Resonant tunneling through linear arrays of quantum dots

Physical Review B - Condensed Matter and Materials Physics

Volumn 60, Issue 20, 1999, Pages 14318-14327

  Wegewijs, M R ^a   Nazarov, Y ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001414682     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.60.14318     Document Type: Article

References (15)

1. L. P. Kouwenhoven, F. W. J. Hekking, B. J. van Wees, C. J. P. M. Harmans, C. E. Timmering, and C. T. Foxon, Phys. Rev. Lett. 65, 361 (1990);
2. L. P. Kouwenhoven, Science 268, 1440 (1995).
3. N. C. Van der Vaart, S. F. Godijn, Yu. V. Nazarov, C. J. P. M. Harmans, J. E. Mooij, L. W. Molenkamp, and C. T. Foxon, Phys. Rev. Lett. 74, 4702 (1995);
4. Phys. Rev. Lett.T. H. Oosterkamp, S. F. Godijn, M. J. Uilenreef, Yu. V. Nazarov, N. C. van der Vaart, and L. P. Kouwenhoven, 80, 4951 (1998).
5. E. E. Mendez and G. Bastard, Phys. Today 46(7), 33 (1993).
6. A. N. Korotkov, D. V. Averin, and K. K. Likharev, Phys. Rev. B 49, 7548 (1994).
7. A. M. Frishman and S. A. Gurvitz, Phys. Rev. B 47, 16 348 (1993).
8. G. Chen, G. Klimeck, S. Datta, G. Chen, and W. A. Goddard III, Phys. Rev. B 50, 8035 (1994).
9. Yu. V. Nazarov, Physica B 189, 57 (1993).
10. When a very large infinite on-site Coulomb repulsion is assumed, the electron spin can be included by taking into account the spin-degeneracy of the single dot levels. In a high magnetic field where all electron spins are aligned, this degeneracy is absent and our results apply directly.
11. S. A. Gurvitz and Ya. S. Prager, Phys. Rev. B 53, 15 932 (1996). In this paper the modified Liouville equation is derived for the case of a single and double quantum dot by “tracing out” the reservoir states from the Schrödinger equation for the device and the leads.However, the generalization to an arbitrary device [result Eq. (6.1) in Ref. 10] is not the most general equation; one should instead use the form given in later publications, e.g., Eq. (2.1) in Ref. 11. S. A. Gurvitz (private communication).
12. S. A. Gurvitz, Phys. Rev. B 57, 6602 (1998).
13. E. Merzbacher, Quantum Mechanics, 2nd ed. (John Wiley & Sons, New York, 1961), p. 479.
14. T. H. Stoof and Yu. V. Nazarov, Phys. Rev. B 55, 1050 (1996).
15. S. A. Gurvitz, Phys. Rev. B 44, 11 924 (1991).