Andreev edge channels and magnetic focusing in normal-superconductor systems: A semiclassical analysis

Physical Review B - Condensed Matter and Materials Physics

Volumn 76, Issue 6, 2007, Pages

  Rakyta, P ^a   Kormanyos A ^b   Kaufmann, Z ^a   Cserti, J ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548039267     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.76.064516     Document Type: Article

References (41)

1. A. F. Morpurgo, B. J. van Wees, T. M. Klapwijk, and G. Borghs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4010 79, 4010 (1997);
2. R. J. Soulen, Jr., J. M. Byers, M. S. Osofsky, B. Nadgorny, T. Ambrose, S. F. Cheng, P. R. Broussard, C. T. Tanaka, J. Nowak, J. S. Moodera, A. Barry, and J. M. D. Coey, Science SCIEAS 0036-8075 10.1126/science.282.5386.85 282, 85 (1998);
3. V. A. Vasko, V. A. Larkin, P. A. Kraus, K. R. Nikolaev, D. E. Grupp, C. A. Nordman, and A. M. Goldman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1134 78, 1134 (1997);
4. M. Giroud, H. Courtois, K. Hasselbach, D. Mailly, and B. Pannetier, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R11872 58, R11872 (1998);
5. S. K. Upadhyay, R. N. Louie, and R. A. Buhrman, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.124211 74, 3881 (1999);
6. V. T. Petrashov, I. A. Sosnin, I. Cox, A. Parsons, and C. Troadec, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3281 83, 3281 (1999);
7. M. D. Lawrence and N. Giordano, J. Phys.: Condens. Matter JCOMEL 0953-8984 11, 1089 (1999);
8. F. J. Jedema, B. J. van Wees, B. H. Hoving, A. T. Filip, and T. M. Klapwijk, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.16549 60, 16549 (1999);
9. J. Eroms, M. Tolkiehn, D. Weiss, U. Rössler, J. DeBoeck, and S. Borghs, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00433-3 58, 569 (2002);
10. B.-R. Choi, A. E. Hansen, T. Kontos, C. Hoffmann, S. Oberholzer, W. Belzig, C. Schönenberger, T. Akazaki, and H. Takayanagi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.024501 72, 024501 (2005);
11. S. Russo, M. Kroug, T. M. Klapwijk, and A. F. Morpurgo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.027002 95, 027002 (2005).
12. P. A. M. Benistant, H. van Kempen, and P. Wyder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.817 51, 817 (1983).
13. P. A. M. Benistant, A. P. van Gelder, H. van Kempen, and P. Wyder, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.32.3351 32, 3351 (1985).
14. T. D. Moore and D. A. Williams, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.7308 59, 7308 (1999);
15. T. Akazaki, H. Yamaguchi, J. Nitta, and H. Takayanagi, Supercond. Sci. Technol. SUSTEF 0953-2048 10.1088/0953-2048/12/11/362 12, 901 (1999).
16. J. Eroms, D. Weiss, J. De Boeck, G. Borghs, and U. Zülicke, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.107001 95, 107001 (2005).
17. I. E. Batov, Th. Schapers, N. M. Chtchelkatchev, H. Hardtdegen, and A. V. Ustinov, arXiv:0704.3017v2 (unpublished).
18. Y. Takagaki, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.4009 57, 4009 (1998);
19. Y. Asano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.1732 61, 1732 (2000).
20. H. Hoppe, U. Zülicke, and G. Schön, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.1804 84, 1804 (2000).
21. N. M. Chtchelkatchev, JETP Lett. JTPLA2 0021-3640 73, 94 (2001).
22. M. Schechter, Y. Imry, and Y. Levinson, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.224513 64, 224513 (2001).
23. N. G. Fytas, F. K. Diakonos, P. Schmelcher, M. Scheid, A. Lassl, K. Richter, and G. Fagas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.085336 72, 085336 (2005).
24. G. Fagas, G. Tkachov, A. Pfund, and K. Richter, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.224510 71, 224510 (2005).
25. F. Giazotto, M. Governale, U. Zülicke, and F. Beltram, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.054518 72, 054518 (2005).
26. N. M. Chtchelkatchev and I. S. Burmistrov, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.214510 75, 214510 (2007).
27. A. F. Andreev, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 46, 1823 (1964)
28. A. F. Andreev, [Sov. Phys. JETP SPHJAR 0038-5646 19, 1228 (1964)].
29. V. S. Tsoi, J. Bass, and P. Wyder, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.1641 71, 1641 (1999).
30. H. van Houten, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.39.8556 39, 8556 (1989).
31. H. van Houten and C. W. J. Beenakker, in Analogies in Optics and Micro Electronics, edited by, W. van Haeringen, and, D. Lenstra, (Kluwer, Dordrecht, 1990);
32. arXiv:cond-mat/0512611v1 (unpublished).
33. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1996).
34. J. Cserti, A. Bodor, J. Koltai, and G. Vattay, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.064528 66, 064528 (2002).
35. J. Cserti, P. Polinák, G. Palla, U. Zülicke, and C. J. Lambert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.134514 69, 134514 (2004).
36. P. K. Polinák, C. J. Lambert, J. Koltai, and J. Cserti, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.132508 74, 132508 (2006).
37. S. Sanvito, C. J. Lambert, J. H. Jefferson, and A. M. Bratkovsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.11936 59, 11936 (1999).
38. C. W. J. Beenakker, Lect. Notes Phys. LNPHA4 0075-8450 667, 131 (2005).
39. C. J. Lambert and R. Raimondi, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/5/003 10, 901 (1998).
40. A. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
41. M. Brack and R. K. Bhaduri, Semiclassical Physics, edited by, D. Pines, (Addison-Wesley, Amsterdam, 1997).