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Bloch Inductance in Small-Capacitance Josephson Junctions

A. B. Zorin

DOI 10.1103/PhysRevLett.96.167001 · Physical Review Letters

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Abstract

We show that the electrical impedance of a small-capacitance Josephson junction also includes, in addition to the capacitive term −i/ωCB, an inductive term iωLB. Similar to the known Bloch capacitance CB(q), the Bloch inductance LB(q) also depends periodically on the quasicharge, q, and its maximum value achieved at q=e(mod 2e) always exceeds the value of the Josephson inductance of this junction LJ(φ) at fixed φ=0. The effect of the Bloch inductance on the dynamics of a single junction and a one-dimensional array is described.

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