Transport theory of interacting mesoscopic systems: A memory-function approach to charge-counting statistics

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 15, 2004, Pages

  Macedo A M S ^a  

^a FEDERAL UNIVERSITY OF PERNAMBUCO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; DYNAMICS; ELECTRIC POTENTIAL; ELECTRICITY; MATHEMATICAL ANALYSIS; MEMORY; PARTICULATE MATTER; QUANTUM MECHANICS; THEORY; TIME; VALIDATION PROCESS;

EID: 42749098081     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.155309     Document Type: Article

References (71)

1. See, e.g., D.K. Ferry and S.M. Goodnick, Transport in Nano-structures (Cambridge University Press, Cambridge, 1997).
2. R. Landauer, IBM J. Res. Dev. 1, 223 (1957); Philos. Mag. 21, 863 (1970).
3. R. Landauer, IBM J. Res. Dev. 1, 223 (1957); Philos. Mag. 21, 863 (1970).
4. For a historical account, see A.D. Stone and A. Szafer, IBM J. Res. Dev. 32, 317 (1988).
5. M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986); IBM J. Res. Dev. 32, 317 (1988).
6. M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986); IBM J. Res. Dev. 32, 317 (1988).
7. M. Switkes, C.M. Marcus, K. Campman, and A.G. Gossard, Science 283, 1907 (1999).
8. W.G. van der Wiel, T.H. Oosterkamp, S. De Franceschi, C.J.P. M. Harmans, and L.P. Kouwenhoven, in Strongly Correlated Fermions and Bosons in Low-dimensional Disordered Systems, edited by I.V. Lerner, B.L. Altshuler, and V.I. Fal'ko (Kluwer Academic, Dordrecht, 2002), pp. 43-68.
9. W.G. van der Wiel, S. De Franceschi, J.M. Elzerman, T. Fujisawa, S. Tarucha, and L.P. Kouwenhoven, Rev. Mod. Phys. 75, 1 (2003).
10. U. Wilhelm and J. Weiss, Physica E (Amsterdam) 6, 668 (2000).
11. A.G. Huibers, M. Switkes, C.M. Marcus, K. Campman, and A.C. Gossard, Phys. Rev. Lett. 81, 200 (1998).
12. A.K. Geim, P.C. Main, N. La Scala, Jr., L. Eaves, T.J. Foster, P.H. Beton, J.W. Sakai, F.W. Sheard, M. Henini, G. Hill, and M.A. Pate, Phys. Rev. Lett. 72, 2061 (1994).
13. For a review, see B. Panetier and H. Courtois, J. Low Temp. Phys. 118, 599 (2000).
14. G.A. Prinz, Science 282, 1660 (1998).
15. N. Agraït, A. Levy Yeyati, and J.M. Ruitenbeek, Phys. Rep. 377, 81 (2003).
16. A. Oguri, J. Phys. Soc. Jpn. 70, 2666 (2001).
17. Y. Meir and N.S. Wingreen, Phys. Rev. Lett. 68, 2512 (1992).
18. A.-P. Jauho, N.S. Wingreen, and Y. Meir, Phys. Rev. B 50, 5528 (1994).
19. T. Rejec and A. Ramšak, Phys. Rev. B 68, 035342 (2003); R.A. Molina, D. Weinmann, R.A. Jalabert, G.-L. Ingold, and J.-L. Pichard, ibid. 67, 235306 (2003).
20. T. Rejec and A. Ramšak, Phys. Rev. B 68, 035342 (2003); R.A. Molina, D. Weinmann, R.A. Jalabert, G.-L. Ingold, and J.-L. Pichard, ibid. 67, 235306 (2003).
21. G. Chiappe and J.A. Vergés, J. Phys. C 15, 8805 (2003).
22. G. Murthy, R. Shankar, D. Herman, and M. Mathur, cond-mat/0306529 (unpublished); G. Murthy and H. Mathur, Phys. Rev. Lett. 89, 126804 (2002); G. Murthy and R. Shankar, ibid. 90, 066801 (2003).
23. G. Murthy, R. Shankar, D. Herman, and M. Mathur, cond-mat/0306529 (unpublished); G. Murthy and H. Mathur, Phys. Rev. Lett. 89, 126804 (2002); G. Murthy and R. Shankar, ibid. 90, 066801 (2003).
24. G. Murthy, R. Shankar, D. Herman, and M. Mathur, cond-mat/0306529 (unpublished); G. Murthy and H. Mathur, Phys. Rev. Lett. 89, 126804 (2002); G. Murthy and R. Shankar, ibid. 90, 066801 (2003).
25. I.L. Aleiner, P.W. Brouwer, and L.I. Glazman, Phys. Rep. 358, 309 (2002).
26. M. Kindermann and Yu. V. Nazarov, Phys. Rev. Lett. 91, 136802 (2003).
27. A.M.S. Macêdo and A.M.C. Souza (unpublished).
28. F. Green and M.P. Das, cond-mat/0211007 (unpublished).
29. A. Kamenev and W. Kohn, Phys. Rev. B 63, 155304 (2001).
30. V.B. Braginsky and F. Ya. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992).
31. L.V. Keldysh, Zh. Éksp. Teor. Fiz. 47, 15 151 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
32. L.V. Keldysh, Zh. Éksp. Teor. Fiz. 47, 15 151 (1964) [Sov. Phys. JETP 20, 1018 (1965)].
