Current noise in a vibrating quantum dot array

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 20, 2004, Pages

  Flindt, Christian ^a   Novotný, Tomáš ^a,b   Jauho, Antti Pekka ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MOLECULAR MODEL; NOISE; QUANTUM DOT; VIBRATION;

EID: 42749100786     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.205334     Document Type: Article

References (75)

1. H. G. Craighead, Science 290, 1532 (2000).
2. A. N. Cleland, Foundations of Nanomechanics, Advanced Texts in Physics (Springer, Berlin, 2003).
3. M. Blencowe, Phys. Rep. 395, 159 (2004).
4. A. N. Cleland and M. L. Roukes, Nature (London) 392, 160 (1998).
5. H. Park, J. Park, A. K. L. Lim, E. H. Anderson, A. P. Alivisatos, and P. L. McEuen, Nature (London) 407, 57 (2000).
6. A. Erbe, C. Weiss, W. Zwerger, and R. H. Blick, Phys. Rev. Lett. 87, 096106 (2001).
7. E. M. Weig, R. H. Blick, T. Brandes, J. Kirschbaum, W. Wegseheider, M. Bichler, and J. P. Kotthaus, Phys. Rev. Lett. 92, 046804 (2004).
8. R. G. 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. L. Y. Gorelik, A. Isacsson, M. V. Voinova, B. Kasemo, R. I. Shekhter, and M. Jonson, Phys. Rev. Lett. 80, 4526 (1998).
11. C. Weiss and W. Zwerger, Europhys. Lett. 47, 97 (1999).
12. D. Boese and H. Schoeller, Europhys. Lett. 54, 668 (2001).
13. R. E. S. Polkinghorne and G. J. Milburn, Phys. Rev. A 64, 042318 (2001).
14. N. Nishiguchi, Phys. Rev. B 65, 035403 (2001).
15. D. Fedorets, L. Y. Gorelik, R. I. Shekhter, and M. Jonson, Europhys. Lett. 58, 99 (2002).
16. A. D. Armour and A. MacKinnon, Phys. Rev. B 66, 035333 (2002).
17. D. Mozyrsky and I. Martin, Phys. Rev. Lett. 89, 018301 (2002).
18. SN. Nishiguchi, Phys. Rev. Lett. 89, 066802 (2002).
19. A. Yu. Smirnov, L. G. Mourokh, and N. J. M. Horing, Phys. Rev. B 67, 115312 (2003).
20. T. Brandes and N. Lambert, Phys. Rev. B 67, 125323 (2003).
21. K. D. McCarthy, N. Prokof'ev, and M. T. Tuominen, Phys. Rev. B 67, 245415 (2003).
22. T. Novotný, A. Donarini, and A.-P. Jauho, Phys. Rev. Lett. 90, 256801 (2003).
23. K. Flensberg, Phys. Rev. B 68, 205323 (2003).
24. S. Braig and K. Flensberg, Phys. Rev. B 68, 205324 (2003).
25. A. Mitra, I. Aleiner, and A. J. Millis, Phys. Rev. B 69, 245302 (2004).
26. P. Werner and W. Zwerger, Europhys. Lett. 65, 158 (2004).
27. S. Braig and K. Flensberg, Phys. Rev. B 70, 085317 (2004).
28. F. Pistolesi, Phys. Rev. B 69, 245409 (2004).
29. A. D. Armour, Phys. Rev. B 70, 165315 (2004).
30. N. M. Chtchelkatchev, W. Belzig, and C. Bruder, Phys. Rev. B 70, 193305 (2004).
31. A. Isacsson and T. Nord, Europhys. Lett. 66, 708 (2004).
32. A. Yu. Smirnov, L. G. Mourokh, and N. J. M. Horing, Phys. Rev. B 69, 155310 (2004).
33. D. Fedorets, L. Y. Gorelik, R. I. Shekhter, and M. Jonson, Phys. Rev. Lett. 92, 166801 (2004).
34. T. Novotný, A. Donarini, C. Flindt, and A.-P. Jauho, Phys. Rev. Lett. 92, 248302 (2004).
35. Ya. M. Blanter, O. Usmani, and Yu. V. Nazarov, Phys. Rev. Lett. 93, 136802 (2004).
36. Sh. Kogan, Electronic Noise and Fluctuations in Solids (Cambridge University Press, Cambridge, 1996).
37. Ya. M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000).
38. C. Beenakker and C. Schönenberger, Phys. Today 56 (5), 37 (2003).
39. A. A. Middleton and N. S. Wingreen, Phys. Rev. Lett. 71, 3198 (1993).
40. C. A. Stafford and S. D. Sarma, Phys. Rev. Lett. 72, 3590 (1994).
