Hostname: page-component-745bb68f8f-kw2vx Total loading time: 0 Render date: 2025-01-12T20:39:06.320Z Has data issue: false hasContentIssue false
  • English
  • Français

Optimization of the master equation set for a multidottunnel structure

Published online by Cambridge University Press:  15 August 1999

A. S. Cordan  and
A. Goltzené
A. S. Cordan*
Affiliation:
ERM/PHASE, CNRS, ENSPS, boulevard Sébastien Brant, 67400 Illkirch, France
A. Goltzené
Affiliation:
ERM/PHASE, CNRS, ENSPS, boulevard Sébastien Brant, 67400 Illkirch, France
*
[email protected]
Get access

Abstract

In the present paper, we report a procedure to calculate tunnel currentsas a function of the applied voltage,by an optimization of the master equation, for a highly disordered tunnel junction array. We take a very large scatter of the tunnel resistances of the individual junctions.In order to reducethe number of equations, several approaches have still been consideredin the past. Here, we propose a procedure without any decoupling:we show that relevant results can be obtained inside and outsidethe Coulomb gap once the charge state range is automatically centered,already from a ±2 truncation of the equation set, for small offset chargesor low applied voltage. This last step is achieved in a straightforward way, through the calculation of the total tunneling rate leaving a given configuration.This has beenassessed there for the first time on a highly disordered array of five junctions.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 7 , Issue 2 , August 1999 , pp. 137 - 143
Copyright
© EDP Sciences, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Likharev, K.K., IBM J. Res. Develop. 32, 144 (1988). CrossRef
D.V. Averin, K.K. Likharev in Mesoscopic Phenomena in Solids, edited by B.L. Altshuler, P.A. Lee, R.A. Webb (Elsevier Science Publishers, Amsterdam, 1991), p. 208.
M.H. Devoret, H. Grabert, Single Charge Tunneling, Coulomb Blockade Phenomena in Nanostructures, edited by H. Grabert, M.H. Devoret (Plenum Press, New York 1992), p. 6.
Nakazato, K., Blaikie, R.J., Ahmed, H., J. Appl. Phys. 75, 5123 (1994). CrossRef
Fulton, T.A., Dolan, G.J., Phys. Rev. Lett. 59, 109 (1987). CrossRef
Kuzmin, L.S., Likharev, K.K., JETP Lett. 45, 495 (1987).
Tinkham, M., Am. J. Phys. 64, 343 (1996). CrossRef
Masumoto, K., Ishii, M., Segawa, K., Oka, Y., Vartanian, B.J., Harris, J.S., Appl. Phys. Lett. 68, 34 (1996). CrossRef
Leobandung, E., Guo, L., Wang, Y., Chou, S., Appl. Phys. Lett. 67, 938 (1995). CrossRef
Altmeyer, S., Hamidi, A., Spangenberg, B., Kurz, H., J. Appl. Phys. 81, 8118 (1997). CrossRef
Hiramoto, T., Ishikuro, H., Fujii, T., Hashiguchi, G., Ikoha, T., Jpn J. Appl. Phys. 36, 4139 (1997). CrossRef
Takahashi, Y., Nagase, M., Namatsu, H., Kurihara, K., Iwdate, K., Nakajima, Y., Horiguchi, S., Murase, K., Tabe, M., Electron. Lett. 31, 136 (1995). CrossRef
Schönenberger, C., van Houten, H., Donkersloot, H.C., van der Putten, A.M.T., Fokkink, L.G.J., Phys. Scrip. T 45, 289 (1992). CrossRef
Chen, W., Ahmed, H., J. Vac. Sci. Technol. B 13, 2883 (1995). CrossRef
Dutta, A., Kimura, M., Honda, Y., Otobe, M., Itoh, A., Oda, S., Jpn J. Appl. Phys. 36, 4038 (1997). CrossRef
Cordan, A.S., Goltzené, A., Hervé, Y., Mejias, M., Vieu, C., Launois, H., J. Appl. Phys. 84, 3756 (1998). CrossRef
Bakhvalov, N.S., Kazacha, G.S., Likharev, K.K., Serdyukova, S.U., Sov. Phys. JETP 68, 581 (1989).
Amman, M., Wilkins, R., Ben-Jacob, E., Maker, P.D., Jaklevic, R.C., Phys. Rev. B 43, 1146 (1991). CrossRef
Hanna, A.E., Tinkham, M., Phys. Rev. B 44, 5919 (1991). CrossRef
Fonseca, L.R.C., Koroktov, A.N., Likharev, K.K., Odintsov, A.A., J. Appl. Phys. 78, 3238 (1995). CrossRef
E. Bar-Sadeh, Y. Goldstein, C. Zhang, H. Deng, B. Abeles, O. Millo, Phys. Rev. B 50, 8961 (1994).
Bar-Sadeh, E., Goldstein, Y., Wolovelsky, M., Porath, D., Zhang, C., Deng, H., Abeles, B., Millo, O., J. Vac. Sci. Technol. B 13, 1084 (1995). CrossRef
Averin, D.V., Odintsov, A.A., Phys. Lett. A 140, 251 (1989). CrossRef
Averin, D.V., Nazarov, Y.V., Phys. Rev. Lett. 65, 2446 (1990). CrossRef
Jensen, H.D., Martinis, J.M., Phys. Rev. B 46, 13407 (1992). CrossRef
Lafarge, P., Esteve, D., Phys. Rev. B 48, 14309 (1993). CrossRef