novotny, K. Flensberg, and P. E. Lindelof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.207003 96, 207003 (2006).
21. T. Tsuneta, L. Lechner, and P. J. Hakonen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.087002 98, 087002 (2007).
22. A. Eichler, M. Weiss, S. Oberholzer, C. Schönenberger, A. Levy Yeyati, J. C. Cuevas, and A. Martin-Rodero, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.126602 99, 126602 (2007).
23. K. Grove-Rasmussen, H. I. Jørgensen, and P. E. Lindelof, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/5/124 9, 124 (2007).
24. D. V. Averin and Yu. V. Nazarov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1993 69, 1993 (1992).
25. K. A. Matveev, M. Gisselfalt, L. I. Glazman, M. Jonson, and R. I. Shekhter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.2940 70, 2940 (1993).
26. F. W. J. Hekking, L. I. Glazman, K. A. Matveev, and R. I. Shekhter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.4138 70, 4138 (1993).
27. F. W. J. Hekking and Yu. V. Nazarov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.1625 71, 1625 (1993).
28. A. F. Andreev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 46, 1823 (1964).
29. G. E. Blonder, M. Tinkham, and T. M. Klapwijk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.25.4515 25, 4515 (1982).
30. T. M. Klapwijk, G. E. Blonder, and M. Tinkham, Physica B & C PHBCDQ 0378-4363 109-110, 1657 (1982)
31. M. Octavio, M. Tinkham, G. E. Blonder, and T. M. Klapwijk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.27.6739 27, 6739 (1983).
32. K. Flensberg, J. B. Hansen, and M. Octavio, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.38.8707 38, 8707 (1988).
33. A. Golub and B. Horovitz, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.15882 50, 15882 (1994).
34. E. N. Bratus', V. S. Shumeiko, and G. Wendin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.2110 74, 2110 (1995).
35. I. L. Aleiner, P. Clarke, and L. I. Glazman, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.R7630 53, R7630 (1996).
36. A. Levy Yeyati, J. C. Cuevas, A. López-Dávalos, and A. Martín-Rodero, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.R6137 55, R6137 (1997).
37. G. Johansson, E. N. Bratus, V. S. Shumeiko, and G. Wendin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.1382 60, 1382 (1999).
38. L. I. Glazman and K. A. Matveev, JETP Lett. 49, 659 (1989). 0021-3640
39. T. I. Ivanov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.169 59, 169 (1999).
40. A. V. Rozhkov and D. P. Arovas, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2788 82, 2788 (1999).
41. V. Oganesyan, S. Kivelson, T. Geballe, and B. Moyzhes, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.172504 65, 172504 (2002).
42. Y. Avishai, A. Golub, and A. D. Zaikin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.041301 67, 041301 (R) (2003).
43. V. I. Kozub, A. V. Lopatin, and V. M. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.226805 90, 226805 (2003).
44. A. Levy Yeyati, A. Martín-Rodero, and E. Vecino, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.266802 91, 266802 (2003).
45. M. S. Choi, M. Lee, K. Kang, and W. Belzig, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.020502 70, 020502 (R) (2004).
46. C. Karrasch, A. Oguri, and V. Meden, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.77.024517 77, 024517 (2008).
47. E. Sela, H. S. Sim, Y. Oreg, M. E. Raikh, and F. von Oppen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.056809 100, 056809 (2008).
48. Strictly speaking, this reasoning applies for the case of tunneling into a metal. In fact, for tunneling into a superconductor, one has an electron from the LS with definite spin projection and a broken Cooper pair in the spin-singlet state.
49. A. Kaminski and L. I. Glazman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2400 86, 2400 (2001).
50. L. H. Yu, Z. K. Keane, J. W. Ciszek, L. Cheng, M. P. Stewart, J. M. Tour, and D. Natelson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 266802 93, 266802 (2004).