Nonlinear-driven instability of dynamical plasma in solids: Emergence of spatially self-organized order and chaotic-like behavior

We analyze in detail the nonlinear kinetics of a carrier system in a photoi njected plasma in semiconductors under the action of constant illumination with ultraviolet light. We show that the spatially homogeneous steady-state becomes unstable, and a charge density wave emerges after a critical inten sity of the incident radiation is achieved. It is shown that this instabili ty can only follow in doped p-type materials. In bulk systems the critical intensity was found to be too high making the phenomenon not observable und er realistic experimental conditions. However, a more efficient electron ex citation can be obtained in low dimensional p-type systems, like some molec ular and biological polymers, where the interaction may follow by chemical interaction with the medium. We show that for intensities beyond the critic al threshold an increasing number of modes provide further contributions (s ubharmonics) to the space inhomogeneity. It is conjectured that this proces s could lead the system to display chaotic-like behavior.