41. T. H. Stoof and Yu. V. Nazarov. Phys. Rev. B 53, 1050 (1996).
42. S. A. Gurvitz and Ya. S. Prager, Phys. Rev. B 53, 15 932 (1996).
43. B. Elattari and S. A. Gurvitz, Phys. Lett. A 292, 289 (2002).
44. E. V. Sukhorukov, G. Burkard, and D. Loss, Phys. Rev. B 63, 125315 (2001).
45. C. W. Gardiner and P. Zoller, Quantum Noise, 2nd ed. (Springer, New York, 2000).
46. C. W. Gardiner, cond-mat/0310542 (unpublished).
47. U. Weiss, Quantum Dissipative Systems, Vol. 10 of Series in Modern Condensed Matter Physics, 2nd ed. (World Scientific, Singapore, 1999).
48. A. Donarini, T. Novotný, and A.-P. Jauho, Semicond. Sci. Technol. 19, S430 (2004).
49. The influence of two "baths" on a single system may lead to interesting physical phenomena-see, e.g., Ref. 75 where the subtle interplay between a detector and bath is studied. A similar study in the context of NEMS has not been carried out yet.
50. H. Spohn, Rev. Mod. Phys. 52, 569 (1980).
51. L. Accardi, Y. G. Lu, and I. Volovich, Quantum Theory and its Stochastic Limit (Springer, Berlin, 2002).
52. R. Aguado and T. Brandes, Phys. Rev. Lett. 92, 206601 (2004).
53. H. Carmichael, An Open Systems Approach to Quantum Optics (Springer, Berlin, 1993).
54. D. Kohen, C. C. Marston, and D. J. Tannor, J. Chem. Phys. 107, 5236 (1997).
55. There are different conventions used in the literature. Here we define the spectrum as the Fourier transform of the correlation function without a prefactor of 2 used, e.g., in Ref. 37. The Fano factor is then given as F(O)=S(O)/eI.
56. A similar proof has been suggested to us by G. Kießlich (private communication).
57. S. Camalet, S. Kohler, and P. Hänggi, Phys. Rev. B 70, 155326 (2004).
58. J. H. Davies, P. Hyldgaard, S. Hershfield, and J. W. Wilkins, Phys. Rev. B 46, 9620 (1992).
59. S. Hershfield, J. H. Davies, P. Hyldgaard, C. J. Stanton, and J. W. Wilkins, Phys. Rev. B 47, 1967 (1993).
60. damp]=0.
61. I0 with I=L, C, R of the density matrix are decoupled from the rest and are, therefore, discarded.
62. W. T. Pollard and R. A. Friesner, J. Chem. Phys. 100, 5054 (1994).
63. G. H. Golub and C. F. V. Loan, Matrix Computations, 3rd ed. (John Hopkins University Press, Baltimore, MD, 1996).
64. T. Eirola and O. Nevanlinna, Helsinki University of Technology (2003), URL http://www.math.hut.fi/teaching/175/ex03.
65. M. R. Wegewijs and Yu. V. Nazarov, Phys. Rev. B 60, 14 318 (1999).
66. Partial and preliminary results have already been reported in the shuttling context (Refs. 48 and 67).
67. A. Donarini and A.-P. Jauho, Physica E (Amsterdam) 22, 721 (2004).
68. A. Donarini, Ph.D. thesis, MIC, Technical University of Denmark, 2004, URL http://www.mic.dtu.dk/research/TheoreticalNano/publications/Theses.htm
69. G.-L. Ingold and Yu. V. Nazarov, Single Charge Tunneling, Vol. 294 of NATO Advanced Study Institute, Series B: Physics (Plenum, New York, 1992), Chap. 2, p. 21.
70. G. Kießlich, A. Wacker, and E. Schöll, Phys. Rev. B 68, 125320 (2003).
71. C. Flindt, Master's thesis, MIC, Technical University of Denmark, 2004, URL http://www.mic.dtu.dk/research/TheoreticalNano/publications/Theses.htm
72. T. Eirola (private communication).
73. G. D. Mahan, Many-Particle Physics, 2nd ed. (Plenum, New York, 1990).
74. C. Kittel, Quantum Theory of Solids, 2nd ed. (Wiley, New York, 1964).
75. S. A. Gurvitz, L. Fedichkin, D. Mozyrsky, and G. P. Berman, Phys. Rev. Lett. 91, 066801 (2003).