The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds
Abstract
Charge transport in the Coulomb blockade regime of two-dimensional nanoparticle arrays exhibits nonlinear I-V characteristics, where the level of nonlinearity strongly associates with the arrays architecture. Here, we use different mathematical techniques to investigate the collective behavior of the charge transport and quantify its relationship to the structure of the nanoparticle assembly. First, we simulate single-electron tunneling conduction in a class of nanoparticle networks with a controlled variation of the structural characteristics (branching, extended linear segments) which influence the local communication among the conducting paths between the electrodes. Further, by applying an innovative approach based on the algebraic topology of graphs, we analyze the structure of connections in the manifolds, which map the fractal time series of charge fluctuations in the phase space. By tracking the I-V curves in different nanoparticle networks together with the indicators of colle...ctive dynamics and the topology of the phase space manifolds, we show that the increased I-V nonlinearity is fully consistent with the enhanced aggregate fluctuations and higher connection complexity among the participating states. Also, by determining shifts in the topology and cooperative 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.
Keywords:
Complex Systems / Nanoparticle Assemblies / Single-Electron Tunneling / Collective Charge Fluctuations / Nanonetworks / Numerical Methods / Fractal Analysis / Algebraic TopologySource:
Journal of Coupled Systems and Multiscale Dynamics, 2016, 4, 1, 30-42Funding / projects:
- Advanced analytical, numerical and analysis methods of applied fluid mechanics and complex systems (RS-MESTD-Basic Research (BR or ON)-174014)
- Fundamental processes and applications of particle transport in non-equilibrium plasmas, traps and nanostructures (RS-MESTD-Basic Research (BR or ON)-171037)
- Application of low temperature plasmas in biomedicine, environmental protection and nanotechnologies (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41011)
- research agency of the Republic of Slovenia [P1-0044]
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Institution/Community
VinčaTY - JOUR AU - Tadić, Bosiljka AU - Anđelković, Miroslav AU - Šuvakov, Milovan PY - 2016 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1243 AB - Charge transport in the Coulomb blockade regime of two-dimensional nanoparticle arrays exhibits nonlinear I-V characteristics, where the level of nonlinearity strongly associates with the arrays architecture. Here, we use different mathematical techniques to investigate the collective behavior of the charge transport and quantify its relationship to the structure of the nanoparticle assembly. First, we simulate single-electron tunneling conduction in a class of nanoparticle networks with a controlled variation of the structural characteristics (branching, extended linear segments) which influence the local communication among the conducting paths between the electrodes. Further, by applying an innovative approach based on the algebraic topology of graphs, we analyze the structure of connections in the manifolds, which map the fractal time series of charge fluctuations in the phase space. By tracking the I-V curves in different nanoparticle networks together with the indicators of collective dynamics and the topology of the phase space manifolds, we show that the increased I-V nonlinearity is fully consistent with the enhanced aggregate fluctuations and higher connection complexity among the participating states. Also, by determining shifts in the topology and cooperative 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. T2 - Journal of Coupled Systems and Multiscale Dynamics T1 - The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds VL - 4 IS - 1 SP - 30 EP - 42 DO - 10.1166/jcsmd.2016.1094 ER -
@article{ author = "Tadić, Bosiljka and Anđelković, Miroslav and Šuvakov, Milovan", year = "2016", abstract = "Charge transport in the Coulomb blockade regime of two-dimensional nanoparticle arrays exhibits nonlinear I-V characteristics, where the level of nonlinearity strongly associates with the arrays architecture. Here, we use different mathematical techniques to investigate the collective behavior of the charge transport and quantify its relationship to the structure of the nanoparticle assembly. First, we simulate single-electron tunneling conduction in a class of nanoparticle networks with a controlled variation of the structural characteristics (branching, extended linear segments) which influence the local communication among the conducting paths between the electrodes. Further, by applying an innovative approach based on the algebraic topology of graphs, we analyze the structure of connections in the manifolds, which map the fractal time series of charge fluctuations in the phase space. By tracking the I-V curves in different nanoparticle networks together with the indicators of collective dynamics and the topology of the phase space manifolds, we show that the increased I-V nonlinearity is fully consistent with the enhanced aggregate fluctuations and higher connection complexity among the participating states. Also, by determining shifts in the topology and cooperative 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.", journal = "Journal of Coupled Systems and Multiscale Dynamics", title = "The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds", volume = "4", number = "1", pages = "30-42", doi = "10.1166/jcsmd.2016.1094" }
Tadić, B., Anđelković, M.,& Šuvakov, M.. (2016). The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds. in Journal of Coupled Systems and Multiscale Dynamics, 4(1), 30-42. https://doi.org/10.1166/jcsmd.2016.1094
Tadić B, Anđelković M, Šuvakov M. The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds. in Journal of Coupled Systems and Multiscale Dynamics. 2016;4(1):30-42. doi:10.1166/jcsmd.2016.1094 .
Tadić, Bosiljka, Anđelković, Miroslav, Šuvakov, Milovan, "The influence of architecture of nanoparticle networks on collective charge transport revealed by the fractal time series and topology of phase space manifolds" in Journal of Coupled Systems and Multiscale Dynamics, 4, no. 1 (2016):30-42, https://doi.org/10.1166/jcsmd.2016.1094 . .