RT Journal Article
T1 Incoherent exciton trapping in self-similar aperiodic lattices
A1 Domínguez-Adame, Francisco
A1 Maciá, Enrique
A1 Sánchez, Angel
AB Incoherent exciton dynamics in one-dimensional perfect lattices with traps at sites arranged accordingto aperiodic deterministic sequences is studied. We focus our attention on Thue-Morse andFibonacci systems as canonical examples of self-similar aperiodic systems. Solving numerically thecorresponding master equation we evaluate the survival probability and the mean-square displacementof an exciton initially created at a single site. Results are compared to systems of the samesize with the same concentration of traps randomly as well as periodically distributed over the wholelattice. Excitons progressively extend over the lattice on increasing time and, in this sense, they actas a probe of the particular arrangements of traps in each system considered. The analysis of thecharacteristic features of their time decay indicates that exciton dynamics in self-similar aperiodicarrangements of traps is quite close to that observed in periodic ones, but differs significantly fromthat corresponding to random lattices. We also report on characteristic features of exciton motionsuggesting that Fibonacci and Thue-Morse orderings might be clearly observed by appropriate experimentalmeasurements. In the conclusions we comment on the implications of our work on theway towards a unified theory of the ordering of matter.
PB American Physical Society
SN 1098-0121 (print version)
SN 1550-235X (online version)
YR 1995
FD 1995-01-01
LK http://hdl.handle.net/10016/15226
UL http://hdl.handle.net/10016/15226
LA eng
NO This work is partially supported by Universidad Complutense through Project No. PRI61/93-4811. A.S. is partially supported by DGICyT (Spain) Grant No. PB92-0248, by MEC (Spain)/Fulbright, and by the European Union Network ERBCHRXCT930413. Work at Los Alamos is performed under the auspices of the U .S. DOE.
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