Fig. 1: Circuit 1, and a respective voltage-current relation.
From: Quantum theory of Bloch oscillations in a resistively shunted transmon
a In circuit 1, a transmon is shunted by resistor R and biased by current I. b If R exceeds the resistance quantum RQ, then the transmon (EJ ≫ EC) acts as an insulator. The insulating behavior is confined to a narrow domain of the VI-relation, I ≲ I⋆ [see Eqs. (7) and (18)]. For higher currents, V(I) is similar to that of a conventional superconducting junction. c Sketch of the low-current part of V(I) [we use Eqs. (16) and (26) with K = 1/8 to produce the plot]. d The Coulomb blockade results in a sharp increase of V with the current through the junction IJ, see Eq. (25) and the discussion following it.
