Robustness of spin filtering against current leakage in a Rashba-Dresselhaus-Aharonov-Bohm interferometer

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 20, 2013, Pages

  Matityahu, Shlomi ^a   Aharony, Amnon ^a,b   Entin Wohlman, Ora ^a,b   Katsumoto, Shingo ^c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878547097     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.205438     Document Type: Article

References (43)

1. S. A. Wolf, D. D. Awschalom, R. A. Buhrman, J. M. Daughton, S. von Molnár, M. L. Roukes, A. Y. Chtchelkanova, and D. M. Treger, Science SCIEAS 0036-8075 10.1126/science.1065389 294, 1488 (2001). (Pubitemid 33063913)
2. I. Žutić, J. Fabian, and S. Das Sarma, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.323 76, 323 (2004). (Pubitemid 39063520)
3. S. D. Bader and S. S. P. Parkin, Annu. Rev.: Condens. Matter Phys. 1947-5454 10.1146/annurev-conmatphys-070909-104123 1, 71 (2010).
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2011).
5. D. Loss and D. P. DiVincenzo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.120 57, 120 (1998).
6. F. L. H. Koppens, C. Buizert, K. J. Tierlooij, I. T. Vink, K. C. Nowack, T. Meunier, L. P. Kouwenhoven, and L. M. K. Vandersypen, Nature (London) NATUAS 0028-0836 10.1038/nature05065 442, 766 (2006). (Pubitemid 44261899)
7. M. Pioro-Ladrière, T. Obata, Y. Tokura, Y.-S. Shin, T. Kubo, K. Yoshida, T. Taniyama, and S. Tarucha, Nat. Phys. 1745-2473 10.1038/nphys1053 4, 776 (2008).
8. C. H. W. Barnes, J. M. Shilton, and A. M. Robinson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62.8410 62, 8410 (2000). (Pubitemid 32336201)
9. A. E. Popescu and R. Ionicioiu, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.245422 69, 245422 (2004).
10. T. Hayashi, T. Fujisawa, H. D. Cheong, Y. H. Jeong, and Y. Hirayama, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.226804 91, 226804 (2003).
11. J. Ebbecke, G. Bastian, M. Blöcker, K. Pierz, and F. J. Ahlers, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1319190 77, 2601 (2000).
12. G. Schmidt, D. Ferrand, L. W. Molenkamp, A. T. Filip, and B. J. van Wees, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62.R4790 62, R4790 (2000).
13. G. Schmidt and L. W. Molenkamp, Semicond. Sci. Technol. SSTEET 0268-1242 10.1088/0268-1242/17/4/304 17, 310 (2002). (Pubitemid 34410680)
14. G. Schmidt, J. Phys. D: Appl. Phys. JPAPBE 0022-3727 10.1088/0022-3727/ 38/7/R01 38, R107 (2005). (Pubitemid 40541040)
15. T. Taniyama, E. Wada, M. Itoh, and M. Yamaguchi, NPG Asia Mater. 1884-4049 10.1038/asiamat.2011.84 3, 65 (2011).
16. E. I. Rashba, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.62.R16267 62, R16267 (2000). (Pubitemid 32372706)
17. B. T. Jonker, G. Kioseoglou, A. T. Hanbicki, C. H. Li, and P. E. Thompson, Nat. Phys. 1745-2473 10.1038/nphys673 3, 542 (2007).
18. S. Zhang, S. A. Dayeh, Y. Li, S. A. Crooker, D. L. Smith, and S. T. Picraux, Nano. Lett. NALEFD 1530-6984 10.1021/nl303667v 13, 430 (2013).
19. Y. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, Nature (London) NATUAS 0028-0836 10.1038/nature02202 427, 50 (2004). (Pubitemid 38094816)
20. D. D. Awschalom, Physics 1943-2879 10.1103/Physics.2.50 2, 50 (2009).
21. R. Citro, F. Romeo, and M. Marinaro, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.115329 74, 115329 (2006). (Pubitemid 44455360)
22. N. Hatano, R. Shirasaki, and H. Nakamura, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.032107 75, 032107 (2007). (Pubitemid 46418245)
23. A. Aharony, Y. Tokura, G. Z. Cohen, O. Entin-Wohlman, and S. Katsumoto, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.035323 84, 035323 (2011).
24. Y. Aharonov and D. Bohm, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.115. 485 115, 485 (1959).
25. J. J. Sakurai, Modern Quantum Mechanics (Addison Wesley, Boston, 1994), p. 304.
26. R. Winkler, Spin-Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems (Springer-Verlag, Berlin, 2003).
27. E. I. Rashba, Fiz. Tverd. Tela (Leningrad) 2, 1224 (1960)
28. E. I. Rashba, [Sov. Phys. Solid State 2, 1109 (1960)];
29. Y. A. Bychkov and E. I. Rashba, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/17/33/015 17, 6039 (1984).
30. G. Dresselhaus, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.100.580 100, 580 (1955).
31. J. Nitta, T. Akazaki, H. Takayanagi, and T. Enoki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.1335 78, 1335 (1997).
32. T. Koga, J. Nitta, T. Akazaki, and H. Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.046801 89, 046801 (2002).
33. M. König, A. Tschetschetkin, E. M. Hankiewicz, J. Sinova, V. Hock, V. Daumer, M. Schäfer, C. R. Becker, H. Buhmann, and L. W. Molenkamp, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.076804 96, 076804 (2006).
34. T. Bergsten, T. Kobayashi, Y. Sekine, and J. Nitta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.196803 97, 196803 (2006). (Pubitemid 44730141)
35. Dong Liang, and Xuan P. A. Gao, Nano lett. NALEFD 1530-6984 10.1021/nl301325h 12, 3263 (2012).
36. Y. Oreg and O. Entin-Wohlman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.46.2393 46, 2393 (1992).
37. D. Bercioux, M. Governale, V. Cataudella, and V. M. Ramaglia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.056802 93, 056802 (2004).
38. Below we refer to α as the AB flux in units of Φ 0 / 2 π.
39. A. Aharony, O. Entin-Wohlman, B. I. Halperin, and Y. Imry, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.115311 66, 115311 (2002).
40. A. Aharony and O. Entin-Wohlman, J. Phys. Chem. B JPCBFK 1520-6106 10.1021/jp8065986 113, 3676 (2009).
41. We note that for M = 1, in which case there is no leakage to the absorbing channels, Eqs. and reduce to J u v ′ = 0 and J u v ′ ′ = J u v, respectively. In that case, Eq. are identical to Eq. of Ref..
42. We note that the choice of k a = π / 2 is a matter of convenience for illustration of the transmission. For any energy, one can tune the interferometer parameters to achieve spin filtering.
43. - i α (cos ω + i sin ω ω î · σ), one extracts the relations for cos ω, sin ω and the blocked direction n î = ω î.