Pairing resonance as a normal-state spin probe in ultrathin Al films

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 5, 2009, Pages

  Catelani, G ^a   Xiong, Y M ^b   Wu, X S ^b,c   Adams, P W ^b  

^a RUTGERS UNIVERSITY   (United States)

^b LOUISIANA STATE UNIVERSITY   (United States)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70249094374     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.054512     Document Type: Article

References (27)

1. G. A. Gibson, P. M. Tedrow, and R. Meservey, Phys. Rev. B 40, 137 (1989). 10.1103/PhysRevB.40.137
2. D. C. Vier, D. W. Tolleth, and S. Schultz, Phys. Rev. B 29, 88 (1984). 10.1103/PhysRevB.29.88
3. G. Baym and C. Pethick, Landau Fermi-Liquid Theory: Concepts and Applications (John Wiley & Sons, New York, 1991).
4. A. J. Leggett, Phys. Rev. 140, A1869 (1965). 10.1103/PhysRev.140.A1869
5. B. L. Altshuler, A. G. Aronov, M. E. Gershenson, and Yu. V. Sharvin, Sov. Sci. Rev., Sect. A 9, 223 (1987).
6. G. Bergmann and C. Horriar-Esser, Phys. Rev. B 31, 1161 (1985). 10.1103/PhysRevB.31.1161
7. A. P. Mackenzie and Y. Maeno, Rev. Mod. Phys. 75, 657 (2003). 10.1103/RevModPhys.75.657
8. I. L. Aleiner, D. E. Kharzeev, and A. M. Tsvelik, Phys. Rev. B 76, 195415 (2007). 10.1103/PhysRevB.76.195415
9. L. P. Gor'kov and E. I. Rashba, Phys. Rev. Lett. 87, 037004 (2001). 10.1103/PhysRevLett.87.037004
10. W. Wu, J. Williams, and P. W. Adams, Phys. Rev. Lett. 77, 1139 (1996). 10.1103/PhysRevLett.77.1139
11. I. L. Aleiner and B. L. Altshuler, Phys. Rev. Lett. 79, 4242 (1997) 10.1103/PhysRevLett.79.4242
12. H. Y. Kee, I. L. Aleiner, and B. L. Altshuler, Phys. Rev. B 58, 5757 (1998). 10.1103/PhysRevB.58.5757
13. V. Y. Butko, P. W. Adams, and I. L. Aleiner, Phys. Rev. Lett. 82, 4284 (1999). 10.1103/PhysRevLett.82.4284
14. P. W. Adams and V. Y. Butko, Physica B 284-288, 673 (2000). 10.1016/S0921-4526(99)02352-2
15. P. M. Tedrow, J. T. Kucera, D. Rainer, and T. P. Orlando, Phys. Rev. Lett. 52, 1637 (1984). 10.1103/PhysRevLett.52.1637
16. J. A. X. Alexander, T. P. Orlando, D. Rainer, and P. M. Tedrow, Phys. Rev. B 31, 5811 (1985). 10.1103/PhysRevB.31.5811
17. G. Catelani, X. S. Wu, and P. W. Adams, Phys. Rev. B 78, 104515 (2008). 10.1103/PhysRevB.78.104515
18. X. S. Wu, P. W. Adams, and G. Catelani, Phys. Rev. Lett. 95, 167001 (2005). 10.1103/PhysRevLett.95.167001
19. G. Catelani, Phys. Rev. B 73, 020503 (R) (2006). 10.1103/PhysRevB.73. 020503
20. In principle, inelastic-scattering effects should also be included. However, their contribution to the width Γ can be neglected; this point is discussed in some detail in Ref..
21. P. Fulde, Adv. Phys. 22, 667 (1973). 10.1080/00018737300101369
22. This definition is applicable in the limit t □ ℓ of interest here.
23. B. L. Altshuler and A. G. Aronov, in Electron-Electron Interaction in Disordered Systems, edited by, A. L. Efros, and, M. Pollak, (North-Holland, Amsterdam, 1985).
24. We note that the small finite-temperature broadening due to the usual convolution with the derivative of the Fermi-Dirac distribution function has been taken into account.
25. The actual film thickness is less than the nominal one due to the oxidation (see Sec. 3) and extrapolation from thicker films overestimates c.
26. In calculating the superconducting DOS we have introduced a small broadening of the same order of magnitude used in Ref..
27. Y. M. Xiong, P. W. Adams, and G. Catelani, Phys. Rev. Lett. 103, 067009 (2009). 10.1103/PhysRevLett.103.067009