Simulation of the Electron Tunneling Paths in Networks of Nano-particle Films

Šuvakov, Milovan; Tadić, Bosiljka

doi:10.1007/978-3-540-72586-2_93

Cited by 6 publications

(10 citation statements)

References 19 publications

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“…Moreover, it was observed that in the same structure the exponent ζ changes with variations of the distance between the electrodes and their size [10,34]. Our simulations of SET in different nanoparticle assemblies [7,9,30] confirm these experimental findings. Fig.…”

Section: Theoretical Background and I(v ) Nonlinearity Of Different Asupporting

confidence: 82%

“…In the numerical implementation of the SET processes [7,30], the quantity V c defined by (8) is computed recursively…”

Section: Theoretical Background and I(v ) Nonlinearity Of Different Amentioning

confidence: 99%

“…In this regard, the idea of nanonetworks [4] provides the framework to quantify the structure of topologically disordered nanoparticle assemblies by graph theory methods [29]. Furthermore, the numerical implementation of SET on an array of the arbitrary structure represented as a nanonetwork has been introduced [7,30].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds

Tadić¹,

Andjelković²,

Šuvakov³

2016

j coupled syst multiscale dyn

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Charge transport within Coulomb blockade regime in two-dimensional nanoparticle arrays exhibits nonlinear I-V characteristics, where the level of nonlinearity strongly associates with the array's architecture. Here, we use different mathematical approaches to quantify collective behavior in the charge transport inside the sample and its relationship to the structural characteristics of the assembly and the presence of charge disorder. In particular, we simulate single-electron tunneling conduction in several assemblies with controlled variation of the structural components (branching, extended linear segments) that influence the local communication among the conducting paths between the electrodes. Furthermore, by applying the fractal analysis of time series of the number of tunnelings and the technique of algebraic topology, we unravel the temporal correlations and structure of the phase-space manifolds corresponding to the cooperative fluctuations of charge. By tracking the I-V curves in different assemblies together with the indicators of collective dynamics and topology of manifolds in the state space, we show that the increased I-V nonlinearity is fully consistent with the enhanced aggregate fluctuations and topological complexity of the participating states. The architecture that combines local branching and global topological disorder enables the creation of large drainage basins of nano-rivers leading to stronger cooperation effects. Also, by determining shifts in the topology and collective transport features, we explore the impact of the size of electrodes and local charge disorder. The results are relevant for designing the nanoparticle devices with improved conduction; they also highlight the significance of topological descriptions for a broader understanding of the nature of fluctuations at the nanoscale.

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Section: Theoretical Background and I(v ) Nonlinearity Of Different Asupporting

confidence: 82%

“…In the numerical implementation of the SET processes [7,30], the quantity V c defined by (8) is computed recursively…”

Section: Theoretical Background and I(v ) Nonlinearity Of Different Amentioning

confidence: 99%

See 1 more Smart Citation

The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds

Tadić¹,

Andjelković²,

Šuvakov³

2016

j coupled syst multiscale dyn

Self Cite

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“…A network, i.e., a mathematical graph consisting of nodes and links between nodes, is then constructed in the following way. The nodes are represented by nanoparticles on the substrate and links are inserted between pairs of nodes separated by distances smaller than a tunneling radius r . In this way the sparse filling of the plane by particles leads to an inhomogeneous network with varying node connectivity (see Figure ).…”

mentioning

confidence: 99%

Charge Transport in Cellular Nanoparticle Networks: Meandering through Nanoscale Mazes

et al. 2007

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The transport of electrons through topologically complex two-dimensional Au nanoparticle networks has been investigated using a combination of low temperature (4.5 K) direct current I(V) measurements and numerical simulations. Intricate, spatially correlated nanostructured networks were formed via spin-casting. The topological complexity of the nanoparticle assemblies produces I(V) curves associated with nonlinearity exponents, zeta approximately 4.0. Simulations based on tunneling transport in sparse and inhomogeneous planar networks are used to elucidate the influence of topology on the value of zeta.

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“…In addition, the difference between A and B particle types, which was important for the assembly, plays no role in the conduction (assuming the particles of the same size and chemical composition). In this way, a nano-network of tunneling junctions can be constructed whenever the positions of the nanoparticles on the substrate are known [26]. In our numerical models the tunneling radius is a free parameter.…”

Section: Single-electron Tunnelings In Nanoparticle Filmsmentioning

confidence: 99%

Collective Charge Fluctuations in Single-Electron Processes on Nano-Networks

Suvakov,

Tadic

2008

Preprint

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Using numerical modeling we study emergence of structure and structure-related nonlinear conduction properties in the self-assembled nanoparticle films. Particularly, we show how different nanoparticle networks emerge within assembly processes with molecular bio-recognition binding. We then simulate the charge transport under voltage bias via single-electron tunnelings through the junctions between nanoparticles on such type of networks. We show how the regular nanoparticle array and topologically inhomogeneous nanonetworks affect the charge transport. We find long-range correlations in the time series of charge fluctuation at individual nanoparticles and of flow along the junctions within the network. These correlations explain the occurrence of a large nonlinearity in the simulated and experimentally measured current-voltage characteristics and non-Gaussian fluctuations of the current at the electrode.

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Simulation of the Electron Tunneling Paths in Networks of Nano-particle Films

Cited by 6 publications

References 19 publications

The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds

The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds

Charge Transport in Cellular Nanoparticle Networks: Meandering through Nanoscale Mazes

Collective Charge Fluctuations in Single-Electron Processes on Nano-Networks

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