Bloch inductance in small-capacitance Josephson junctions

Abstract

We show that the electrical impedance of a small-capacitance Josephson junction includes besides the capacitive term -i/ω CB also an inductive term iω LB. 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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