Nonequilibrium phase transitions in semiconductors : self-organization induced by generation and recombination processes
Author(s)
Bibliographic Information
Nonequilibrium phase transitions in semiconductors : self-organization induced by generation and recombination processes
(Springer series in synergetics, v. 35)
Springer-Verlag, c1987
- : us
- : gw
- : pbk
Available at 60 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. [287]-308) and index
Description and Table of Contents
- Volume
-
: gw ISBN 9783540175827
Table of Contents
1. Introduction.- 1.1 Instabilities in Semiconductors.- 1.1.1 Negative Differential Conductivity.- 1.1.2 Mechanisms for NDC.- 1.1.3 Semiconductor Transport.- 1.2 Phase Transition Analogies.- 1.2.1 Equilibrium and Nonequilibrium Phase Transitions.- 1.2.2 Semiconductors as Nonequilibrium Systems.- 1.2.3 Bifurcation Phenomena.- 2. Bistability of Homogeneous Steady States.- 2.1 One-Carrier Models.- 2.1.1 Second-Order Phase Transitions.- 2.1.2 First-Order Phase Transitions.- 2.1.3 General M-Level Mechanisms.- 2.1.4 Critical Behavior.- 2.1.5 Cyclotron-Resonance Induced Phase Transitions.- 2.2 Two-Carrier Models.- 2.2.1 Models with Band-Band Impact Ionization.- 2.2.2 Models with Band-Trap Impact Ionization.- 2.2.3 Dynamics of Threshold Switching Transitions.- 2.2.4 Auger Recombination Induced Tristability.- 2.3 Excitonic Models.- 2.3.1 Stimulated Exciton Creation.- 2.3.2 Bound-Exciton Recombination and Optical Bistability.- 3. Small Fluctuations from the Homogeneous Steady State.- 3.1 Linear Modes of One-Carrier Models.- 3.1.1 Linearized Transport Equations.- 3.1.2 Stability and Differential Conductivity.- 3.2 Filamentary Instability.- 3.2.1 The Spectrum.- 3.2.2 Bifurcation of Layered or Filamentary Stationary Structures.- 3.3 Domain Instability.- 3.4 Electromagnetic Modes.- 3.4.1 Maxwell's Equations in Media with NDC.- 3.4.2 Transverse Modes (k???).- 3.4.3 Longitudinal Modes (k???).- 3.4.4 Mixed Modes.- 3.5 Oscillatory Instability.- 3.5.1 Two-Level Models.- 3.5.2 Single-Level Models.- 4. Stationary Transverse Spatial Structures.- 4.1 Plane Current Layers.- 4.1.1 Phase Portraits.- 4.1.2 Equal-Areas Rule.- 4.1.3 Electron-Density Profiles.- 4.1.4 Current-Voltage Characteristics.- 4.2 Cylindrical Current Filaments.- 4.2.1 Electron-Density Profiles.- 4.2.2 Equal-Areas Rule.- 4.3 Influence of Boundaries.- 4.3.1 Lateral Boundary Conditions.- 4.3.2 Neumann Boundary Conditions.- 4.3.3 Dirichlet Boundary Conditions.- 4.4 Filamentation in Two-Carrier Models.- 4.4.1 Ambipolar Diffusion and Trapping.- 4.4.2 Equal-Areas Rules for Current Layers and Filaments.- 4.5 Multiple Filaments.- 5. Stability of Transverse Spatial Structures.- 5.1 Plane Current Layers.- 5.1.1 General Results.- 5.1.2 Unstable Modes of Depletion Layers.- 5.1.3 Stable Modes of the Kink Profile.- 5.2 Cylindrical Current Filaments.- 5.2.1 General Results.- 5.2.2 Unstable Mode.- 5.3 Finite Boundary Conditions.- 5.3.1 Neumann Boundary Conditions.- 5.3.2 Dirichlet Boundary Conditions.- 5.4 Fluctuation-Induced Phase Transitions.- 5.4.1 Nucleation of Current Filaments.- 5.4.2 Transverse Solitary Waves.- 6. Self-Sustained Oscillations and Chaos.- 6.1 Mechanisms for Oscillatory Behavior.- 6.1.1 Survey of Mechanisms.- 6.1.2 Transit-Time Oscillations.- 6.2 Limit-Cycle Oscillations.- 6.2.1 Circuit-Induced Oscillations.- 6.2.2 Impact-Ionization Induced Oscillations.- 6.2.3 Exciton-Induced Oscillations.- 6.3 Chaos.- 6.3.1 Routes to Chaos.- 6.3.2 Single-Carrier Effects.- 6.3.3 Impact-Ionization Assisted Driven Chaos.- 6.3.4 Impact-Ionization Induced Self-Generated Chaos.- 6.3.5 Two-Carrier Effects.- References.
