SUMMARY
The discussion focuses on calculating band-to-band tunneling probability using the WKB approximation, specifically the formula T=exp(-4*lamda*sqrt(2*m*Eg^1.5)/(3*q*hbar*(deltaPhi+Eg))). The user inquires about the appropriate unit for the Planck constant, questioning whether to use J-s (6.62e-34) or eV-s (4.13e-15). The results indicate that using J-s yields zero, while eV-s results in one, leading to confusion about the insensitivity of the tunneling probability to variations in parameters such as deltaPhi, lamda, and Eg.
PREREQUISITES
- Understanding of quantum mechanics, specifically tunneling phenomena
- Familiarity with the WKB approximation in quantum mechanics
- Knowledge of the Planck constant and its units (J-s and eV-s)
- Basic concepts of band theory and energy gaps in semiconductors
NEXT STEPS
- Research the implications of using different units for the Planck constant in quantum calculations
- Study the WKB approximation in greater detail, focusing on its applications in tunneling
- Explore the factors affecting tunneling probability in semiconductor physics
- Learn about the significance of deltaPhi and its role in band-to-band tunneling
USEFUL FOR
Physicists, materials scientists, and engineers involved in semiconductor research and quantum mechanics, particularly those working on tunneling phenomena and energy band calculations.