Pattern Formation in Exciton System near Quantum Degeneracy

Abstract

We discuss models of the modulational instability in a cold exciton system in coupled quantum wells. One mechanism involves exciton formation in a photoexcited electron-hole system in the presence of stimulated binding processes which build up near exciton degeneracy. It is shown that such processes may give rise to Turing instability leading to a spatially modulated state. The structure and symmetry of resulting patterns depend on dimensionality and symmetry. In the spatially uniform 2d electron-hole system, the instability leads to a triangular lattice pattern while, at an electron-hole interface, a periodic 1d pattern develops. Wavelength selection mechanism is analyzed, revealing that the transition is abrupt (type I) for the uniform 2d system, and continuous (type II) for the electron-hole interface. Another mechanism that could possibly drive the instability involves long-range attraction of the excitons. We illustrate how such an interaction can result from current induced by exciton recombination ('plasmon wind'), derive stability criterion, and discuss likelihood of such a scenario.

6 pages, 2 figures, proceedings of International Conference on Spontaneous Coherence in Exciton Systems

References in corpus (2)

• Pattern Formation as a Signature of Quantum Degeneracy in a Cold Exciton System
• Angular distribution of photoluminescence as a probe of Bose Condensation of trapped excitons

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• Theoretical modeling of spatial and temperature dependent exciton energy in coupled quantum wells
• Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells