Insulating Phase in Two-dimensional Josephson-Junction Arrays
Investigated by Nonlinear Transport
- URL: http://arxiv.org/abs/2211.12435v1
- Date: Mon, 14 Nov 2022 09:10:40 GMT
- Title: Insulating Phase in Two-dimensional Josephson-Junction Arrays
Investigated by Nonlinear Transport
- Authors: Hiroki Ikegami and Yasunobu Nakamura
- Abstract summary: We present experimental investigations of transport properties in the insulating phase of two-dimensional Josephson-junction arrays (JJAs)
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.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $E_\mathrm{J}$ and
charging energy $E_\mathrm{C}$. 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
$I=cV+bV^a$ ($a$, $b$, and $c$ are temperature dependent coefficients). This
nonlinear behavior is understood in terms of the
Berezinskii-Kosterlitz-Thouless (BKT) 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 $E_\mathrm{J} /E_\mathrm{C}$. 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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