Abstract
A superconducting transistor structure comprising two Josephson tunnel junctions connected in series and a small island in between, which is capacitively coupled to a gate, is considered. When self-capacitances of the junctions are sufficiently small that the corresponding charging energy E c is of the order of magnitude of the Josephson coupling strength E J (and both are ≫k B T), the interplay of the charging and Josephson effects in the circuit becomes essential. This leads to a characteristic IV curve which can be effectively modulated by the gate in two limit cases of external electrodynamic impedance Z s (ω): (a) Z s = R s ≫ R Q ≈ 6.5 kΩ and (b) R s ≪ R Q . Both circuits can serve as electrometers which are competitive with traditional single-electron devices. Preliminary experimental results are discussed.
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REFERENCES
H. Grabert and M. H. Devoret, eds., Single Charge Tunneling. Coulomb Blockade Phenomena in Nanostructures, NATO ASI Series. Series B: Physics, 294 (Plenum Press, New York, 1992).
T. A. Fulton and G. J. Dolan, Phys. Rev. Lett. 59, 109 (1987).
A. N. Korotkov, D. V. Averin, K. K. Likharev, and S. A. Vasenko, in Single Electron Tunneling and Mesoscopic Devices, H. Koch and H. Lübbig, eds. Berlin, (Springer-Verlag, 1992).
B. Starmark, P. Delsing, D. B. Haviland, and T. Claeson, in 6th Int. Superconductive Electronics Conf., 25–28 June 1997, Berlin, Germany, H. Koch and S. Knappe, eds., 2, 391.
E. H. Visscher, S. M. Verbrugh, J. Lindeman, P. Hadley, J. E. Mooij, and W. van der Vleuten, Appl. Phys. Lett. 68, 2014 (1996); J. Pettersson, P. Wahlgren, P. Delsing, N. Rorsman, D. B. Haviland, H. Zirath, and T. Claeson, Phys. Rev. B, 53, R13272 (1996).
R. J. Schoelkopf, P. Wahlgren, A. A. Kozhevnokov, P. Delsing, and D. E. Prober, Science 280, 1238 (1998).
A. B. Zorin, Phys. Rev. Lett. 76, 4408 (1996).
A. B. Zorin, IEEE Trans. Instrum. Means. 46, 299 (1997).
A. B. Zorin, Yu. A. Pashkin, V. A. Krupenin, and H. Scherer, in 6th Int. Superconductive Electronics Conf., 25–28 June 1997, Berlin, Germany, H. Koch and S. Knappe, eds., 2, 394.
A. B. Zorin, L. S. Kuzmin, and K. K. Likharev, Physica B 165, 166, 933 (1990).
D. V. Averin and Yu. V. Nazarov, Phys. Rev. Lett. 69, 1993 (1992); M. T. Tuominen, J. M. Hergenrother, T. S. Tighe, and M. Tinkham, Phys. Rev. Lett. 69, 1997 (1992).
P. Joyez, Ph.D. thesis, University of Paris 6 (1995).
K. K. Likharev and A. B. Zorin, J. Low Temp. Phys. 59, 347 (1985).
This condition becomes more severe in the limit E J/E C < 1, because the forbidden energy gap (∼E J) shrinks and the probability of transitions into upper bands rises steeply; for details, see A. D. Zaikin and D. S. Golubev, Phys. Lett. A 164, 337 (1992).
D. B. Haviland, Yu. A. Pashkin, and L. S. Kuzmin, Physica B 203, 347 (1994).
A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
H. B. Callen and T. A. Welton, Phys. Rev. 83, 34 (1951).
V. Ambegaokar and B. I. Halperin, Phys. Rev. Lett. 22, 1364 (1969); A. N. Vystavkin, V. N. Gubankov, L. S. Kuzmin, K. K. Likharev, V. V. Migulin, and V. K. Semenov, Rev. Phys. Appl. 9, 79 (1974).
K. K. Likharev and V. K. Semenov, JETP Lett. 15, 442 (1972).
R. H. Koch, D. J. Van Harlingen, and J. Clarke, Phys. Rev. Lett. 45, 2132 (1980).
P. Joyez, P. Lafarge, A. Filipe, D. Esteve, and M. H. Devoret, Phys. Rev. Lett. 72, 2458 (1994).
T. M. Eiles and J. M. Martinis, Phys. Rev. B 50, 627 (1994).
D. Vion, M. Götz, P. Joyez, D. Esteve, and M. H. Devoret, Phys. Rev. Lett. 77, 3435 (1996); see also V. Bouchiat, Ph.D. thesis, University of Paris 6, 1997.
K. K. Likharev, Physics Department, Moscow State University, Moscow, Preprint 29, 1986; see also K. A. Matveev, M. Gisselfät, L. I. Glazman, M. Jonson, and R. I. Shekhter, Phys. Rev. Lett. 70, 2940 (1993).
D. V. Averin and K. K. Likharev, in Mesoscopic Phenomena in Solids, B. L. Altshuler, P. A. Lee, and R. A. Webb, eds. (Elsevier, Amsterdam, 1991).
K. K. Likharev, Dynamics of Josephson Junctions and Circuits (Gordon & Breach, New York, 1986).
Note that a self-inductance of the on-chip shunt can be easily made much smaller than the characteristic Josephson inductance = Φ0/2π Ic, so that the former plays no role in the dynamics of φ.
P. Walgren, P. Delsing, and D. B. Haviland, Phys. Rev. B 52, R2293 (1995).
M. L. Roukes, M. R. Freeman, R. S. Germain, R. C. Richardson, and M. B. Ketchen, Phys. Rev. Lett. 55, 422 (1985).
A. Amar, D. Song, C. J. Lobb, and F. C. Wellstood, IEEE Trans. Appl. Supercond. 7, 3544 (1997).
This effect is most pronounced at E J/E C∑ < 1, as can be seen in Fig. 2 of [21].
R. L. Kautz, G. Zimmerli, and J. M. Martinis, J. Appl. Phys. 73, 2386 (1993).
L. S. Kuzmin, Yu. A. Pashkin, A. B. Zorin, and T. Claeson, Physica B 203, 376 (1994).
F. C. Wellstood, C. Urbina, and J. Clarke, Phys. Rev. B 49, 5942 (1994).
A. H. Steinbach, J. M. Martinis, and M. H. Devoret, Phys. Rev. Lett. 76, 3806 (1996).
R. J. Schoelkopf, P. J. Burke, A. A. Kozhevnokov, D. E. Prober, and M. J. Rooks, Phys. Rev. Lett. 78, 3370 (1997).
A. B. Zorin, F.-J. Ahlers, J. Niemeyer, T. Weimann, H. Wolf, V. A. Krupenin, and S. V. Lotkhov, Phys. Rev. B 53, 13,682 (1996).
V. Bouchiat, G. Chardin, M. H. Devoret, and D. Esteve, Hyperfine Interactions (J. C. Balzer AG, Science Publishers 109, 345 (1997).
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Zorin, A.B., Lotkhov, S.V., Pashkin, Y.A. et al. Highly Sensitive Electrometers Based on Single Cooper Pair Tunneling. Journal of Superconductivity 12, 747–755 (1999). https://doi.org/10.1023/A:1007780925567
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DOI: https://doi.org/10.1023/A:1007780925567