Electronic lifetimes in ballistic quantum dots electrostatically coupled to metallic environments

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 8, 2004, Pages

  Guinea, Francisco ^a   Jalabert, Rodolfo A ^b   Sols, Fernando ^c  

^a INSTITUTO DE CIENCIA DE MATERIALES DE MADRID   (Spain)

^b INSTITUT DE PHYSIQUE ET CHIMIE DES MATÉRIAUX DE STRASBOURG   (France)

^c INSTITUTO NICOLÁS CABRERA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

METAL;

ARTICLE; BALLISTICS; CALCULATION; ELECTRICITY; ELECTRON TRANSPORT; ENVIRONMENT; MOLECULAR INTERACTION; PARTICLE SIZE; QUANTUM MECHANICS; RADIOISOTOPE DECAY; SCREENING; TEMPERATURE DEPENDENCE;

EID: 19544385413     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.085310     Document Type: Article

References (46)

1. U. Sivan, Y. Imry, and A. G. Aronov, Europhys. Lett. 28, 115 (1994).
2. Ya. M. Blanter, Phys. Rev. B 54, 12 807 (1996).
3. Y Imry, A. Stern, and U. Sivan, Europhys. Lett. 39, 639 (1997).
4. B. L. Altshuler, Y. Gefen, A. Kamenev, and L. S. Levitov, Phys. Rev. Lett. 78, 2803 (1997).
5. P. G. Silvestrov, Phys. Rev. Lett. 79, 3994 (1997).
6. P. Nozières, The Theory of Quantum Liquids (Addison-Wesley, New York, 1989).
7. T. Ando, A. B. Fowler, and F. Stern, Rev. Mod. Phys. 54, 437 (1982).
8. Y. Alhassid, Rev. Mod. Phys. 72, 895 (2000).
9. I. L. Aleiner, P. W. Brouwer, and L. I. Glazman, Phys. Rep. 358, 309 (2002).
10. L. P. Kouwenhoven, C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt, and N. S. Wingreen, in Proceedings NATO-ASI on Mesoscopic Electron Transport, edited by L. L. Sohn, L. P. Kouwenhoven, and G. Schön (Kluwer Series E345) (Kluwer Academic, Dordrecht, The Netherlands, 1997), p. 105.
11. A. G. Huibers, J. A. Folk, S. R. Patel, C. M. Marcus, C. I. Duruöz, and J. S. Harris, Jr., Phys. Rev. Lett. 83, 5090 (1999).
12. L. P. Kouwenhoven, D. G. Austing, and S. Tarucha, Rep. Prog. Phys. 64, 701 (2001).
13. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
14. A. O. Caldeira and A. J. Leggett, Phys. Rev. Lett. 46, 211 (1981).
15. P. Cedraschi and M. Büttiker, Ann. Phys. (N.Y.) 289, 1 (2001).
16. A. Yacoby, M. Heiblum, D. Mahalu, and H. Shtrikman, Phys. Rev. Lett. 74, 4047 (1995).
17. R. M. Clarke, I. H. Chan, C. M. Marcus, C. I. Duruöz, J. S. Harris, Jr., K. Campman, and A. C. Gossard, Phys. Rev. B 52, 2656 (1995).
18. E. Buks, R. Schuster, M. Heiblum, D. Mahalu, and V. Umanksy, Nature (London) 391, 871 (1998).
19. J. A. Folk, C. M. Marcus, and J. S. Harris, Phys. Rev. Lett. 87, 206802 (2001).
20. M. Feingold and A. Peres, Phys. Rev. A 34, 591 (1986).
21. M. Wilkinson, J. Phys. A 20, 2415 (1987).
22. B. Mehlig, D. Boosé, and K. Müller, Phys. Rev. Lett. 75, 57 (1995); B. Mehlig, Phys. Rev. E 59, 390 (1999).
23. B. Mehlig, D. Boosé, and K. Müller, Phys. Rev. Lett. 75, 57 (1995); B. Mehlig, Phys. Rev. E 59, 390 (1999).
24. B. Eckardt, S. Fishman, K. Müller, and D. Wintgen, Phys. Rev. A 45, 3531 (1992).
25. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, NY, 1990).
26. G.-L. Ingold, R. A. Jalabert, and K. Richter, Am. J. Phys. 69, 201 (2001).
27. E. J. Austin, and M. Wilkinson, J. Phys.: Condens. Matter 5, 8461 (1993).
28. M. Sanier, and B. Mehlig, Phys. Rev. B 63, 241403 (2001).
29. K. Richter, Semiclassical Theory of Mesoscopic Quantum Systems, Springer Tracts on Modern Physics (Springer-Verlag, Berlin, 2000).
30. D. S. Golubev and A. Zaikin, Physica B 255, 164 (1998).
31. F. Guinea, Phys. Rev. B 65, 205317 (2002); 67, 045103 (2003).
32. F. Guinea, Phys. Rev. B 65, 205317 (2002); 67, 045103 (2003).
33. A. D. Mirlin, Phys. Rep. 326, 259 (2000).
34. P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985).
35. It is important to note that the effective dimensionality d of the response of the gate is determined by the ratio of its various dimensions to the distance to the dot. The potential fluctuations induced at a distance z by a metallic slab of width w' much smaller than z can be described as if the wire were two-dimensional (see the Appendix), even if the width is much larger than its Fermi wavelength.
36. W. Liang, M. Bockrath, D. Bozovic, J. H. Hafner, M. Tinkham, and H. Park, Nature (London) 411, 665 (2001).
37. J. Gonzalez, F. Guinea, and M. A. H. Vozmediano, Phys. Rev. B 59, R2474 (1999).
38. T. Ihn, A. Fuhrer, T. Heinzel, K. Ensslin, W. Wegscheider, and M. Bichler, Physica E (Amsterdam) 16, 83 (2003).
39. M. Sigrist, A. Fuhrer, T. Ihn, E. Ensslin, S. E. Ulloa, W. Wegscheider, and M. Bichler, cond-mat/0308223.
40. H. C. Manoharan, C. P. Lutz, and D. M. Eigler, Nature (London) 403, 512 (2000).
41. G. A. Fiete and E. J. Heller, Rev. Mod. Phys. 75, 933 (2003).
42. 2) does not contribute to the decay rate in Eq. (2), we obtain effectively the bilinear behavior S(r,r')∼r-r' which characterizes the coupling for z ≫L.
43. R. H. Ritchie and A. L. Marusak, Surf. Sci. 4, 234 (1966).
44. F. Sols and R. H. Ritchie, Surf. Sci. 194, 275 (1988).
45. P. M. Echenique, F. Flores, and F. Sols, Phys. Rev. Lett. 55, 2348 (1985).
46. P. M. Echenique, J. M. Pitarke, E. V. Chulkov, and A. Rubio, Chem. Phys. 251, 1 (2000).