SUMMARY
The discussion focuses on the calculation of the electric dipole moment in semiconductors using k.p theory, particularly for band-to-band transitions. It highlights a discrepancy where the calculated dipole moment exceeds the dimensions of the elementary unit cell, raising questions about the validity of the overlap integral between Bloch functions and the position operator. Additionally, it critiques the common reliance on the vector potential and electron momentum (A.p) in textbooks, noting a lack of references that utilize the electric dipole moment throughout the entire calculation process.
PREREQUISITES
- Understanding of k.p theory in semiconductor physics
- Familiarity with Bloch functions and their properties
- Knowledge of electric dipole moments and their significance in optical processes
- Basic concepts of band-to-band transitions in semiconductors
NEXT STEPS
- Research the application of k.p theory in semiconductor band structure calculations
- Explore the mathematical formulation of overlap integrals in solid-state physics
- Investigate the role of electric dipole moments in optical transitions
- Find comprehensive references that utilize electric dipole moments in semiconductor calculations
USEFUL FOR
Physicists, semiconductor researchers, and students studying solid-state physics who are interested in the theoretical aspects of electric dipole moments and their applications in semiconductor optics.