Incoherent Exciton Trapping in Self-Similar Aperiodic Lattices

Abstract

Incoherent exciton dynamics in one-dimensional perfect lattices with traps at sites arranged according to aperiodic deterministic sequences is studied. We focus our attention on Thue-Morse and Fibonacci systems as canonical examples of self-similar aperiodic systems. Excitons progressively extend over the lattice on increasing time and, in this sense, they act as a probe of the particular arrangements of traps in each system considered. The analysis of the characteristic features of their time decay indicates that exciton dynamics in self-similar aperiodic arrangements of traps is quite close to that observed in periodic ones, but differs significatively from that corresponding to random lattices. We also report on characteristic features of exciton motion suggesting that Fibonacci and Thue-Morse orderings might be clearly observed by appropriate experimental measurements. In the conclusions we comment on the implications of our work on the way towards a unified theory of the orderings of matter.

REVTeX 3.0, 10 pages, 2 figures on request from FD-A ([email protected]). Submitted to Phys Rev B. MA/UC3M/11/94

References in corpus (2)

• Energy spectra of quasiperiodic systems via information entropy
• Exciton Optical Absorption in Self-Similar Aperiodic Lattices

Cited by in corpus (6)

• Physical nature of critical wave functions in Fibonacci systems
• Survival Probabilities in Coherent Exciton Transfer with Trapping
• Fluorescence decay in aperiodic Frenkel lattices
• X-Ray Reflectivity of Fibonacci Multilayers
• Long-range effects on optical absorption in quasiperiodic lattices
• Optical absorption in Fibonacci lattices at finite temperature