Current noise of a single-electron transistor coupled to a nanomechanical resonator [63]

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 16, 2004, Pages 1-11

  Armour, A D ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CORRELATION ANALYSIS; MOLECULAR MECHANICS; NANOTECHNOLOGY; NOISE; SEMICONDUCTOR; TEMPERATURE;

EID: 11244271547     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.165315     Document Type: Article

References (39)

1. L.Y. Gorelik, A. Isacsson, M.V. Voinova, B. Kasemo, R.I. Shekhter, and M. Jonson, Phys. Rev. Lett. 80, 4526 (1998); R.I. Shekhter, Yu. Galperin, L.Y. Gorelik, A. Isacsson, and M. Jonson, J. Phys.: Condens. Matter 15, R441 (2003).
2. L.Y. Gorelik, A. Isacsson, M.V. Voinova, B. Kasemo, R.I. Shekhter, and M. Jonson, Phys. Rev. Lett. 80, 4526 (1998); R.I. Shekhter, Yu. Galperin, L.Y. Gorelik, A. Isacsson, and M. Jonson, J. Phys.: Condens. Matter 15, R441 (2003).
3. A.D. Armour and A. MacKinnon, Phys. Rev. B 66, 035333 (2002); T. Novotný, A. Donarini, and A.-P. Jauho, Phys. Rev. Lett. 90, 256801 (2003).
4. A.D. Armour and A. MacKinnon, Phys. Rev. B 66, 035333 (2002); T. Novotný, A. Donarini, and A.-P. Jauho, Phys. Rev. Lett. 90, 256801 (2003).
5. E.M. Weig, R.H. Blick, T. Brandes, J. Kirschbaum, W. Wegscheider, M. Bichler, and J.P. Kotthaus, Phys. Rev. Lett. 92, 046804 (2004).
6. N. Nishiguchi, Phys. Rev. B 68, 121305(R) (2003).
7. A.N. Cleland and M.L. Roukes, Nature (London) 392, 160 (1998).
8. R.S. Knobel and A.N. Cleland, Nature (London) 424, 291 (2003).
9. M.D. LaHaye, O. Buu, B. Camarota, and K.C. Schwab, Science 304, 74 (2004).
10. J.D. White, Jpn. J. Appl. Phys., Part 2 32, L1571 (1993).
11. M.P. Blencowe and M.N. Wybourne, Appl. Phys. Lett. 77, 3845 (2000).
12. Y. Zhang and M.P. Blencowe, J. Appl. Phys. 91, 4249 (2002).
13. M.F. Bocko and R. Onofrio, Rev. Mod. Phys. 68, 755 (1996).
14. A.D. Armour, M.P. Blencowe, and K.C. Schwab, Phys. Rev. Lett. 88, 148301 (2002).
15. M.P. Blencowe, Phys. Rep. 395, 159 (2004).
16. A.D. Armour, M.P. Blencowe, and Y. Zhang, Phys. Rev. B 69, 125313 (2004).
17. D. Mozyrsky and I. Martin, Phys. Rev. Lett. 89, 018301 (2002).
18. A.Yu. Smirnov, L.G. Mourokh, and N.J.M. Horing, Phys. Rev. B 67, 115312 (2003).
19. D. Mozyrsky, I. Martin, and M.B. Hastings, Phys. Rev. Lett. 92, 018303 (2004).
20. A. Hopkins, K. Jacobs, S. Habib, and K. Schwab, Phys. Rev. B 68, 235328 (2003).
21. Ya.M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000).
22. D.K. Ferry and S.M. Goodnick, Transport in Nanostructures (Cambridge University Press, Cambridge, UK, 1997).
23. U. Hanke, Yu. Galperin, K.A. Chao, M. Gisselfält, M. Jonson, and R.I. Shekter, Phys. Rev. B 51, 9084 (1995).
24. H.B. Sun and G.J. Milburn, Phys. Rev. B 59, 10748 (1999).
25. A.N. Korotkov, Phys. Rev. B 49, 10381 (1994).
26. j, one can set a=b=1/2, as discussed in Ref. 21.
27. R. Aguado and T. Brandes, Phys. Rev. Lett. 92, 206601 (2004).
28. D.K.C. MacDonald, Noise and Fluctuations: An Introduction (Wiley, New York, 1962).
29. D.K.C. MacDonald, Philos. Mag. 40, 561 (1949).
30. R. Ruskov and A.N. Korotkov, Phys. Rev. B 67, 075303 (2003).
31. D. Mozyrsky, L. Fedichkin, S.A. Gurvitz, and G.P. Berman, Phys. Rev. B 66, 161313(R) (2002).
32. W.H. Press, S.A. Teukolsky, W.T. Vetterling, and B.P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, Cambridge, UK, 1992).
33. The range of values of ε and κ which might be achieved in practice is discussed in Ref. 14, but in general it is expected that SET-resonator systems will operate in the regime where ε, κ≪1.
34. E.V. Sukhorukov, G. Burkard, and D. Loss, Phys. Rev. B 63, 125315 (2001).
35. C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd ed. (Springer-Verlag, Berlin, 1985).
36. This is readily found from the approximate solution for the charge-charge correlation function, valid for ε≪1, that is obtained via the approach used to solve the mean coordinate equations in Ref. 14.
37. F. Pistolesi, Phys. Rev. B 69, 245409 (2004).
38. A. Isacsson and T. Nord, Europhys. Lett. 66, 708 (2004).
39. T. Novotný, A. Donarini, C. Flindt, and A.-P. Jauho, Phys. Rev. Lett. 92, 248302 (2004).