Abstract
In the first part of this work (Bonilla L L, Kochelap V A and Velasco C A 1999 J. Phys.: Condens. Matter 11 6395) we formulated and analysed a model of transverse self-sustained pattern formation in a photoexcited and voltage-biased quantum well (QW) structure. Our model explained the formation of patterns of quasi-neutral two-dimensional electron-hole plasma whose intrinsic bistability was shown in recent experiments. We found patterns containing regions with different spreading of the electron and hole wave functions and different densities of the two-dimensional electron-hole plasma. In this second part we extend our results to QWs with finite transverse dimension. We will show that the boundary conditions at the edges of the QW layer control the behaviour of the patterns. We will study the stability of the patterns and will show its strong dependence on the boundary conditions. A linear stability criterion for these patterns is presented and compared with numerical simulations.
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