Non-equilibrium cotunneling in interacting Josephson junctions
arxiv(2024)
Abstract
We investigate non-equilibrium transport through interacting superconducting
nanojunctions using a Liouville space approach. The formalism allows us to
study finite gap effects, and to account for both quasiparticle and Cooper pair
tunneling. With focus on the weak tunneling limit, we study the stationary dc
and ac current up to second order (cotunneling) in the hybridization energy. We
identify the characteristic virtual processes that yield the Andreev and
Josephson current and obtain the dependence on the gate and bias voltage for
the dc current, the critical current and the phase-dependent dissipative
current. In particular, the critical current is characterized by regions in the
stability diagram in which its sign changes from positive to negative,
resulting in a multitude of 0-πtransitions. The latter signal the interplay
between strong interactions and tunneling at finite bias.
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