Percolation concepts in solid state ionics

Dieterich, W.; Dürr, Oliver; Pendzig, P.; Bunde, Armin; Nitzan, Abraham

doi:10.1016/s0378-4371(98)00597-4

Cited by 38 publications

(17 citation statements)

References 41 publications

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“…Beside reproducing the observed FSDP-ion transport property relationship, the model predicts that the activation energy for ion transport initially decreases by doping salt, reaches a minimum at certain concentration, and increases by further doping, whereas in this course the FSDP wave number decreases monotonically [45]. It is gratifying to note that the evolution of the ionic conductivity predicted by the model has also been obtained by using percolation concepts in the analysis of composition dependence of diffusion in ion conducting glasses [47].…”

Section: Role Of the Medium Range Order Of Glasses In The Ion Transportmentioning

confidence: 52%

Bond Fluctuation Model of Superionic Conductors: Concepts and Applications

Aniya

2010

Integrated Ferroelectrics

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The bond fluctuation model of superionic conductors provides a framework to understand the characteristic properties of superionic materials. According to the model, the superionic behavior is related to a change of bonding that occurs locally and fluctuates in time. In the present report, after presenting the concept of the model and summarizing the main results obtained till now, some recent applications of the model is reviewed. Topics such as new interpretation of the power law exponent of ac conductivity observed in superionic glasses, model for the anomalous electronic properties observed in liquid silver chalcogenides, and prediction of nonlinear optical constants of ionic conducting glasses are covered.

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Section: Role Of the Medium Range Order Of Glasses In The Ion Transportmentioning

confidence: 52%

Bond Fluctuation Model of Superionic Conductors: Concepts and Applications

Aniya

2010

Integrated Ferroelectrics

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“…Beside reproducing the observed FSDP -ion transport property relationship, the model predicts that the activation energy for ion transport initially decreases by doping salt, reaches a minimum at certain concentration, and increases by further doping, whereas in this course the FSDP wave number decreases monotonically [8]. It is gratifying to note that the evolution of the ionic conductivity predicted by the model has also been obtained by using percolation concepts in the analysis of composition dependence of diffusion in ion conducting glasses [35].…”

Section: Medium Range Structure and Ionic Conductivitymentioning

confidence: 52%

Medium range structure and power law conductivity dispersion in superionic glasses

Aniya

2008

Journal of Non-Crystalline Solids

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“…The disorder affects the electronic densities of states leading to effectively concentration and field dependent mobilities/diffusion coefficients, 24,25 and the randomly obstructed nature of the bulk material makes the ion transport effectively a percolation problem rather than simple drift-diffusion. 26,27 While one can to some extent include these effects in the model, that is not only beyond the scope of this work, but it is also a subject which we believe is more appropriately addressed after the basic drift-diffusion model is more fully understood.…”

Section: -19mentioning

confidence: 99%

Charge injection and transport in low-mobility mixed ionic/electronic conducting systems: Regimes of behavior and limiting cases

Mills

Lonergan

2012

Phys. Rev. B

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A comprehensive analysis of a model describing charge carrier injection and transport in lightemitting electrochemical cells (LECs) and related mixed ionic electronic conductors (MIECs) is given. Ions are treated using a modified drift-diffusion transport equation that accounts for volume exclusion effects, and electronic injection is treated using a spatially dependent tunneling mechanism that explicitly accounts for both forward and backward fluxes. Systems containing both one and two mobile ionic species are treated and compared. The unique physics of LECs stem from ionic polarization processes that can lead to field screening and narrowed injection barriers, producing increased electrode exchange currents via tunneling. The latter process promotes the establishment of electronic quasi-equilibrium throughout the double-layer regions and hence promotes bulk-limited conduction. Explicit expressions are given describing the conditions necessary to assume field screening and bulk-limited conduction, which determine the applicability of either traditional semiconductor device models such as Fowler-Nordheim or electrochemical models such as the Nernst equation. Having established these conditions, several distinct regimes of bulk-limited LEC behavior are described. Explicit formulae for the biases delineating these regimes are given as well as formulae for the current in each regime. At low biases, the current generally increases exponentially with bias; the bulk remains field-free, and the transport is predominantly unipolar and diffusive. At high biases the current rises much less rapidly, and bulk transport is bipolar, occurring through a combination of drift and diffusion. The nature of the bulk region in the high-bias regime is markedly different in systems with one and two mobile ionic species. At intermediate biases, space charge effects preferentially drive injection of the minority carrier causing a transition from unipolar to bipolar injection. It is demonstrated that many of the models proposed to describe LECs exist upon a common continuum, and that the major factor separating them is simply the magnitude of the applied bias. This work allows one to estimate at what biases an idealized LEC with particular equilibrium concentrations of ionic and electronic carriers will transition from one mechanism to another. It also aids in conceptually mapping mechanisms and internal details of the system onto each regime of behavior.

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Percolation concepts in solid state ionics

Cited by 38 publications

References 41 publications

Bond Fluctuation Model of Superionic Conductors: Concepts and Applications

Bond Fluctuation Model of Superionic Conductors: Concepts and Applications

Medium range structure and power law conductivity dispersion in superionic glasses

Charge injection and transport in low-mobility mixed ionic/electronic conducting systems: Regimes of behavior and limiting cases

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