Polarons and Excitons

Kuper, C.G.

doi:10.1063/1.3050695

Cited by 153 publications

(106 citation statements)

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“…We write where &ak) is the creation (annihilation) operator for an excitation to the kth Frenkel mode. In (12), &,k = Eek -E,, where E, is the energy of the ground state. Interactions among different modes and different bands are usually neglected while describing excitonic motion in a molecular crystal [19,30].…”

Section: Hamiltonianmentioning

confidence: 99%

“…The second method relies on a Markovian master equation in order to determine time evolution of the probability of finding an exciton at a particular site [8-111. Another method is to study the interaction of excitons with phonons by using Green's function techniques, perturbation, etc. [12][13][14][15][16]. Besides, a few nonperturbative approaches have been suggested [17][18].…”

Section: Introductionmentioning

confidence: 99%

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A model calculation on the transport of excitation energy in a molecular crystal

Datta

Priyadarshy

1987

Int J of Quantum Chemistry

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We report a model calculation of the transport of a local (site) excitation in a doped molecular crystal containing one impurity. We do not consider the impurity as a direct trap for electronic excitations (zero trap depth) but assume that exciton-phonon interaction is exclusively given by the coupling of excitons with the vibrational displacement of the impurity. The dynamical problem is solved by using a time-dependent effective potential consisting of equilibrium average exciton-phonon interaction and fluctuations around this average. Two correlation functions are computed using the slow phonon limit and assuming that the temperature of the system is 300 K.Transmission of the excitation energy over a distance of eight spacings takes place, electronically, within a few picoseconds. With the exciton-phonon interaction switched on, calculated correlation functions diminish very rapidly with increasing time, indicating that an irreversible transfer of excitonic energy to the thermal bath takes place. Thus transmission of the excitation energy over such a distance (and without a high rate of trapping) is not an efficient process.

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Section: Hamiltonianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A model calculation on the transport of excitation energy in a molecular crystal

Datta

Priyadarshy

1987

Int J of Quantum Chemistry

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“…Despite the many extensive works on solving the model Hamiltonian Eq. [69,70,71,72,73], there yet does not exist an exact solution for the problem. The best and most accurate solution available is the theory developed by Feynman [74] using a variational method based on path integrals.…”

Section: Fröhlich Theorymentioning

confidence: 99%

Theoretical Description of the Electron-Lattice Interaction in Molecular and Magnetic Crystals

Mozafari¹

2016

Linköping Studies in Science and Technology. Dissertations

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“…is the polaron mass, -a the coupling constant, and WLO the LO-phonon frequency [3]. This basic polaron concept has been developed beyond the perturbation treatment and applied for the explanation of a great variety of experimental data in polar crystals [3 to 61.…”

Section: Introductionmentioning

confidence: 99%

Polarons in the Degenerate‐Band Case

Trebin

Rößler

1975

Physica Status Solidi (b)

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The Frohlich polaron model has been applied so far only to the case of electron states with simple parabolic bands. An extension is given of the polaron concept to more complex states as e.g. the valence bands in zincblende-type crystals. The band structure is described as in the spherical model of Baldereschi and Lipari. The electron-phonon interaction in the Frohlich approximation is treated by perturbation theory. Besides a renormalization of the band parameters the electron-phonon coupling results in a partial mixing of electronic states from different subbands, i.e. of light and heavy holes.

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Polarons and Excitons

Cited by 153 publications

References 0 publications

A model calculation on the transport of excitation energy in a molecular crystal

A model calculation on the transport of excitation energy in a molecular crystal

Theoretical Description of the Electron-Lattice Interaction in Molecular and Magnetic Crystals

Polarons in the Degenerate‐Band Case

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