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Single-electron and Cooper-pair tunneling in ultrasmall Josephson junctions. Coulomb and environmental effects

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We study the I-V curve of a small capacitance Josephson tunnel junction with a zero subgap conductance. In the limit of large external impedance and at low temperature, single electron tunneling across the junction is suppressed for eV < 2δ + Ec due to a combination of superconducting and Coulomb gaps and the process of Cooper pair tunneling (CPT) plays the main role. For E c ≳, 2δ Coulomb interaction between electrons of a tunneling Cooper pair strongly modifies the effective Josephson coupling energy and the CPT current can substantially deviate from its standard value. Very close to the point eV ∼- 2δ the effective tunneling time of a Cooper pair becomes very large and the CPT process is not adiabatic.

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  1. I. E. Tamm Department of Theoretical Physics, P. N. Lebedev Physics Institute, Moscow, Russia

    A. D. Zaikin

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Zaikin, A.D. Single-electron and Cooper-pair tunneling in ultrasmall Josephson junctions. Coulomb and environmental effects. J Low Temp Phys 88, 373–393 (1992). https://doi.org/10.1007/BF00126601

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