Tunneling studies in a homogeneously disordered s -wave superconductor: NbN

Physical Review B - Condensed Matter and Materials Physics

Volumn 79, Issue 9, 2009, Pages

  Chockalingam, S P ^a   Chand, Madhavi ^a   Kamlapure, Anand ^a   Jesudasan, John ^a   Mishra, Archana ^a,b   Tripathi, Vikram ^a   Raychaudhuri, Pratap ^a  

^a TATA INSTITUTE OF FUNDAMENTAL RESEARCH   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY ROORKEE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 63249134352     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.79.094509     Document Type: Article

References (40)

1. P. W. Anderson, J. Phys. Chem. Solids 11, 26 (1959). 10.1016/0022- 3697(59)90036-8
2. A. A. Abrikosov and L. P. Gorkov, Sov. Phys. JETP 9, 220 (1959).
3. R. C. Dynes, J. P. Garno, G. B. Hertel, and T. P. Orlando, Phys. Rev. Lett. 53, 2437 (1984) 10.1103/PhysRevLett.53.2437
4. D. B. Haviland, Y. Liu, and A. M. Goldman, Phys. Rev. Lett. 62, 2180 (1989) 10.1103/PhysRevLett.62.2180
5. J. M. Valles, R. C. Dynes, and J. P. Garno, Phys. Rev. Lett. 69, 3567 (1992). 10.1103/PhysRevLett.69.3567
6. A. M. Goldman and N. Markovic, Phys. Today 51 (11), 39 (1998). 10.1063/1.882069
7. A. Ghosal, M. Randeria, and N. Trivedi, Phys. Rev. Lett. 81, 3940 (1998) 10.1103/PhysRevLett.81.3940
8. A. Ghosal, M. Randeria, and N. Trivedi, Phys. Rev. B 65, 014501 (2001). 10.1103/PhysRevB.65.014501
9. Y. Dubi, Y. Meir, and Y. Avishai, Nature (London) 449, 876 (2007) 10.1038/nature06180
10. Y. Dubi, Y. Meir, and Y. Avishai, Phys. Rev. B 78, 024502 (2008) 10.1103/PhysRevB.78.024502
11. V. M. Galitski and A. I. Larkin, Phys. Rev. Lett. 87, 087001 (2001). 10.1103/PhysRevLett.87.087001
12. B. Sacépé, C. Chapelier, T. I. Baturina, V. M. Vinokur, M. R. Baklanov, and M. Sanquer, Phys. Rev. Lett. 101, 157006 (2008). 10.1103/PhysRevLett.101.157006
13. M. V. Fistul, V. M. Vinokur, and T. I. Baturina, Phys. Rev. Lett. 100, 086805 (2008) 10.1103/PhysRevLett.100.086805
14. M. A. Steiner, G. Boebinger, and A. Kapitulnik, Phys. Rev. Lett. 94, 107008 (2005) 10.1103/PhysRevLett.94.107008
15. G. Sambandamurthy, L. W. Engel, A. Johansson, and D. Shahar, Phys. Rev. Lett. 92, 107005 (2004). 10.1103/PhysRevLett.92.107005
16. M. V. Feigel'man, L. B. Ioffe, V. E. Kravtsov, and E. A. Yuzbashyan, Phys. Rev. Lett. 98, 027001 (2007). 10.1103/PhysRevLett.98.027001
17. T. V. Ramakrishnan, Phys. Scr., T 27, 24 (1989) 10.1088/0031-8949/1989/ T27/004
18. K. B. Efetov, Sov. Phys. JETP 51, 1015 (1980).
19. K. Semba and A. Matsuda, Phys. Rev. Lett. 86, 496 (2001) 10.1103/PhysRevLett.86.496
20. S. Oh, T. A. Crane, D. J. Van Harlingen, and J. N. Eckstein, Phys. Rev. Lett. 96, 107003 (2006) 10.1103/PhysRevLett.96.107003
21. P. Orgiani, C. Aruta, G. Balestrino, D. Born, L. Maritato, P. G. Medaglia, D. Stornaiuolo, F. Tafuri, and A. Tebano, Phys. Rev. Lett. 98, 036401 (2007). 10.1103/PhysRevLett.98.036401
