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We report on some unusual behavior of the measured current-voltagecharacteristics (CVC) in artificially prepared two-dimensional unshunted arrayof overdamped Nb-AlO_x-Nb Josephson junctions. The obtained nonlinear CVC arefound to exhibit a pronounced (and practically temperature independent)crossover at some current I_{cr}=\left(\frac{1}{2\beta_C}-1\right)I_C from aresistance R dominated state with V_R=R\sqrt{I^2-I_C^2} below I_{cr} to acapacitance C dominated state with V_C=\sqrt{\frac{\hbar}{4eC}} \sqrt{I-I_C}above I_{cr}. The origin of the observed behavior is discussed within asingle-plaquette approximation assuming the conventional RSJ model with afinite capacitance and the Ambegaokar-Baratoff relation for the criticalcurrent of the single junction.

Universal R-C crossover in current-voltage characteristics for unshunted array of overdamped Nb-AlO_x-Nb Josephson junctions