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Insulating phase in two-dimensional Josephson junction arrays investigated by nonlinear transport

Hiroki Ikegami, Yasunobu Nakamura

DOI 10.1103/PhysRevB.106.184511 · Physical Review B

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Abstract

We present experimental investigations of transport properties in the insulating phase of two-dimensional Josephson-junction arrays (JJAs) by systematically changing the ratio of Josephson energy EJ and charging energy EC. The observed temperature dependence of resistance indicates that the JJAs do not show a sharp phase transition but exhibit a gradual crossover to the insulating phase. At low temperatures, the current-voltage (I−V) characteristics become nonlinear as described by I=cV+bVa (a, b, and c are temperature-dependent coefficients). This nonlinear behavior is understood in terms of the Berezinskii-Kosterlitz-Thouless mechanism by taking into account the influence of a finite-range cutoff of the logarithmic interaction between Cooper pairs. From the analysis of the nonlinearity, we deduce the crossover temperature to the insulating phase and determine the phase diagram in the insulating side as a function of EJ/EC. We also show that, at very low temperatures, the I−V characteristics continuously develop into the negative differential conductance caused by coherent single-Cooper-pair tunneling.

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FormulaReported Tc (K)Pressure (GPa)Type
Al

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—Pressure not reportedunknown

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