Exciton percolation I. Migration dynamics
dc.contributor.author | Hoshen, Joseph | en_US |
dc.contributor.author | Kopelman, Raoul | en_US |
dc.date.accessioned | 2010-05-06T23:19:33Z | |
dc.date.available | 2010-05-06T23:19:33Z | |
dc.date.issued | 1976-10-01 | en_US |
dc.identifier.citation | Hoshen, Joseph; Kopelman, Raoul (1976). "Exciton percolation I. Migration dynamics." The Journal of Chemical Physics 65(7): 2817-2823. <http://hdl.handle.net/2027.42/71176> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/71176 | |
dc.description.abstract | The exciton transfer, via migration and trapping, in binary and ternary mixed crystals is formulated in terms of percolation theory and the cluster structure for binary randomly mixed crystals. An important limiting case (exciton supertransfer) is derived for long exciton lifetime, relative to jumping and trapping time. The exciton supertransfer case is solved analytically [in terms of the functions derived by J. Hoshen and R. Kopelman, Phys. Rev. B (in press)] and the solutions involve neither physical parameters nor physical constants. Other limiting cases are derived, as well as an algorithm for the general energy transfer case. This algorithm relates the migration and trapping in binary and ternary systems with the trapping‐free migration in binary systems. The algorithm involves the use of empirical information, i.e., the parameters describing the exciton dynamics in a pure crystal. The various formulations are valid for concentrations both above and below the critical (’’percolation’’) concentration, with due emphasis on small, medium, and large cluster contributions. Sample calculations are given (for the square lattice with site percolation). | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 469286 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Exciton percolation I. Migration dynamics | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/71176/2/JCPSA6-65-7-2817-1.pdf | |
dc.identifier.doi | 10.1063/1.433430 | en_US |
dc.identifier.source | The Journal of Chemical Physics | en_US |
dc.identifier.citedreference | J. Hoshen and R. Kopelman, Phys. Rev. B (in press). | en_US |
dc.identifier.citedreference | V. K. S. Shante and S. Kirkpatrick, Adv. Phys. 20, 325 (1971). | en_US |
dc.identifier.citedreference | S. Kirkpatrick, Rev. Mod. Phys. 45, 574 (1973). | en_US |
dc.identifier.citedreference | R. Kopelman, Excitons in Pure and Mixed Molecular Crystals, Excited States (Academic, New York, 1975) Vol. II. | en_US |
dc.identifier.citedreference | R. Kopelman, E. M. Monberg, F. W. Ochs, and P. N. Prasad, Phys. Rev. Lett. 34, 1506 (1975). | en_US |
dc.identifier.citedreference | R. Kopelman, E. M. Monberg, F. W. Ochs, and P. N. Prasad, J. Chem. Phys. 62, 292 (1975). | en_US |
dc.identifier.citedreference | F. W. Ochs, Ph.D. Thesis, Univ. of Michigan (1974); F. W. Ochs and R. Kopelman, (unpublished). | en_US |
dc.identifier.citedreference | R. Kopelman, J. Lumin. 12, 775 (1976); J. Phys. Chem. (in press). | en_US |
dc.identifier.citedreference | H.‐K. Hong and R. Kopelman, J. Chem. Phys. 55, 5380 (1971). | en_US |
dc.identifier.citedreference | J. Hoshen, E. M. Monberg, and R. Kopelman (unpublished). | en_US |
dc.identifier.citedreference | E. M. Monberg and R. Kopelman (unpublished). | en_US |
dc.identifier.citedreference | P. Argyrakis and R. Kopelman (unpublished). | en_US |
dc.identifier.citedreference | See, for instance, J. Koo, L. R. Walter, and G. Geschwind, Phys. Rev. Lett. 35, 1669 (1975). However, in this particular experimental situation we wonder to what extent the thermal activation and deactivation require explicit recognition. | en_US |
dc.identifier.citedreference | P. W. Anderson, Phys. Rev. 109, 1492 (1958). | en_US |
dc.owningcollname | Physics, Department of |
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