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 $-i/\omega C_B$ also an inductive term $i\omega L_B$. Similar to the known Bloch capacitance $C_B(q)$, the Bloch inductance $L_B(q)$ also depends periodically on the quasicharge $q$, and its maximum value achieved at $q=e(\text{mod}2e)$ always exceeds the value of the Josephson inductance of this junction $L_J(\varphi )$ at fixed $\varphi =0$. The effect of the Bloch inductance on the dynamics of a single junction and a one-dimensional array is described.

5 pages incl. 3 figs

References in corpus (2)

• Observation of quantum capacitance in the Cooper-pair transistor
• Quantum capacitive phase detector

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• Theory of small charge solitons in one-dimensional arrays of Josephson junctions