Instabilities and Self-Organization Phenomena in High Density Exciton Systems

Abstract

The influence of final value of exciton lifetime on exciton condensed phase formation is investigated in deterministic and stochastic approach. It is shown that in some region of pumping, the periodical distribution of exciton density takes place. The numerical solution for periodical distribution of exciton density is obtained for different values of pumping. There are critical values of exciton lifetime for appearance of exciton condensed phase. The distribution density function becomes narrower with increasing pumping.

Ordered dissipative structures in exciton systems in semiconductor quantum wells

“…Then F is a function of the density of e-h pairs. The phenomenological equation (8) for study of periodical structures in exciton systems was employed in [12] for the case of spatially uniform exciton generation in bulk materials. In the case of infinite exciton lifetime (excitons are neither created nor decay), the above equation describes equilibrium states, i.e.…”

Self-organization processes at exciton condensation in quantum wells

“…The second approach was formulated in the papers [11][12][13][14][15][16][17]. It was shown in [11] that in the case of the attractive interaction between excitons the uniform destribution of the exciton density becomes unstable with respect to periodical structure development at a certain critical value of the pumping.…”