33. E. Fick and G. Sauermann, The Quantum Statistics of Dynamic Processes (Springer-Verlag, Heidelberg, 1990).
34. L.S. Levitov and G.B. Lesovik, Pis'ma Zh. Éksp. Teor. Fiz. 58, 225 (1993) [JETP Lett. 58, 230 (1993)].
35. L.S. Levitov and G.B. Lesovik, Pis'ma Zh. Éksp. Teor. Fiz. 58, 225 (1993) [JETP Lett. 58, 230 (1993)].
36. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001).
37. M.H. Devoret and R.J. Schoelkopf, Nature (London) 406, 1039 (2000).
38. D.A. Ivanov and L.S. Levitov, Pis'ma Zh. Éksp. Teor. Fiz. 58, 450 (1993) [JETP Lett. 58, 461 (1993)]; D.A. Ivanov, H.W. Lee, and L.S. Levitov, Phys. Rev. B 56, 6839 (1997).
39. D.A. Ivanov and L.S. Levitov, Pis'ma Zh. Éksp. Teor. Fiz. 58, 450 (1993) [JETP Lett. 58, 461 (1993)]; D.A. Ivanov, H.W. Lee, and L.S. Levitov, Phys. Rev. B 56, 6839 (1997).
40. D.A. Ivanov and L.S. Levitov, Pis'ma Zh. Éksp. Teor. Fiz. 58, 450 (1993) [JETP Lett. 58, 461 (1993)]; D.A. Ivanov, H.W. Lee, and L.S. Levitov, Phys. Rev. B 56, 6839 (1997).
41. A. Andreev and A. Kamenev, Phys. Rev. Lett. 85, 1294 (2000).
42. W. Magnus and W. Schoenmaker, Phys. Rev. B 61, 10 883 (2000).
43. W. Magnus and W. Schoenmaker, J. Math. Phys. 39, 6715 (1998).
44. J. Rammer and H. Smith, Rev. Mod. Phys. 58, 323 (1986).
45. This restriction can be somewhat relaxed by an appropriate redefinition of the statistics of time averages, see, e.g., Ref. 39.
46. L.S. Levitov, H. Lee, and G.B. Lesovik, J. Math. Phys. 37, 4845 (1996).
47. J. Rammer, Rev. Mod. Phys. 63, 781 (1991).
48. M. Kindermann and Yu. V. Nazarov, in Quantum Noise in Mesoscopic Systems, edited by Yu. V. Nazarov (Kluwer Academic, Dodrecht, 2003).
49. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
50. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958); R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); H. Mori, Prog. Theor. Phys. 33, 423 (1965); B. Robertson, Phys. Rev. 144, 151 (1966).
51. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958); R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); H. Mori, Prog. Theor. Phys. 33, 423 (1965); B. Robertson, Phys. Rev. 144, 151 (1966).
52. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958); R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); H. Mori, Prog. Theor. Phys. 33, 423 (1965); B. Robertson, Phys. Rev. 144, 151 (1966).
53. S. Nakajima, Prog. Theor. Phys. 20, 948 (1958); R. Zwanzig, J. Chem. Phys. 33, 1338 (1960); H. Mori, Prog. Theor. Phys. 33, 423 (1965); B. Robertson, Phys. Rev. 144, 151 (1966).
54. R. Balian, Y. Alhassid, and H. Reinhardt, Phys. Rep. 131, 1 (1986).
55. C.P. Enz, A Course on Many-Body Theory Applied to Solid-State Physics (World Scientific, Singapore, 1992).
56. J.W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, New York, 1988).
57. D.C. Langreth, in Linear and Nonlinear Electron Transport in Solids, edited by J.T. Devreese and E. van Doren (Plenum Press, New York, 1976).
58. D. Boyanovsky and H.J. de Vega, Ann. Phys. (N.Y.) 307, 335 (2003).
59. For a review, see L.S. Levitov, in Quantum Noise in Mesoscopic Systems (Ref. 39).
60. See, e.g., S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1997).
61. A.M.S. Macêdo, Phys. Rev. B 61, 4453 (2000).
62. A.M.S Macêdo, Phys. Rev. B 65, 132510 (2002).
63. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999).
64. C. Mahaux and H.A. Weidenmüller, Shell Model Approach in Nuclear Reactions (North-Holland, Amsterdam, 1969).
65. A. Kamenev and A. Andreev, Phys. Rev. B 60, 2218 (1999); C. Chamon, A.W.W. Ludwig and C. Nayak, ibid. 60, 2239 (1999).
66. A. Kamenev and A. Andreev, Phys. Rev. B 60, 2218 (1999); C. Chamon, A.W.W. Ludwig and C. Nayak, ibid. 60, 2239 (1999).
67. For a discussion, see A. Kamenev, cond-mat/0109316 (unpublished).
68. K.B. Efetov, Supersymmetry in Disorder and Chaos (Cambridge University Press, Cambridge, 1997).
69. M.R. Zirnbauer, J. Math. Phys. 37, 4986 (1996).
70. P.A. Mello and H.U. Baranger, Waves Random Media 9, 105 (1999).
71. A.M.S. Macêdo, Phys. Rev. B 63, 115309 (2001).