Abstract
Resonant Cooper-pair tunneling, also known as Josephson quasiparticle tunneling, refers to transport cycles in superconducting single-electron transistors (SSET’s) which involve the transfer of both Cooper pairs and quasiparticles [1, 2, 3]. They have recently been the subject of renewed attention, both because of their unusual noise properties [4, 5, 6] and because of their utility in measuring the state of a charge superconducting qubit [7, 8]. In terms of noise properties, it has been shown that charge fluctuations associated with these processes can induce a population inversion in a coupled two-level system (i.e in terms of its charge noise, the transistor effectively has a negative temperature) [5, 6]. The shot-noise in the current through the transistor was also found to have remarkable properties [4, 5]. By tuning the strength of the Cooper pair tunneling relative to the quasiparticle tunneling, one could effectively tune the Fano factor determining the zero-frequency shot noise. It was possible to achieve a Fano factor greater than one, which was interpreted as a consequence of the effective charge associated with the transport cycle being greater than one. Perhaps more surprisingly, it was possible to reduce the Fano factor below 1/2, behaviour that was not fully explained. The finite frequency current noise also showed interesting behaviour [4]- in the regime where the Cooper-pair tunneling dominated the quasiparticle tunneling, a coherent peak in the current noise was predicted at the Josephson energy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
T. A. Fulton et al., Phys. Rev. Lett. 63, 1307 (1989)
D. V. Averin and V. Ya. Aleshkin, JETP Lett. 50, 367 (1989); ibid., Physica B 165 & 166, 949 (1990).
A. Maasen van den Brink et al, 85, 459 (1991).
M-S. Choi, F. Plastina and R. Fazio, Phys. Rev. Lett. 87, 116601–1 (2001); ibid., cond-mat/0208165.
A. A. Clerk, S. M. Girvin, A. K. Nguyen and A. D. Stone, Phys. Rev. Lett. 89, 176804 (2002).
G. Johansson, cond-mat/0210539.
Y. Nakamura, Y. A. Pashkin, and J. S. Tsai, Nature 398, 786 (1999).
K.W. Lehnert, K. Bladh, L.F. Spietz, D. Gunnarson, D.I. Schuster, P. Delsing, and R.J. Schoelkopf, to appear in Phys. Rev. Lett., 2003.
L. S. Levitov, H. W. Lee and G. B. Lesovik, J. Math. Phys., 37, 4845 (1996).
Yu. V. Nazarov and M. Kinderman, cond-mat/0107133
L. S. Levitov and M. Reznikov, cond-mat/0111057
W. Belzig and Yu. V. Nazarov, Phys. Rev. Lett. 87, 067006 (2001).
A. Shelankov and J. Rammer, cond-mat/0207343
A. N. Korotkov, Phys. Rev. B 49, 10381 (1994).
Y. Makhlin et al., Phys. Rev. Lett. 85, 4578 (2000); ibid., Rev. Mod. Phys. 73, 357 (2001).
see, e.g., M. Tinkham, Introduction to Superconductivity, (McGraw-Hill, New York, 1996).
D. K. C. MacDonald, Rep. Prog. Phys. 12, 56 (1948)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Clerk, A.A. (2003). Resonant Cooper-Pair Tunneling: Counting Statistics and Frequency-Dependent Current Noise. In: Fazio, R., Gantmakher, V.F., Imry, Y. (eds) New Directions in Mesoscopic Physics (Towards Nanoscience). NATO Science Series, vol 125. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1021-4_17
Download citation
DOI: https://doi.org/10.1007/978-94-007-1021-4_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1665-3
Online ISBN: 978-94-007-1021-4
eBook Packages: Springer Book Archive