Floquet scattering theory of quantum pumps

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 20, 2002, Pages 1-10

  Moskalets, M ^a   Buttiker M ^b  

^a NATIONAL TECHNICAL UNIVERSITY   (Ukraine)

^b UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84865190485     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.205320     Document Type: Article

References (52)

1. M. Switkes, C. M. Marcus, K. Campman, and A. C. Gossard, Science 283, 1905 (1999).
2. P. W. Brouwer, Phys. Rev. B 58, R10 135 (1998).
3. M. Büttiker, H. Thomas, and A. Prêtre, Z. Phys. B 94, 133 (1994);
4. M. Büttiker, J. Phys.: Condens. Matter 5, 9361 (1993).
5. F. Hekking and Yu.V. Nazarov, Phys. Rev. B 44, 9110 (1991).
6. F. Zhou, B. Spivak, and B. Altshuler, Phys. Rev. Lett. 82, 608 (1999).
7. T. A. Shutenko, I. L. Aleiner, and B. L. Altshuler, Phys. Rev. B 61, 10366 (2000).
8. S. H. Simon, Phys. Rev. B 61, 16 327 (2000).
9. Y. Wei, J. Wang, and H. Guo, Phys. Rev. B 62, 9947 (2000).
10. P. W. Brouwer, Phys. Rev. B 63, 121303 (2001).
11. M. L. Polianski and P. W. Brouwer, Phys. Rev. B 64, 075304 (2001).
12. M. Moskalets and M. Büttiker, Phys. Rev. B 64, 201305 (2001).
13. J. E. Avron, A. Elgart, G. M. Graf, and L. Sadun, Phys. Rev. B 62, 10 618 (2000).
14. J. E. Avron, A. Elgart, G. M. Graf, and L. Sadun, Phys. Rev. Lett. 87, 236601 (2001);
15. J. E. AvronA. ElgartG. M. GrafL. SadunJ. Math. Phys. 43, 3415 (2002).
16. A. Alekseev, (unpublished).
17. M. G. Vavilov, V. Ambegaokar, and I. L. Aleiner, Phys. Rev. B 63, 195313 (2001).
18. Y. Makhlin and A. Mirlin, Phys. Rev. Lett. 87, 276803 (2001).
19. L. S. Levitov, (unpublished).
20. B. Wang, J. Wang, and H. Guo, Phys. Rev. B 65, 073306 (2002).
21. J. N. H. J. Cremers and P. W. Brouwer, Phys. Rev. B 65, 115333 (2002).
22. O. Entin-Wohlman, A. Aharony, and Y. Levinson, Phys. Rev. B 65, 195411 (2002).
23. M. Blaauboer, Phys. Rev. B 65, 235318 (2002).
24. B. Wang and J. Wang (unpublished).
25. M. Moskalets and M. Büttiker, Phys. Rev. B 66, 035306 (2002).
26. M. L. Polianski, M. G. Vavilov, and P. W. Brouwer, Phys. Rev. B 65, 245314 (2002).
27. B. Wang and J. Wang, Phys. Rev. B 66, 125310 (2002).
28. S. W. Kim, (unpublished).
29. D. Cohen, (unpublished).
30. The crossover from adiabatic to nonadiabatic transmission through a tunnel barrier with an additional small-amplitude oscillating potential was used in Ref. 29 to find the traversal time for tunneling. This yields a time scale that differs from the more widely used Wigner and Wigner-Smith times. We refer the interested reader to Ref. 30.
31. M. Büttiker and R. Landauer, Phys. Rev. Lett. 49, 1739 (1982).
32. Time in Quantum Mechanics, edited by J. G. Muga, R. Sala Mayato and I. L. Egusquiza (Springer-Verlag, Berlin, 2002).
33. C. A. Stafford and N. S. Wingreen, Phys. Rev. Lett. 76, 1916 (1996).
34. M. Wagner, Phys. Rev. B 49, 16544 (1994)
35. M. WagnerPhys. Rev. A 51, 798 (1995).
36. M. H. Pedersen and M. Büttiker, Phys. Rev. B 58, 12 993 (1998).
37. J. H. Shirley, Phys. Rev. 138B, 979 (1965).
38. W. Li and L. E. Reichl, Phys. Rev. B 60, 15 732 (1999).
39. D. F. Martinez and L. E. Reichl, (unpublished).
40. M. Büttiker, Phys. Rev. Lett. 65, 2901 (1990).
41. M. Büttiker, Phys. Rev. B 46, 12 485 (1992).
42. M. Wagner and F. Sols, Phys. Rev. Lett. 83, 4377 (1999).
43. M. T. Liu and C. S. Chu, Phys. Rev. B 61, 7645 (2000).
44. G. D. Guttman, E. Ben-Jacob, and D. J. Bergman, Phys. Rev. B 53, 15 856 (1996).
45. M. V. Moskalets, Zh. Éksp. Teor. Fiz. 114, 1827 (1998) [JETP 87, 991 (1998)].
46. I. V. Krive, Phys. Rev. B 59, 12 338 (1999).
47. The same problem but with a single oscillating (formula presented)-function barrier was considered in Ref. 36.
48. The phase change by (formula presented) in consecutive resonances is special for the two-barrier model considered here. For systems with lateral extent the phase change of consecutive resonances is randomly (formula presented) or (formula presented) [see A. Levy Yeyati and M. Büttiker, Phys. Rev. B 62, 7307 (2000)].
49. Note that the phase coherent pump effect discussed here should be distinguished from the rectification of displacement currents recently discussed by Brouwer (Ref. 9) and Polianski and Brouwer (Ref. 10), which is closely related to the setup of the experiment of Switkes et al. (Ref. 1) and should be distinguished from the rectification due to inelastic scattering discussed in Ref. 11.
50. The phase of a quantum dot cannot be determined in a two-terminal conductance measurement [see A. Yacoby, M. Heiblum, D. Mahalu, and H. Shtrikman, Phys. Rev. Lett. 74, 4047 (1995)] but requires multiterminal measurements
51. [seeA. Levy Yeyati and M. Büttiker, Phys. Rev. B 52, R14 360 (1995)
52. for an early discussion and for a broader review, G. Hackenbroich, Phys. Rep. 343, 464 (2001)]. In contrast nonadiabatic pumping proposed here permits a two-terminal geometry.