Tunneling of Cooper pairs across voltage-biased asymmetric single-Cooper-pair transistors

J. Leppäkangas, E. Thuneberg, R. Lindell, P. Hakonen

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We analyze tunneling of Cooper pairs across voltage biased asymmetric single-Cooper-pair transistors. Also tunneling of Cooper pairs across two capacitively coupled Cooper-pair boxes is considered, when the capacitive coupling and Cooper pair tunneling are provided by a small Josephson junction between the islands. The theoretical analysis is done at subgap voltages, where the current-voltage characteristics depend strongly on the macroscopic eigenstates of the island(s) and their coupling to the dissipative environment. As the environment we use an impedance which satisfies Re[Z(ω)]⪡RQ and a few LC oscillators in series with Z(ω). The numerically calculated I−V curves are compared with experiments where the quantum states of mesoscopic SQUIDs are probed with inelastic Cooper pair tunneling. The main features of the observed I−V data are reproduced. Especially, we find traces of band structure in the higher excited states of the Cooper-pair boxes as well as traces of multiphoton processes between two Cooper-pair boxes in the regime of large Josephson coupling EJ⪢EC.
Original languageEnglish
Article number054504
Pages (from-to)1-9
Number of pages9
JournalPhysical Review B
Issue number5
Publication statusPublished - 2006
MoE publication typeA1 Journal article-refereed


  • Cooper pair tunneling

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