Publication: Localization of two interacting electrons in quantum dot arrays driven by an ac field
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2004-04
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American Physical Society
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Abstract
We investigate the dynamics of two interacting electrons moving in a one-dimensional array of quantum dots under the influence of an ac field. We show that the system exhibits two distinct regimes of behavior, depending on the ratio of the strength of the driving field to the interelectron Coulomb repulsion. When the ac-field dominates, an effect termed coherent estruction of tunneling occurs at certain frequencies, in which transport along the array is suppressed. In the other, weak-driving, regime we find the surprising result that the two electrons can bind into a single composite particle—despite the strong Coulomb repulsion between them— which can then be controlled by the ac field in an analogous way. We show how calculation of the Floquet quasienergies of the system explains these results, and thus how ac fields can be used to control the localization of interacting electron systems.
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©2004 The American Physical Society.
C.E.C. acknowledges support from the physics department of the Università di Roma ‘‘La Sapienza.’’ G.P. was supported by the Spanish DGES Grant No. MAT2002-22465 and by the EU Human Potential Program under Contract No. HPRN-CT-2000-00144.
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1. F. Grossmann, T. Dittrich, P. Jung, and P. Ha¨nggi, Phys. Rev. Lett. 67, 516 (1991).
2. F. Grossmann and P. Ha¨nggi, Europhys. Lett. 18, 571 (1992).
3. D.H. Dunlap and V.M. Kenkre, Phys. Rev. B 34, 3625 (1986).
4. M. Holthaus, Phys. Rev. Lett. 69, 351 (1992).
5. Xian-Geng Zhao, J. Phys.: Condens. Matter 6, 2751 (1994).
6. P.I. Tamborenea and H. Metiu, Europhys. Lett. 53, 776 (2001).
7. P. Zhang and X.-G. Zhou, Phys. Lett. A 271, 419 (2000).
8. Ping Zhang, Qi-Kun Xue, Xian-Geng Zhao, and X.C. Xie, Phys. Rev. A 66, 022117 (2002).
9. Emmanuel Paspalakis, Phys. Rev. B 67, 233306 (2003).
10. C.E. Creffield and G. Platero, Phys. Rev. B 65, 113304 (2002).
11. C.E. Creffield and G. Platero, Phys. Rev. B 66, 235303 (2002).
12. D. Loss and D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998).
13. J.M. Elzerman, R. Hanson, J.S. Greidanus, L.H. Willems van Beveren, S. De Franceschi, L.M.K. Vandersypen, S. Tarucha, and L.P. Kouwenhoven, Phys. Rev. B 67, 161308(R) (2003).
14. C.E. Creffield and G. Platero, in The Anderson Transition and its Ramifications, edited by T. Brandes and S. Kettemann (SpringerVerlag, Berlin, 2003).
15. Ken-ichi Noba, Phys. Rev. B 67, 153102 (2003).
16. F.R. Waugh, M.J. Berry, D.J. Mar, R.M. Westervelt, K.L. Campman, and A.C. Gossard, Phys. Rev. Lett. 75, 705 (1995).
17. T. Fujisawa, D.G. Austing, Y. Tokura, Y. Hirayama, and S. Tarucha, Phys. Rev. Lett. 88, 236802 (2002).
18. The quasienergies are only defined up to an arbitrary multiple of the driving frequency, that is ε and ε + nω correspond to the same physical state. In this work we take the normal convention of restricting the quasienergies to the ‘‘first Brillouin zone’’ ( ―ω / 2 ≤ ε < ω /2 ) which gives a unique representation.
19. M. Grifoni and P. Ha¨nggi, Phys. Rep. 304, 229 (19989.
20. M. Holthaus, Z. Phys. B: Condens. Matter 89, 251 (19929.
21. W. Paul, Rev. Mod. Phys. 62, 531 (19909.
22. Olga Smirnova, Michael Spanner, and Misha Ivanov, Phys. Rev. Lett. 90, 243001 (2003).
23. In fact, a small asymmetry between diffusion to the left and to the right is introduced by the phase of the driving field [Eq. (2)], but after averaging over many periods of the driving this asymmetry becomes negligible.
24. P.I. Tamborenea and H. Metiu, Phys. Rev. Lett. 83, 3912 (19999.
25. Daniel S. Saraga and Daniel Loss, Phys. Rev. Lett. 90, 166803 (20039.
26. W.D. Oliver, F. Yamaguchi, and Y. Yamamoto, Phys. Rev. Lett. 88, 037901 (2002).
27. T. Hayashi, T. Fujisawa, H.D. Cheong, Y.-H. Jeong, and Y. Hirayama, Phys. Rev. Lett. 91, 226804 (2003).
28. Wei Lu, Zhongqing Ji, Loren Pfeiffer, K.W. West, and A.J. Rimberg, Nature (London) 423, 422 (2003).