Charge glass in two-dimensional arrays of capacitively coupled grains with random offset charges

Physics – Condensed Matter – Disordered Systems and Neural Networks

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4 pages, 1 figure, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.81.3888

We study the effect of random offset charges in the insulator to conductor transition in systems of capacitively coupled grains, as realized in two-dimensional arrays of ultrasmall Josephson junctions. In presence of disorder, the conductive transition and charge ordering at nonzero gate voltages are both destroyed for any degree of disorder $\sigma$ at finite temperatures $T$, in the thermodynamic limit, but crossover effects will dominate at length scales smaller than $\xi_{\sigma, T}=T^{-\nu} f(\sigma T^{-\nu})$, where $\nu $ is the thermal critical exponent of the zero-temperature charge glass transition. The conductance is linear and thermally activated but nonlinear behavior sets in at a crossover voltage which decreases as temperature decreases. For large disorder, the results are supported by Monte Carlo dynamics simulations of a Coulomb gas with offset charges and are consistent with the thermally activated behavior found in recent experiments.

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