Transport of optical excitations on dendrimers in the continuum approximation

Vlaming, SM; Heijs, Dirk; Knoester, Jasper

doi:10.1016/j.jlumin.2004.10.015

Cited by 10 publications

(9 citation statements)

References 28 publications

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“…16,17 In solid state physics, a dendrimer of infinite generation is known as the Bethe lattice. The incoherent exciton transport in dendrimers can be efficiently modelled by random walks, see, for instance, 18,19,20 . Here, the underlying topology of the dendrimer determines the dynamics of the exciton motion and the transport is described by a master (rate) equation.…”

Section: Introductionmentioning

confidence: 99%

Coherent exciton transport in dendrimers and continuous-time quantum walks

Mülken

Bierbaum

Blumen

2006

The Journal of Chemical Physics

136

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We model coherent exciton transport in dendrimers by continuous-time quantum walks. For dendrimers up to the second generation the coherent transport shows perfect recurrences when the initial excitation starts at the central node. For larger dendrimers, the recurrence ceases to be perfect, a fact which resembles results for discrete quantum carpets. Moreover, depending on the initial excitation site, we find that the coherent transport to certain nodes of the dendrimer has a very low probability. When the initial excitation starts from the central node, the problem can be mapped onto a line which simplifies the computational effort. Furthermore, the long time average of the quantum mechanical transition probabilities between pairs of nodes shows characteristic patterns and allows us to classify the nodes into clusters with identical limiting probabilities. For the (space) average of the quantum mechanical probability to be still or to be again at the initial site, we obtain, based on the Cauchy-Schwarz inequality, a simple lower bound which depends only on the eigenvalue spectrum of the Hamiltonian.

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Section: Introductionmentioning

confidence: 99%

Coherent exciton transport in dendrimers and continuous-time quantum walks

Mülken

Bierbaum

Blumen

2006

The Journal of Chemical Physics

136

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“…Using essentially classical methods of representing energy flow as a series of stepwise processes, Knoester et al [77,78] and also Andrews et al [79][80][81] have explored the relationships between trapping times and the connectivity of dendrimers. Nonetheless, the formulation of each such step requires quantum methods.…”

Section: Theoretical Methods For Dynamical Analysismentioning

confidence: 99%

Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Bradshaw

Andrews

2011

Polymers

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Abstract:Since their earliest synthesis, much interest has arisen in the use of dendritic and structurally allied forms of polymer for light energy harvesting, especially as organic adjuncts for solar energy devices. With the facility to accommodate a proliferation of antenna chromophores, such materials can capture and channel light energy with a high degree of efficiency, each polymer unit potentially delivering the energy of one photon-or more, when optical nonlinearity is involved. To ensure the highest efficiency of operation, it is essential to understand the processes responsible for photon capture and channelling of the resulting electronic excitation. Highlighting the latest theoretical advances, this paper reviews the principal mechanisms, which prove to involve a complex interplay of structural, spectroscopic and electrodynamic properties. Designing materials with the capacity to capture and control light energy facilitates applications that now extend from solar energy to medical photonics.

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“…Often, simplifying assumptions are invoked -for example, in work by Blumen et al [78], an exact solution has been derived for fractal polymers for which all chromophores have the same absorption cross-section, all rates of transfer between nearest neighbors also being considered equal. More radical approaches to the problem have also been attempted, such as modeling the diffusion of the excitation under a constant force as a continuum process [79], or using the Eyring (membrane permeation) model to treat energy flux as diffusion in a potential with thermal barriers [80].…”

Section: Dendrimeric Materialsmentioning

confidence: 99%

Energy harvesting: a review of the interplay between structure and mechanism

Andrews

2008

J. Nanophoton

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Abstract. The science of energy harvesting has recently undergone radical change, with the advent of new materials exploiting mechanisms fundamentally different from those of traditional solar cells. Utilizing principles that are in many cases acquired from breakthroughs in molecular photobiology, the introduction of a range of new synthetic polymers, multichromophore arrays and nanoparticle-based materials heralds a marked resurgence of interest, a shift of focus and heightened expectations in the science of light-harvesting. The interplay between structure and mechanism significantly impinges upon issues extending from fundamental theory to the principles of energy-harvesting materials design. Understanding and exploiting the principles allows materials to be engineered that can harness absorbed energy with heightened efficiency. Two of the key areas of application are dendrimers and rare-earth doped solids.

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Transport of optical excitations on dendrimers in the continuum approximation

Cited by 10 publications

References 28 publications

Coherent exciton transport in dendrimers and continuous-time quantum walks

Coherent exciton transport in dendrimers and continuous-time quantum walks

Mechanisms of Light Energy Harvesting in Dendrimers and Hyperbranched Polymers

Energy harvesting: a review of the interplay between structure and mechanism

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