Size dependence of current-voltage properties in Coulomb blockade networks

Takayuki Narumi, Masaru Suzuki, Yoshiki Hidaka, Shoichi Kai

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9 Citations (Scopus)


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 δ (namely, the lateral size N y over the longitudinal one Nx). We show that the average CB threshold obeys a power-law decay as a function of δ. Its exponent γ corresponds to a sensitivity of the threshold depending on δ, and is inversely proportional to Nx (i.e., δ at fixed N y). Further, the power-law exponent ζ, characterizing the nonlinearity of the I-V property in the intermediate region, logarithmically increases as δ increases. Our simulations describe the experimental result ζ = 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 δ. 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.

Original languageEnglish
Article number114704
Journaljournal of the physical society of japan
Issue number11
Publication statusPublished - Nov 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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