Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices

1 Dynamics of Electric Field Domains in Superlattices.- 1.1 Introduction.- 1.2 Steady States.- 1.3 Phase Diagram and PC Time-Dependent Oscillations.- 1.4 Asymptotics.- 1.5 Final Remarks.- 2 Oscillatory Transport Instabilities and Complex Spatio-Temporal Dynamics in Semiconductors.- 2.1 Introduction.- 2.2 Current Filaments in Crossed Electric and Magnetic Fields.- 2.3 Spiking in Layered Semiconductor Structures.- 2.4 Field Domains in Superlattices.- 2.5 Conclusions.- 3 Space Charge Instabilities and Nonlinear Waves in Extrinsic Semiconductors.- 3.1 Introduction.- 3.2 Full Rate Equation Model.- 3.3 Non-Dimensionalization and the Reduced Model.- 3.4 The Case of Time-Independent (dc) Current Bias.- 3.5 The Case of dc Voltage Bias.- 3.6 Concluding Remarks.- 4 Autosolitons in Form of Current Filaments and Electric Field Domains in Semiconductors and Devices.- 4.1 Introduction.- 4.2 Formation of Current Filaments and Electric Field Domains in Semiconductors with Positive Differential Conductivity.- 4.3 Local Active and Damping Processes. Concept of "Activator" and "Inhibitor".- 4.4 Autosolitons in Semiconductors.- 4.5 Some Properties of Autosolitons.- 4.6 Conclusions.- 5 Pattern Formation of the Electroluminescence in AC ZnS:Mn Devices.- 5.1 Introduction.- 5.2 Experimental Set-Up.- 5.3 Electroluminescence Basics.- 5.4 Experimental Results.- 5.5 Discussion.- 5.6 Conclusions.- 6 Structure Formation in Charge Density Wave Systems.- 6.1 The Peierls Transition.- 6.2 Materials.- 6.3 The Electronic Transport in CDW Systems.- 6.4 Structure Formation of CDW Systems.- 6.5 Conclusion and Outlook.- 7 Current Filamentation in Dipolar Electric Fields.- 7.1 Introduction.- 7.2 Stationary Current Filaments in a Dipolar Electric Field.- 7.3 Filamentary Structure under InterbandIllumination.- 7.4 Conclusions.- 8 Spatiotemporal Patterns and Generic Bifurcations in a Semiconductor Device.- 8.1 Introduction.- 8.2 Measuring Techniques.- 8.3 Experimentally Observed Bifurcation Sequences by Increasing the DC Voltage Bias.- 8.4 Influence of Other Parameters on the Dynamical Behaviour.- 8.5 Model and Physical Mechanism.- 8.6 Numerical Results.- 8.7 Summary and Conclusions.- 9 Current Filamentation in P-I-N Diodes: Experimental Observations and an Equivalent Circuit Model.- 9.1 Introduction.- 9.2 Theoretical Description.- 9.3 Stationary Pattern Formation.- 9.4 Spatio-Temporal Dynamics.- 9.5 Conclusion.- 10 Nonlinear and Chaotic Charge Transport in Semi-Insulating Semiconductors.- 10.1 Introduction.- 10.2 Materials and Experimental Procedure.- 10.3 Results and Discussion.- 10.4 Model of LFO in Crystalline Semi-Insulating Semiconductors with Deep Levels.- 10.5 Conclusions.- 11 Technical Applications of a 2-D Optoelectronic P-N-P-N Winner-Take-All Array.- 11.1 Introduction.- 11.2 The Winner-Take-All Network.- 11.3 Applications of the WTA Network.- 11.4 Concluding Remarks.