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.
Cite
@article{arxiv.cond-mat/0503628,
title = {Pattern Formation in Exciton System near Quantum Degeneracy},
author = {L S Levitov and B D Simons and L V Butov},
journal= {arXiv preprint arXiv:cond-mat/0503628},
year = {2008}
}
Comments
6 pages, 2 figures, proceedings of International Conference on Spontaneous Coherence in Exciton Systems