Size Dependence of Current-Voltage Properties in Coulomb Blockade Networks
arXiv:1109.0340 · doi:10.1143/JPSJ.80.114704
Abstract
We theoretically investigate the current-voltage (I-V) property of two-dimensional Coulomb blockade (CB) arrays by conducting Monte Carlo simulations. The I-V property can be divided into three regions and we report the dependence of the aspect ratio delta (namely, the lateral size N_{y} over the longitudinal one N_{x}). We show that the average CB threshold obeys a power-law decay as a function of delta. Its exponent gamma corresponds to a sensitivity of the threshold depending on delta, and is inversely proportional to N_{x} (i.e., delta at fixed N_{y}). Further, the power-law exponent zeta, characterizing the nonlinearity of the I-V property in the intermediate region, logarithmically increases as delta increases. Our simulations describe the experimental result zeta=2.25 obtained by Parthasarathy et al. [Phys. Rev. Lett. 87 (2001) 186807]. In addition, the asymptotic I-V property of one-dimensional arrays obtained by Bascones et al. [Phys. Rev. B. 77 (2008) 245422] is applied to two-dimensional arrays. The asymptotic equation converges to the Ohm's law at the large voltage limit, and the combined tunneling-resistance is inversely proportional to delta. The extended asymptotic equation with the first-order perturbation well describes the experimental result obtained by Kurdak et al. [Phys. Rev. B 57 (1998) R6842]. Based on our asymptotic equation, we can estimate physical values that it is hard to obtain experimentally.
21 pages, 10 figures, accepted for publication in Journal of the Physical Society of Japan
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