Noise properties and ac conductance of mesoscopic diffusive conductors with screening

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 4, 1999, Pages 2848-2860

  Naveh, Y ^a   Averin, D V ^a   Likharev, K K ^a  

^a STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4244072025     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.2848     Document Type: Article

References (46)

1. D. V. Averin and K. K. Likharev, in Mesoscopic Phenomena in Solids, edited by B. L. Altshuler, P. A. Lee, and R. A. Webb (Elsevier, Amsterdam, 1991).
2. C. W. J. Beenakker and M. Büttiker, Phys. Rev. B 46, 1889 (1992).
3. K. E. Nagaev, Phys. Lett. A 169, 103 (1992).
4. Yu. Nazarov, Phys. Rev. Lett. 73, 134 (1994).
5. M. J. M. de Jong and C. W. J. Beenakker, Physica A 230, 219 (1996).
6. Ya. M. Blanter and M. Büttiker, Phys. Rev. B 56, 2127 (1997).
7. M. J. M. de Jong and C. W. J. Beenakker, in Coulomb and Interference Effects in Small Electronic Structures, edited by D. C. Glattli and M. Sanquer (Editions Frontiéres, France, 1995).
8. Other views consider the agreement between the two theories as a sheer coincidence: R. Landauer, Physica B 227, 156 (1996);private communication.
9. K. E. Nagaev, Phys. Rev. B 52, 4740 (1995).
10. V. I. Kozub and A. M. Rudin, Surf. Sci. 361/362, 722 (1996).
11. A. van der Ziel, Noise (Prentice-Hall, Englewood Cliffs, NJ, 1954).
12. B. L. Altshuler, L. S. Levitov, and A. Yu. Yakovets, Pis’ma Zh. Éksp. Teor. Fiz. 59, 821 (1994) [JETP Lett. 59, 857 (1994)].
13. Y. Naveh, D. V. Averin, and K. K. Likharev, Phys. Rev. Lett. 79, 3482 (1997).
14. Behavior of the noise at the electrode-conductor interface in a similar model was also calculated by K. E. Nagaev, Phys. Rev. B 57, 4628 (1998).
15. Y. Imry and N. S. Shiren, Phys. Rev. B 33, 7992 (1986).
16. M. Büttiker, Ann. (N.Y.) Acad. Sci. 480, 195 (1986).
17. Y. Gefen and O. Entin-Wohlman, Ann. Phys. (N.Y.) 206, 68 (1991).
18. B. Reulet and H. Bouchiat, Phys. Rev. B 50, 2259 (1994).
19. M. Büttiker, J. Phys.: Condens. Matter 5, 9361 (1993).
20. M. Büttiker, J. Math. Phys. 37, 4793 (1996).
21. M. Buttiker and T. Christen, in Theory of Transport Properties of Semiconductor Nanostructures, edited by E. Schöll (Chapman and Hall, London, 1998).
22. B. L. Altshuler, A. G. Aronov, D. E. Khmelnitskii, and A. I. Larkin, in Quantum Theory of Solids, edited by I. M. Lifshits, Advances in Science and Technology in the USSR, Physics Series (Mir, Moscow, 1982).
23. S. A. Vitkalov, Zh. Éksp. Teor. Fiz. 109, 1846 (1996) [JETP 82, 994 (1996)].
24. P. W. Brouwer and M. Büttiker, Europhys. Lett. 37, 441 (1997).
25. F. von Oppen and A. Stern, Phys. Rev. Lett. 79, 1114 (1997).
26. That screening may affect the noise was first suggested by R. Landauer, Ann. (N.Y.) Acad. Sci. 755, 417 (1995).
27. Sh. M. Kogan and A. Ya. Shul’man, Zh. Éksp. Teor. Fiz. 56, 862 (1969) [Sov. Phys. JETP 29, 467 (1969)].
28. Sh. Kogan, Electronic Noise and Fluctuations in Solids (Cambridge University Press, Cambridge, 1996), p. 80.
29. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, Oxford, 1981), Sec. 83.
30. The reader is reminded that ρ is the excess charge density, i.e., (Formula presented) with (Formula presented) the density of states.
31. In the case when the interfaces between the conductor and the electrodes are smooth on the scale of (Formula presented) the diffusion approximation applies also to the interface region, and the boundary conditions (2.17) and (2.18) [as well as their detailed form, the continuity of (Formula presented) and of (Formula presented)] can be obtained directly by integrating Eq. (2.6) across the interface region.
32. W. R. Smythe, Static and Dynamic Electricity, 3rd ed. (McGraw-Hill, New York, 1968), p. 78.
33. Y. Imry, in Direction in Condensed Matter Physics, edited by G. Grinstein and G. Mazenko (World Scientific, Singapore, 1986).
34. This condition is stronger than the Mott criterion (Ref. 35) (Formula presented) necessary for the electrons to be delocalized.
35. R. F. Milligan, T. F. Rosenbaum, R. N. Bhatt, and G. A. Thomas, in Electron-Electron Interactions in Disordered Systems, edited by A. L. Efros and M. Pollak (North-Holland, Amsterdam, 1985).
36. We have used (Formula presented) and (Formula presented) as the InSb parameters, Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology, Vol. 17a, edited by O. Madelung (Springer-Verlag, Berlin, 1982).
37. S. Luryi, Appl. Phys. Lett. 52, 501 (1988).
38. See, e.g., K. Likharev, Radiophys. Quantum Electron. 14, 964 (1972).
39. J. B. Pieper, J. C. Price, and J. M. Martinis, Phys. Rev. B 45, 3857 (1992).
40. G. U. Sumanasekera, B. D. Williams, D. V. Baxter, and J. P. Carini, Solid State Commun. 85, 941 (1993).
41. F. Liefrink, J. I. Dijkhuis, M. J. M. de Jong, L. W. Molenkamp, and H. van Houten, Phys. Rev. B 49, 14 066 (1994).
42. A. H. Steinbach, J. M. Martinis, and M. H. Devoret, Phys. Rev. Lett. 76, 3806 (1996).
43. M. Henny, H. Birk, R. Huber, C. Strunk, A. Bachtold, M. Krüger, and C. Schönenberger, Appl. Phys. Lett. 71, 773 (1997).
44. R. J. Schoelkopf, P. J. Burke, A. Kozhevnikov, D. E. Prober, and M. J. Rooks, Phys. Rev. Lett. 78, 3370 (1997).
45. M. Reznikov, M. Heiblum, H. Shtrikman, and D. Mahalu, Phys. Rev. Lett. 75, 3340 (1995).
46. R. J. Schoelkopf (private communication).