Microscopic Theory of Semiconductors

The following sections are included:

• CONTENTS

• Preface

• Contributors

The following sections are included:

• Introduction

• Derivation of the Quantum Kinetic Equation
  • The Hamiltonian
  • The RPA-Scheme
  • The Generalized Kadanoff Baym Approximation
  • The Quantum Kinetic Equations

• The Markov Regime
  • The Boltzmann Scattering Integral
  • The Lindhard Formula

• Build-Up of Screening in Optically Excited Plasmas
  • The Time-Dependent Plasmon-Pole Approximation
  • Numerical Results

• Quantum Kinetics and Polarization Dephasing in the Transient Regime
  • Definition of the Transient Regime
  • The Quantum Kinetic Equation in the Transient Regime
  • Properties of the Transient Scattering Integral
  • The Quasi-Classical Theory of the Polarization Decay
  • Simulation in the Transient Regime

• Discussion

• References

The following sections are included:

• Introduction

• Basic Equations

• The Urbach Tail

• The Dynamical Stark Effect
  • The Stationary Solution
  • Time Dependence

• References

The following sections are included:

• Introduction

• The Semiconductor Bloch Equations

• Propagation Induced Interwell Coupling in a MWQ
  • Maxwell’s Equations
  • General Aspects of the Radiative Coupling
  • Coherent Dynamics of Radiatively Coupled QW

• Interwell Coupling through Wavefunction Overlap
  • Electronic States
  • Carrier-Phonon Coupling
  • Coulomb Interaction
  • Electric Field
  • Numerical Results

• Summary

• References

The following sections are included:

• Introduction

• General Theory
  • Semiconductor Laser Model
  • Nonequilibrium Green’s Functions
  • Coherent Field Equations
  • Propagation Equation of Correlations
  • Electromagnetic Field Energy
  • Carrier Green’s Functions

• Steady State Homogeneous Situation
  • Coherent Solution
  • Correlation Contribution
  • Energy Dissipation and Laser Output
  • Optical Processes in the Carrier Kinetics

• Discussion

• Appendix: Relation of Quantum Kinetic Approach and Classical Stochastic Theory

• References

The following sections are included:

• Introduction

• Microscopic Treatment of the Coupled Carrier-Photon Dynamics
  • Fundamental Set of Equations
  • Kinetic Equations
  • Carrier and Photon Self-Energies

• Photons in Semiconductor Microcavities
  • Steady State Solutions for Bulk Active Material
  • Steady State Solutions for Quantum-Well Gain Layers
  • Kinetic Equation for Bulk Active Material
  • Kinetic Equation for Quantum-Well Gain Layers

• Steady State and Transient Photon Emission

• Kinetic Equation of Carriers
  • Carrier-Photon Scattering
  • Carrier-Carrier Scattering

• Stationary and Transient Carrier Dynamics

• Appendix: Carrier Quasiparticle Approximation

• References

The following sections are included:

• Introduction

• Excitonic Gain

• Conclusions

• References

The following sections are included:

• Introduction

• The Model for a Single Beam Experiment

• The Coherent Signal

• Spherical and Cylinderical Symmetry

• The Incoherent Signal

• Non-Degenerate Multi-Wave-Mixing

• Discrete Symmetries

• Spontaneous Emission

• Single Beam Excitation

• Summary

• References

The following sections are included:

• Introduction

• Excitons in Semiconductor Quantum Wells

• Excitons in Quantum-Well Wires

• Electron-Hole-Pair States in Semiconductor Microcrystallites

• References

The following sections are included:

• Introduction

• The Classical Polaron

• Motion with Memory Along a Single Axis

• Numerical Trajectories

• The Local Approximation

• The One-Dimensional Caldeira-Leggett Model

• Conclusions

• References

The following sections are included:

• Introduction

• Schwinger’s Way

• The Pedestrian Way

• Compact Expression for ĝ(k, ω)

• Time Dependent Green Function

• References

The following sections are included:

• Introduction

• Equation of Motion Method
  • Hartree-Fock Hamiltonian of the 2DEG
  • Calculation of the Order Parameters in the Hartree-Fock Approximation
  • Response Functions in the Generalized Random-Phase Approximation

• The Two-Dimensional Wigner Crystal
  • Phase Diagram of the Wigner Crystal
  • Classical Model of the Wigner Crystal
  • Ground-State Energy of the Wigner Crystal in the Hartree-Fock Approximation
  • Collective Modes of the Wigner Crystal in the GRPA

• Magnetic Structure of the Wigner Crystal

• Skyrme Crystal in a Two-Dimensional Electron Gas

• Conclusion

• References

The following sections are included:

• Introduction

• Low-Density Exciton System in Direct Band Gap Semiconductors
  • Polariton Effect
  • Excitonic Molecule

• Bipolariton Wave Equation

• Solution of the Bipolariton Wave Equation

• Quasi-2D Excitonic Molecule in Quantum Wells
  • Quasi-2D m in Cavity-Embedded QWL
  • Critical Points of a Joint Density of Bipolariton States
  • Quasi-2D m in QWL without a Coplanar Waveguide

• Bipolariton in Bulk Semiconductors

• Excitonic Molecule in Quantum Well Wires

• References

The following sections are included:

• INDEX