Digitale Medien
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
39 (1998), S. 3568-3576
ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
We investigate the dynamics of the energy exchange between excitonic and vibrational degrees of freedom in the context of the Holstein model. Using Nekhoroshev-type arguments we derive bounds on the energy exchange for weak exciton–vibron coupling. It is shown that for large differences of the excitonic and vibronic frequencies the energy exchange is suppressed up to times growing exponentially with the ratio of the frequencies. Although the excitonic and vibronic energies are each for itself conserved there is equipartition of the excitonic energy among all lattice sites entailing an extended exciton. However, in the limit of large exciton–vibron coupling the excitonic actions are frozen separately, which leads to exciton localization. The action freezing is reflected in breather solutions. © 1998 American Institute of Physics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.532452
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