Conductivity Percolation on a Square Lattice with Core-Shell Particles

Shida, Kazuhito; Sahara, Ryoji; Tripathi, MN; Mizuseki, Hiroshi

doi:10.2320/matertrans.m2009329

Cited by 7 publications

(8 citation statements)

References 19 publications

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“…In our previous works, 14,15) the number of enlarged particles is decided in such a way that 50% of the conductor sites are located in the enlarged particles. Here, this restriction is removed, and allowing us to calculate 9 different settings regarding the fractions of large conductor particles (see Fig.…”

Section: Methodsmentioning

confidence: 99%

“…In particular, we have been investigating 14,15) the effects of the most basic type of correlations realizable simply by using particles with differentiated sizes on the percolation behavior of the system. Although this type of correlation seems to be quite useful for increasing connectedness among particles, it is important to investigate the effects of particle size differentiations in combination with other factors that can affect percolation characteristics such as the type of lattice used in the simulation.…”

Section: Introductionmentioning

confidence: 99%

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Controlling the Percolation Threshold of Conductor-Insulator Composites in a 2D Triangular Lattice by Introducing Binary Size Distributions of Conductor Particles

2012

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When one attempts to modulate and control the characteristics of composite materials, the mathematical threshold of the percolation transition dictates the modulation limit. Using a series of computer simulations, we have been investigating the dependence of the percolation threshold on particle size distributions. However, one of the other factors that can deeply affect percolation behavior, the design of lattice, is always fixed to simple square or cubic lattices. This report presents the first calculation of a percolation threshold in a 2D triangular lattice with binary size distributions of conductor particles. Although a small quantitative difference was found, the results qualitatively matched to the results already reported for 2D square lattices, thus confirming our previous finding: the introduction of large conductor particles increases the percolation threshold in 2D.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Controlling the Percolation Threshold of Conductor-Insulator Composites in a 2D Triangular Lattice by Introducing Binary Size Distributions of Conductor Particles

2012

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“…A simple linear resistive model cannot illustrate this exponential decay of current. One of the most reasonable understandings would be the percolation model, − where the conducting channels are sustained by the polymerization of C 60. According to conventional percolation theory, it is common knowledge that the conductivity of percolating networks exhibits universally exponential decaying behavior when the system size is close to the critical point of percolation .…”

Section: Methodsmentioning

confidence: 99%

Fullerene Nanostructure-Coated Channels Activated by Electron Beam Lithography for Resistance Switching

Takeuchi

Umeta

Suga

et al. 2022

ACS Appl. Nano Mater.

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Fullerenes, which are spherical molecules composed entirely of carbon, have attractive homogeneous shapes at subnanometer sizes and inherent physical and chemical properties that make them promising for use in nanoelectronics. In addition, fullerenes can be chemically functionalized with substitutional elements, which have been incorporated into devices to substantially improve their transport properties. The chemically functionalized fullerenes are known as fullerene derivatives. Using the chemically functionalized fullerene pyrrolidine tris-acid (CPTA), we developed a new device fabrication scheme for a fullerene resistance-switching element generated by the polymerization and depolymerization of C 60 polymer strings. To take advantage of the CPTA property, whereby it forms strong interactions with the surface of a substrate by strengthening the chemical bonds, a uniform thin CPTA film was spin-coated, and conductive fullerene polymerization was subsequently stimulated by a designed scan with an electron beam lithography (EBL) preset. The polymerized channel showed negative differential resistance in its current−voltage characteristics and performed twostate resistance switching, indicating that the polymerization and depolymerization of the C 60 polymer strings were alternatively controlled according to the external voltage input. EBL fabrication with solution-based nanomaterial coating has the potential of a bottom-up scheme for nanoelectronics, allowing for the design of intrinsic material properties.

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“…However, a number of quantitative differences, such as an increase in the effective conductivity per site, was realized by the introduction of 2D core-shell particles. 8) In this paper, we further extended our previous work to deal with particles having a 3D core-shell structure. Such a 3D percolation model investigated in this report, where a systematic optimization of the ''width'' is considered, is highly relevant to the particle-based film production introduced above.…”

Section: Introductionmentioning

confidence: 94%

Conductivity Percolation on a Cubic Lattice with Core-Shell Particles

et al. 2011

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Particles made by coating an insulating core with a thin layer (shell) of conducting materials, called core-shell particles, were recently proposed to realize materials with particular nano-scale structures. Such structures work as a ''porous medium'' of electric current, and their modified characteristics may be useful to improve some materials, such as transparent conducting films. We have already reported 2D simulation of such a conducting film with core-shell particles.In this report, the basic feasibility of this idea is tested within the framework of the percolation model and the random register network model. The observed critical behavior and critical exponents of conductivity are also discussed, for the first time for 3D situations with core-shell particles.

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Conductivity Percolation on a Square Lattice with Core-Shell Particles

Cited by 7 publications

References 19 publications

Controlling the Percolation Threshold of Conductor-Insulator Composites in a 2D Triangular Lattice by Introducing Binary Size Distributions of Conductor Particles

Controlling the Percolation Threshold of Conductor-Insulator Composites in a 2D Triangular Lattice by Introducing Binary Size Distributions of Conductor Particles

Fullerene Nanostructure-Coated Channels Activated by Electron Beam Lithography for Resistance Switching

Conductivity Percolation on a Cubic Lattice with Core-Shell Particles

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