Proximity-induced screening and its magnetic breakdown in mesoscopic hybrid structures

Physical Review B - Condensed Matter and Materials Physics

Volumn 67, Issue 18, 2003, Pages 1845181-1845189

  Galaktionov, Artem V ^a   Zaikin, Andrei D ^a  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ARTICLE; CONDUCTOR; ELECTRON; LINEAR SYSTEM; MAGNETIC FIELD; MAGNETISM; MATHEMATICAL MODEL; MOLECULAR INTERACTION; TEMPERATURE DEPENDENCE;

EID: 0038692861     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.184518     Document Type: Article

References (28)

1. C.J. Lambert and R. Raimondi, J. Phys.: Condens. Matter 10, 901 (1998).
2. W. Belzig, EK. Wilhelm, C. Bruder, G. Schön, and A.D. Zaikin, Superlattices Microstruct. 25, 1251 (1999).
3. P. Visani, A.C. Mota, and A. Pollini, Phys. Rev. Lett. 65, 1514 (1990).
4. F.B. Müller-Allinger and A.C. Mota, Phys. Rev. Lett. 84, 3161 (2000).
5. F.B. Müller-Allinger and A.C. Mota, Phys. Rev. B 62, R6120 (2000).
6. A.D. Zaikin, Solid State Commun. 41, 533 (1982).
7. W. Belzig, C. Bruder, and G. Schön, Phys. Rev. B 53, 5727 (1996); W. Belzig, C. Bruder, and A.L. Fauchère, ibid. 58, 14531 (1998).
8. W. Belzig, C. Bruder, and G. Schön, Phys. Rev. B 53, 5727 (1996); W. Belzig, C. Bruder, and A.L. Fauchère, ibid. 58, 14531 (1998).
9. C. Bruder and Y. Imry, Phys. Rev. Lett. 80, 5782 (1998).
10. A.L. Fauchère, W. Belzig, and G. Blatter, Phys. Rev. Lett. 82, 3336 (1999).
11. K. Maki and S. Haas, cond-mat/0003413 (unpublished).
12. A.L. Fauchère, V. Geshkenbein, and G. Blatter, Phys. Rev. Lett. 82, 1796 (1999); C. Bruder and Y. Imry, ibid. 82, 1797 (1999).
13. A.L. Fauchère, V. Geshkenbein, and G. Blatter, Phys. Rev. Lett. 82, 1796 (1999); C. Bruder and Y. Imry, ibid. 82, 1797 (1999).
14. A.C. Mota, P. Visani, and A. Pollini, J. Low Temp. Phys. 76, 465 (1989); A.C. Mota, P. Visani, A. Pollini, and K. Aupke, Physica B 197, 95 (1994).
15. A.C. Mota, P. Visani, and A. Pollini, J. Low Temp. Phys. 76, 465 (1989); A.C. Mota, P. Visani, A. Pollini, and K. Aupke, Physica B 197, 95 (1994).
16. A.L. Fauchère and G. Blatter, Phys. Rev. B 56, 14 102 (1997).
17. S. Higashitani and K. Nagai, J. Phys. Soc. Jpn. 64, 549 (1995).
18. A.V. Galaktionov and A.D. Zaikin, Phys. Rev. B 65, 184507 (2002).
19. A.A. Abrikosov, L.P. Gorkov, and I.Ye. Dzyaloshinkski, Quantum Field Theoretical Methods in Statistical Physics, 2nd ed. (Pergamon, Oxford, 1965).
20. L.D. Landau and E.M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1962).
21. F.B. Müller-Allinger, A.C. Mota, and W. Belzig, Phys. Rev. B 59, 8887 (1999).
22. It was demonstrated in Ref. 18 that a quantitative theoretical description of the experimentally observed diamagnetic susceptibility is possible only provided the effect of a finite electron mean free path in the N metal is taken into account.
23. F/d. The corresponding result will coincide with one presented by the solid curve in Fig. 3 of Ref. 13. However, the experimental data in this high-temperature regime turn out to be smaller than this estimate by a constant factor ≈0.65.
24. z∼1 mm.
25. S. Pilgram, W. Belzig, and C. Bruder, Phys. Rev. B 62, 12 462 (2000).
26. H.F. Cheung, Y. Gefen, and E.K. Riedel, IBM J. Res. Dev. 32, 359 (1988).
27. E. Jahnke, F. Emde, and F. Lösch, Tafeln höherer Funktionen (Teubner, Stuttgart, 1966).
28. Quasiclassical Eilenberger equations lead to a similar result, see W. Belzig, Diploma Thesis, Karlsruhe University, 1995.