Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices
Proceedings of a Symposium Organized Along with the International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment Noordwijkerhout, The Netherlands, July 4¿7, 1994 Herausgegeben von Niedernostheide, Franz-Josef
Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices
Proceedings of a Symposium Organized Along with the International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment Noordwijkerhout, The Netherlands, July 4¿7, 1994 Herausgegeben von Niedernostheide, Franz-Josef
In Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices the contributions of the International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment (ICPF '94) in Noordwijkerhout, held by many internationally reknown experts, are compiled. To connect the field of semiconductor physics with the theory of nonequilibrium dissipative systems, the emphasis lies on the study of localized structures, their stability and bifurcation behaviour. A point of special interest is the evolution of dynamic structures and the investigation of more complex…mehr
In Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices the contributions of the International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment (ICPF '94) in Noordwijkerhout, held by many internationally reknown experts, are compiled. To connect the field of semiconductor physics with the theory of nonequilibrium dissipative systems, the emphasis lies on the study of localized structures, their stability and bifurcation behaviour. A point of special interest is the evolution of dynamic structures and the investigation of more complex structures arising from interactions between these structures. Possible applications of nonlinear effects and self-organization phenomena with respect to signal processing are discussed.
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.
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.
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