- Volume
-
: pbk ISBN 9783642719295
Description
Semiconductors can exhibit electrical instabilities like current runaway, threshold switching, current filamentation, or oscillations, when they are driven far from thermodynamic equilibrium. This book presents a coherent theoretical des- cription of such cooperative phenomena induced by generation and recombination processes of charge carriers in semicon- ductors.
Table of Contents
1. Introduction.- 1.1 Instabilities in Semiconductors.- 1.1.1 Negative Differential Conductivity.- 1.1.2 Mechanisms for NDC.- 1.1.3 Semiconductor Transport.- 1.2 Phase Transition Analogies.- 1.2.1 Equilibrium and Nonequilibrium Phase Transitions.- 1.2.2 Semiconductors as Nonequilibrium Systems.- 1.2.3 Bifurcation Phenomena.- 2. Bistability of Homogeneous Steady States.- 2.1 One-Carrier Models.- 2.1.1 Second-Order Phase Transitions.- 2.1.2 First-Order Phase Transitions.- 2.1.3 General M-Level Mechanisms.- 2.1.4 Critical Behavior.- 2.1.5 Cyclotron-Resonance Induced Phase Transitions.- 2.2 Two-Carrier Models.- 2.2.1 Models with Band-Band Impact Ionization.- 2.2.2 Models with Band-Trap Impact Ionization.- 2.2.3 Dynamics of Threshold Switching Transitions.- 2.2.4 Auger Recombination Induced Tristability.- 2.3 Excitonic Models.- 2.3.1 Stimulated Exciton Creation.- 2.3.2 Bound-Exciton Recombination and Optical Bistability.- 3. Small Fluctuations from the Homogeneous Steady State.- 3.1 Linear Modes of One-Carrier Models.- 3.1.1 Linearized Transport Equations.- 3.1.2 Stability and Differential Conductivity.- 3.2 Filamentary Instability.- 3.2.1 The Spectrum.- 3.2.2 Bifurcation of Layered or Filamentary Stationary Structures.- 3.3 Domain Instability.- 3.4 Electromagnetic Modes.- 3.4.1 Maxwell's Equations in Media with NDC.- 3.4.2 Transverse Modes (k???).- 3.4.3 Longitudinal Modes (k???).- 3.4.4 Mixed Modes.- 3.5 Oscillatory Instability.- 3.5.1 Two-Level Models.- 3.5.2 Single-Level Models.- 4. Stationary Transverse Spatial Structures.- 4.1 Plane Current Layers.- 4.1.1 Phase Portraits.- 4.1.2 Equal-Areas Rule.- 4.1.3 Electron-Density Profiles.- 4.1.4 Current-Voltage Characteristics.- 4.2 Cylindrical Current Filaments.- 4.2.1 Electron-Density Profiles.- 4.2.2 Equal-Areas Rule.- 4.3 Influence of Boundaries.- 4.3.1 Lateral Boundary Conditions.- 4.3.2 Neumann Boundary Conditions.- 4.3.3 Dirichlet Boundary Conditions.- 4.4 Filamentation in Two-Carrier Models.- 4.4.1 Ambipolar Diffusion and Trapping.- 4.4.2 Equal-Areas Rules for Current Layers and Filaments.- 4.5 Multiple Filaments.- 5. Stability of Transverse Spatial Structures.- 5.1 Plane Current Layers.- 5.1.1 General Results.- 5.1.2 Unstable Modes of Depletion Layers.- 5.1.3 Stable Modes of the Kink Profile.- 5.2 Cylindrical Current Filaments.- 5.2.1 General Results.- 5.2.2 Unstable Mode.- 5.3 Finite Boundary Conditions.- 5.3.1 Neumann Boundary Conditions.- 5.3.2 Dirichlet Boundary Conditions.- 5.4 Fluctuation-Induced Phase Transitions.- 5.4.1 Nucleation of Current Filaments.- 5.4.2 Transverse Solitary Waves.- 6. Self-Sustained Oscillations and Chaos.- 6.1 Mechanisms for Oscillatory Behavior.- 6.1.1 Survey of Mechanisms.- 6.1.2 Transit-Time Oscillations.- 6.2 Limit-Cycle Oscillations.- 6.2.1 Circuit-Induced Oscillations.- 6.2.2 Impact-Ionization Induced Oscillations.- 6.2.3 Exciton-Induced Oscillations.- 6.3 Chaos.- 6.3.1 Routes to Chaos.- 6.3.2 Single-Carrier Effects.- 6.3.3 Impact-Ionization Assisted Driven Chaos.- 6.3.4 Impact-Ionization Induced Self-Generated Chaos.- 6.3.5 Two-Carrier Effects.- References.
by "Nielsen BookData"