22. S. P. Chockalingam, Madhavi Chand, John Jesudasan, Vikram Tripathi, and Pratap Raychaudhuri, Phys. Rev. B 77, 214503 (2008). 10.1103/PhysRevB.77.214503
23. See EPAPS Document No. E-PRBMDO-79-105905 for a more detailed description of the tunneling device. For more information on EPAPS, see http://www.aip.org/pubservs/epaps.html
24. For details regarding the calculation of kF l, see Ref..
25. Since the absolute value of Tc is determined with greater accuracy than ρn, the kF l values mentioned are estimated from Tc using the polynomial fit in Fig. 1. However, we verified that the kF l values estimated from ρn are within 20% of the value determined from Tc.
26. Ch. Renner, B. Revaz, J.-Y. Genoud, K. Kadowaki, and Ø. Fischer, Phys. Rev. Lett. 80, 149 (1998) 10.1103/PhysRevLett.80.149
27. L. Shan, Y. L. Wang, Y. Huang, S. L. Li, J. Zhao, P. Dai, and H. H. Wen, Phys. Rev. B 78, 014505 (2008) 10.1103/PhysRevB.78.014505
28. J. W. Alldredge, Jinho Lee, K. McElroy, M. Wang, K. Fujita, Y. Kohsaka, C. Taylor, H. Eisaki, S. Uchida, P. J. Hirschfeld, and J. C. Davis, Nat. Phys. 4, 319 (2008) 10.1038/nphys917
29. M. Aprili, E. Badica, and L. H. Greene, Phys. Rev. Lett. 83, 4630 (1999). 10.1103/PhysRevLett.83.4630
30. M. Randeria, R. Sensarma, N. Trivedi, and Fu-Chun Zhang, Phys. Rev. Lett. 95, 137001 (2005). 10.1103/PhysRevLett.95.137001
31. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996).
32. R. C. Dynes, V. Narayanamurti, and J. P. Garno, Phys. Rev. Lett. 41, 1509 (1978). 10.1103/PhysRevLett.41.1509
33. The increase in Γ as the temperature approaches Tc is expected for a strong-coupling superconductor due to phonon-mediated recombination of electron-like and hole-like quasiparticles. See S. B. Kaplan, C. C. Chi, D. N. Langenberg, J. J. Chang, S. Jafarey, and D. J. Scalapino, Phys. Rev. B 14, 4854 (1976) 10.1103/PhysRevB.14.4854
34. R. C. Dynes, V. Narayanamurti, and J. P. Garno, Phys. Rev. Lett. 41, 1509 (1978). 10.1103/PhysRevLett.41.1509
35. G. M. Eliashberg, Sov. Phys. JETP 11, 696 (1960).
36. The situation is however more complicated than for Josephson junction network where the amplitude of the order parameter can be reasonably assumed to be temperature independent (see Ref.). In this case both the amplitude and phase fluctuation have to be treated in a self-consistent way.
37. P. W. Anderson, K. A. Muttalib, and T. V. Ramakrishnan, Phys. Rev. B 28, 117 (1983). 10.1103/PhysRevB.28.117
38. Leavens argued that the Anderson-Muttalib-Ramakrishnan (Ref.) effect is of undetermined magnitude due to the large uncertainty in the critical resistivity at which superconductivity is destroyed. See C. R. Leavens, Phys. Rev. B 31, 6072 (1985). 10.1103/PhysRevB.31.6072
39. G. Bergmann, Z. Phys. 228, 25 (1969). 10.1007/BF01392431
40. G. Ziemba and G. Bergmann, Z. Phys. 237, 410 (1970). 10.1007/BF01407638