We show that the electrical impedance of a small-capacitance Josephson junction includes besides the capacitive term −i/ωCB also 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(mod2e) 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.
Cite
@article{arxiv.cond-mat/0510435,
title = {Bloch inductance in small-capacitance Josephson junctions},
author = {A. B. Zorin},
journal= {arXiv preprint arXiv:cond-mat/0510435},
year = {2007}
}