Resonance approximation and charge loading and unloading in adiabatic quantum pumping

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 19, 2004, Pages

  Kashcheyevs, Vyacheslavs ^a   Aharony, Amnon ^a   Entin Wohlman, Ora ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; ELECTRON TRANSPORT; MATHEMATICAL ANALYSIS; MOLECULAR INTERACTION; MOLECULAR MODEL; PROBABILITY; QUANTUM MECHANICS; REACTION ANALYSIS;

EID: 42749100550     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.195301     Document Type: Article

References (47)

1. M. Switkes, C.M. Marcus, K. Campman, and A.C. Gossard, Science 283, 1905 (1999).
2. L.P. Kouwenhoven, A.T. Johnson, N.C. van der Vaart, C.J.P.M. Harmans, and C.T. Foxon, Phys. Rev. Lett. 67, 1626 (1991).
3. R.L. Kautz, M.W. Keller, and J.M. Martinis, Phys. Rev. B 60, 8199 (1999), and references therein.
4. I.L. Aleiner and A.V. Andreev, Phys. Rev. Lett. 81, 1286 (1998).
5. P.W. Brouwer, Phys. Rev. B 58, 10 135 (1998).
6. F. Zhou, B. Spivak, and B. Altshuler, Phys. Rev. Lett. 82, 608 (1999).
7. B.L. Altshuler and L.I. Glazman, Science 283, 1864 (1999).
8. T.A. Shutenko, I.L. Aleiner, and B.L. Altshuler, Phys. Rev. B 61, 10 366 (2000).
9. Y. Wei, J. Wang, and H. Guo, Phys. Rev. B 62, 9947 (2000).
10. M. Moskalets and M. Büttiker, Phys. Rev. B 64, 201305 (2001).
11. Y. Levinson, O. Entin-Wohlman, and P. Wölfe, Physica A 302, 335 (2001).
12. J.E. Avron, A. Elgart, G.M. Graf, and L. Sadun, Phys. Rev. Lett. 87, 236601 (2001).
13. Y. Makhlin and A.D. Mirlin, Phys. Rev. Lett. 87, 276803 (2001).
14. B. Wang, J. Wang, and H. Guo, Phys. Rev. B 65, 073306 (2002).
15. O. Entin-Wohlman, A. Aharony, and Y. Levinson, Phys. Rev. B 65, 195411 (2002).
16. O. Entin-Wohlman and A. Aharony, Phys. Rev. B 66, 035329 (2002).
17. P. Sharma and C. Chamon, Phys. Rev. B 68, 035321 (2003).
18. M. Ya. Azbel', Europhys. Lett. 18, 537 (1992).
19. J. Wang and B. Wang, Phys. Rev. B 65, 153311 (2002).
20. M. Blaauboer, Phys. Rev. B 65, 235318 (2002).
21. M. Blaauboer and E.J. Heller, Phys. Rev. B 64, 241301 (2001).
22. T. Aono, Phys. Rev. B 67, 155303 (2003).
23. A. Banerjee, S. Das, and S. Rao, cond-mat/0307324 (unpublished).
24. D.V. Averin and K.K. Likharev, in Mesoscopic Phenomena in Solids, edited by B.L. Altshuler, P.A. Lee, and R.A. Webb (Elsevier, Amsterdam, 1991), p. 173.
25. A. Aharony and O. Entin-Wohlman, Phys. Rev. B 65, 241401 (2002).
26. O. Entin-Wohlman, A. Aharony, and V. Kashcheyevs, J. Phys. Soc. Jpn. 72A, 77 (2003).
27. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1997).
28. G. Breit and E. Wigner, Phys. Rev. 49, 519 (1936).
29. A.D. Stone and P.A. Lee, Phys. Rev. Lett. 54, 1196 (1985).
30. M. Büttiker, IBM J. Res. Dev. 32, 63 (1988).
31. M. Moskalets and M. Büttiker, Phys. Rev. B 66, 205320 (2002).
32. B. Wang, J. Wang, and H. Guo, Phys. Rev. B 68, 155326 (2003).
33. 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 294, 1488 (2001).
34. Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000).
35. H.A. Weidenmüller, Phys. Rev. B 65, 245322 (2002).
36. C.A. Stafford, Phys. Rev. Lett. 77, 2770 (1996).
37. A.P. Klein and A.J. Heeger, Phys. Rev. 144, 458 (1966).
38. B. Wang and J. Wang, Phys. Rev. B 65, 233315 (2002).
39. A. Alekseev, cond-mat/0201474 (unpublished).
40. M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986).
41. M. Paulsson, cond-mat/0210519 (unpublished).
42. A.-P. Jauho, N.S. Wingreen, and Y. Meir, Phys. Rev. B 50, 5528 (1994).
43. B. Wang, J. Wang, and H. Guo, J. Appl. Phys. 86, 5094 (1999).
44. M. Büttiker, H. Thomas, and A. Prêtre, Z. Phys. B: Condens. Matter 94, 133 (1994).
45. Distinct charge steps during the pumping cycle have been presented in Ref. 25, but with no detailed quantitative discussion of their relation to resonances.
46. αGHδt]. This is identical to Eq. (4) of Ref. 38, which in turn was proved (Refs. 38,43) equivalent to the Brouwer formulas (Refs. 5,44).
47. The use of the equilibrium ρ is justified because adiabatic pumping is invariant to the rescaling of time and can always be performed quasistatically.